Disciplines / Research questions

Physics

691 research topics · 2739 questions

Quantum states and their teleportation4 questions
  1. Which graphs are suitable for quantum teleportation: graph-structural characterization of teleportation resources in quantum-walk protocols

    Open for about 9 years
  2. Teleportation-based quantum state tomography: the continuous-variable extension and minimal resources for structured states

    Open for less than 1 year
  3. A coincidence-time-loophole-free criterion for certifying quantum teleportation: the Clauser-Horne analogue beyond averaged fidelity

    Open for about 5 years
  4. Minimal classical communication cost for non-classical quantum teleportation fidelity

    Open for about 14 years
Some unresolved issues in quantum phase transitions and quantum entanglement5 questions
  1. Local relaxation, persistent memory, and the entanglement barrier after interacting quantum quenches

    Open for about 18 years
  2. Correlated fractional-quantum-Hall-like phases in artificial-gauge-field optical lattices: formation, preparation, and detection in the many-body regime

    Open for about 21 years
  3. Kibble–Zurek scaling for slow quenches across an extended gapless region between two quantum phase transitions

    Open for about 18 years
  4. Pair superfluidity in pair-hopping Bose-Hubbard models: two-particle correlator asymptotics, insulator-to-pair-condensate criticality, and phase boundaries beyond mean field

    Open for about 19 years
  5. Scalable, noise-robust generation and certification of multipartite entanglement in optical lattices using only local interactions and lattice driving

    Open for about 6 years
Quantum chip3 questions
  1. Processor-scale photonic links for superconducting-qubit control and readout: optical dissipation, cryogenic multiplexing, link noise, and background thermal occupancy

    Open for about 6 years
  2. On-demand entangling exchange in every unit cell of foundry-fabricated SiMOS spin-qubit arrays and coherent operation beyond one dimension

    Open for less than 1 year
  3. On-chip cryogenic multiplexed readout of Si/SiGe quantum-dot arrays: switch speed, magnetic-field robustness, fabrication yield, and validated readout fidelity at scale

    Open for about 1 year
Quantum channel4 questions
  1. Classical capacity and Gaussian-encoding optimality of the lossy bosonic channel with non-Markovian memory

    Open for about 18 years
  2. Whether the coherent channel-discrimination bias pscoh(N0,N1)−12p_s^{\rm coh}(\mathcal{N}^0,\mathcal{N}^1)-\tfrac{1}{2} is a metric on the space of quantum channels

    Open for about 6 years
  3. Choi capacities of quantum channels: entanglement-generation equality, single-letter collapse, and higher-order hierarchy gaps

    Open for about 1 year
  4. Covert quantum capacity of the lossy thermal-noise bosonic channel: closing the achievability–converse gap

    Open for about 2 years
Fundamental issues in manipulating quantum states in solid systems inspired by quantum information5 questions
  1. Scalability and time–coupling trade-offs of quantum-Zeno-assisted shortcut-to-adiabaticity state transfer in strongly coupled spin chains

    Open for about 8 years
  2. Simultaneous high-fidelity universal control, initialization, and readout in semiconductor quantum-dot spin-qubit arrays beyond a few qubits

    Open for about 4 years
  3. Scalable suppression of control-line radiative decay in superconducting-qubit architectures while transmitting strong control pulses for fast high-fidelity gates

    Open for about 6 years
  4. Control, readout, and realistic-decoherence certification for the protected current-mirror superconducting qubit

    Open for about 20 years
  5. Programmable coherent Floquet control of Hubbard excitons: achieving azimuthal SU(2) and multi-pulse control beyond uniaxial pi/2 rotations of the Sr2CuO3 Hubbard exciton

    Open for less than 1 year
Fundamental problems of quantum state manipulation inspired by quantum information6 questions
  1. Capability and limits of measurement-based quantum feedback beyond eigenstate preparation: general objectives, adaptive channels, and non-Markovian dynamics

    Open for about 15 years
  2. Globally optimal measurement-based feedback beyond a single qubit: multi-qubit purification and Bell-state generation under finite measurement efficiency

    Open for about 9 years
  3. Chaos-assisted full quantum state controllability by weak perturbations in many-body systems with embedded random-matrix statistics

    Open for less than 1 year
  4. Optimal information–disturbance trade-off for unknown quantum operations beyond the Haar-covariant unitary case

    Open for about 18 years
  5. Optimal weak-measurement feedback control beyond the single-qubit dephasing model: general noise channels and multi-qubit state stabilization

    Open for about 20 years
  6. Quantitative accuracy limits on quantum measurement and state preparation under a Hamiltonian bounded from below

    Open for about 2 years
Mathematical problems in quantum information6 questions
  1. The general quantum simultaneous smoothing conjecture: a single state realizing all smooth one-shot marginal divergences of a multipartite quantum state

    Open for about 13 years
  2. Unconstrained non-von-Neumann-type entropy inequalities: is the quantum entropy cone strictly smaller than the von Neumann cone?

    Open for about 22 years
  3. Exhibiting a non-sofic or non-hyperlinear group: the soficity problem sharpened by MIP* = RE

    Open for about 27 years
  4. Von Neumann entropy inequalities beyond strong subadditivity: the quantum entropy cone and balanced inequalities for Gaussian states

    Open for about 23 years
  5. Sharp Pinsker-type trace-norm bounds on conditional mutual information from Petz reconstruction and the self-commutator (Zhang–Kim conjectures on approximate strong subadditivity)

    Open for about 13 years
  6. Necessary and sufficient saturation conditions and constructive optimal POVMs for the multiparameter quantum Cramér–Rao bound at the single-copy level for general rank-deficient states

    Open for about 29 years
Quantum internet4 questions
  1. Optimal LOCC strategies and entanglement thresholds for entanglement percolation in random (heterogeneous) quantum networks

    Open for about 19 years
  2. General placement of quantum switches and optimal resource allocation in arbitrary entanglement-based network topologies

    Open for about 1 year
  3. Operational-regime delineation for sequential entanglement generation with error detection (SEG-ED) quantum repeaters

    Open for about 1 year
  4. Entanglement routing with GHZ-measurement (n-fusion) swapping under heterogeneous, resource-constrained, and decentralized quantum networks: algorithms, guarantees, and the fate of distance-independent rates

    Open for about 3 years
Key issues in direct secure quantum communication7 questions
  1. Formal security proofs, detection-threshold analyses, and overhead-minimal countermeasures for semiquantum secure direct communication under active adversaries

    Open for about 7 years
  2. Composable finite-key security and optimal active attacks for ultrabroadband two-way quantum-secured communication (FL-QKD/QSDC)

    Open for about 11 years
  3. Real-life secrecy capacity of quantum secure direct communication in the Wyner wiretap framework: finite block lengths, imperfect devices, and capacity-approaching forward codes

    Open for about 6 years
  4. Device-independent security proof of quantum secure direct communication against general coherent attacks

    Open for about 7 years
  5. Finite-size secrecy-capacity analysis for the generic security framework of quantum secure direct communication

    Open for about 5 years
  6. Low-complexity phase-basis measurement for high-dimensional time/phase quantum secure direct communication

    Open for about 2 years
  7. Rigorous security characterization and secure-rate bounds for quantum secure direct communication using continuum coherent states (Guerra–Rios–Ramos protocols)

    Open for about 10 years
Quantum mass standard4 questions
  1. Mutual consistency of independent kilogram realizations and the end of consensus-value dissemination (CCM Phase 3 transition)

    Open for about 8 years
  2. Exactness of the Josephson and quantum Hall relations and convergence of independent kilogram realizations in the revised SI

    Open for about 19 years
  3. Quantifying the equivalence-principle test implied by the agreement between atom-counting and Kibble-balance realizations of the kilogram

    Open for about 4 years
  4. Suppressing alignment-dominated type-B uncertainties to reach a 10−810^{-8}-level realization of the kilogram with the KRISS Kibble balance

    Open for about 6 years
Column transfer matrices2 questions
  1. Finite-size structural relation between corner-transfer-matrix-derived and finite-system DMRG-optimized matrix product states

    Open for about 16 years
  2. Row–column transfer-matrix inversion relations and inhomogeneous generalizations for vertex models of canonical Grothendieck polynomials and their duals

    Open for about 5 years
Critical Ising magnetic field perturbation and E8E_8 mass spectrum1 questions
  1. Integrability breaking of the E8E_8 spectrum in the transverse-field Ising chain: heavy-particle lifetimes, lineshapes, and robustness of high-energy E8E_8 peaks in BaCo2_2V2_2O8_8

    Open for about 5 years
Critical Ising conformal field theory (c=1/2c=1/2)2 questions
  1. Rigorous bosonization of the critical Ising model beyond planar domains: higher-genus Riemann surfaces and the off-critical regime

    Open for about 2 years
  2. Universality class of the c=12⊗c=0c=\frac{1}{2}\otimes c=0 coupling: the Ising model on an uncorrelated critical site-percolation lattice at p=pcp=p_c

    Open for about 8 years
Exact solution of zero-field 2D Ising model3 questions
  1. Complete geometric parametrization of the Fisher zeros of the planar Ising model (the complexification conjecture for the Livine–Bonzom–Lis immersion formula)

    Open for about 7 years
  2. Rigorous status of the claimed exact solution of the two-dimensional Ising model with next-nearest-neighbor interactions at zero field

    Open for less than 1 year
  3. Critical behavior near TcT_c of the boundary-row spin-spin correlation function of the finite-size two-dimensional Ising model with periodic-free boundary conditions

    Open for less than 1 year
The evolutionary dynamics mysteries of influenza virus5 questions
  1. Population-Level Contribution of Receptor-Binding-Avidity Selection to Human Influenza A Virus Antigenic Drift: Quantification, Mechanism, and Epidemiological Consequences

    Open for about 16 years
  2. Mechanism of serum-antibody escape by conserved influenza H3N2 hemagglutinin trimer-interface mutations and the biophysical basis of phenotype-specific epistasis in HA evolution

    Open for about 1 year
  3. Robustness of canalization in human influenza A(H3N2) antigenic evolution: original antigenic sin, joint HA-NA antigenicity, and deep bifurcations

    Open for about 14 years
  4. Mechanistic determinants of the global source–sink circulation of seasonal influenza A(H3N2) and the surveillance design required to extend the vaccine-strain prediction horizon

    Open for about 18 years
  5. Mechanistic link between immune epidemiology and clonal interference in seasonal influenza A/H3N2 evolution

    Open for about 14 years
Six-vertex—XXZ spin chain correspondence2 questions
  1. Parity-induced logarithmic term in the min-entropy of the critical XXZ chain: prove or refute that the prefactor equals α=πR2=1/(4K)\alpha=\pi R^{2}=1/(4K) throughout −1<Δ≤1-1<\Delta\leq 1

    Open for about 1 year
  2. Modified operators and off-shell relations beyond the rational six-vertex model: the trigonometric anti-periodic, reflection-algebra, and higher-rank extensions of the linear-system method

    Open for about 2 years
Critical singularity of six-vertex model4 questions
  1. Off-critical deformation and full discrete holomorphicity of the quantum-group conserved currents in the six-vertex and trigonometric solid-on-solid models

    Open for about 9 years
  2. Exact two-point correlation functions of the six-vertex height field with domain-wall boundary conditions at generic anisotropy, and the antiferroelectric mesoscopic crossover

    Open for about 5 years
  3. Generic singularities of six-vertex limit shapes and the fluctuation processes at them

  4. Undetermined multiplicative constants in the large-NN asymptotics of the six-vertex model with domain wall boundary conditions

Six-vertex model1 questions
  1. Classification of boundary fluctuation universality classes for the six-vertex model with domain-wall boundary conditions near the critical anisotropy Δ=1\Delta=1 and in degenerate zero-weight limits

    Open for about 2 years
Six-vertex transfer matrix2 questions
  1. Scaling limit of the Zr\mathcal{Z}_r-invariant inhomogeneous six-vertex model for r≥3r\ge3 and for non-periodic inhomogeneities: identification of the continuum conformal field theories

    Open for about 5 years
  2. Singular parameter regimes and localisation hypotheses in the asymmetric six-vertex model construction of quantum cohomology of Grassmannians

    Open for about 7 years
Six-vertex free energy3 questions
  1. Boundary-condition dependence of the six-vertex bulk free energy: extending the density-only (n-equivalence) classification beyond periodic matched patterns

    Open for about 20 years
  2. Boundary-condition dependence of the ice-point six-vertex entropy: classification of boundary conditions, merged-boundary entropies, and the Néel partition function

    Open for about 11 years
  3. Thermodynamic limit of the six-vertex model with a reflecting end beyond the disordered regime: ferroelectric and antiferroelectric free energies and phase separation

    Open for about 12 years
Spiral wave dynamics and fibrillation control10 questions
  1. Generalization of stochastic birth-death termination of spiral-wave dynamics in cardiac tissue to patient-specific 3D atrial geometry, remodeling substrate, and persistent atrial fibrillation

    Open for about 4 years
  2. Extending the particle model of spiral defect chaos to boundary annihilation, angle-resolved encounters, and the ionic dependence of tip attraction

    Open for about 2 years
  3. Defibrillation by teleportation beyond two-dimensional simulation: experimental realization of the designed single-stimulus protocol and the three-dimensional scroll-wave generalization

    Open for about 4 years
  4. Quantitative dynamics of phase defect lines and surfaces in excitable media: motion, stability, interaction laws, and surface analogues of filament tension

    Open for about 5 years
  5. Elimination of scroll waves in three-dimensional cardiac-tissue models by control currents confined to a two-dimensional surface

    Open for about 7 years
  6. Universality of the spectral exponents and the possibility of a Kolmogorov-like scaling theory for spiral- and scroll-wave turbulence in cardiac excitable media

    Open for about 9 years
  7. Open problems in adjoint-optimized ultra-low-energy defibrillation: singularity-targeting costs, waveform realizability, optimization stability, and synthesis without full state knowledge

    Open for about 2 years
  8. Nonlinear stability, reduced interaction dynamics, and bifurcations of planar spiral waves beyond finite-disk truncation

    Open for about 6 years
  9. Surface-impact termination of scroll waves: validation beyond the idealized Barkley medium, the mechanisms setting the ~1 V/cm termination threshold, and the critical depolarized-layer thickness

    Open for about 7 years
  10. Mechanism and field-orientation dependence of far-field pacing termination of spiral waves pinned to ischaemic heterogeneities in anisotropic cardiac tissue

    Open for about 9 years
Mechanism of colossal magnetoresistance in manganites5 questions
  1. Microscopic driving force and phase diagram of current-induced polaron melting and ordering in colossal-electroresistance manganites

    Open for about 19 years
  2. Microscopic origin of dimensionality-dependent ultrafast polaron redressing in perovskite versus layered manganites

    Open for about 9 years
  3. Generality and origin of nanometer-scale phase separation in the paramagnetic window of mixed-valence perovskite manganites

    Open for about 19 years
  4. Quantum carrier mobility versus self-confinement in the arrested phase separation of double-exchange models

    Open for about 5 years
  5. How polaron dynamics control the magnitude of colossal magnetoresistance in ferromagnetic manganites

    Open for about 10 years
Close-packed dimer model3 questions
  1. Constructive derivation of the monomer–topological-defect correspondence from the Grassmann-integral representation of the two-dimensional classical dimer model

    Open for about 3 years
  2. Infrared fate of the noncompact CP1^1 gauge theory: is the Coulomb-to-crystal transition of the three-dimensional classical dimer model continuous or weakly first order?

    Open for about 16 years
  3. Central charge of the square-lattice dimer model: reconciling the c=1c=1 height-field and c=−2c=-2 symplectic-fermion conformal descriptions

    Open for about 14 years
Experimental confirmation of significantly enhanced radiative heat transfer at nanoscale9 questions
  1. Mechanism of giant heat transfer between metallic bodies across nanometre vacuum gaps: the radiation–conduction crossover and the validity of fluctuational electrodynamics

    Open for about 9 years
  2. Heat transfer between parallel plates at vacuum gaps below 7 nm: testing fluctuational electrodynamics and locating the photon-tunneling to non-radiative crossover in the extreme near field

    Open for about 6 years
  3. Limits of fluctuational electrodynamics and the crossover to non-radiative heat transfer at sub-nanometre vacuum gaps

    Open for about 10 years
  4. Quantitative, spectrally resolved, and scalable experimental characterization of near-field radiative heat transfer between parallel structures in the deep subwavelength regime

    Open for about 10 years
  5. Microscopic theory bridging radiative, phononic, and electronic heat transfer across atomic-scale vacuum gaps

    Open for about 9 years
  6. Model–experiment closure for near-field radiative heat transfer between macroscale planar surfaces at large temperature differences: temperature-dependent optical constants and near-field thermophotovoltaic device losses

    Open for about 9 years
  7. Microscopic origin of the extreme near-field heat-transfer excess between clean gold surfaces in vacuum

    Open for about 9 years
  8. Origin of the giant near-field heat flux between metallic surfaces at nanometre vacuum gaps

    Open for about 10 years
  9. Experimental verification of super-Planckian radiative heat transfer between macroscale metallic surfaces at 50-100 nm gaps with ultrathin films

    Open for about 7 years
Nanostructured silicon thermoelectric materials5 questions
  1. Phonon-mediated thermoelectric enhancement in strongly confined single-crystal semiconductor nanowires: phonon-drag crossover, transport limits, and generality across material classes

    Open for about 18 years
  2. Microscopic validation of pore-boundary scattering, the low-temperature Seebeck anomaly, and the ZT ≈ 1 at 1000 K projection for porous silicon nanowire thermoelectrics

    Open for about 5 years
  3. Room-Temperature Power-Factor Enhancement by Field-Effect Doping and Quantum Confinement in Scaled Silicon Nanowires

    Open for about 12 years
  4. Validity of the phonon–surface roughness scattering theory for the lattice thermal conductivity of thin silicon nanowires in the sub-20-nm, low-temperature, and strong-roughness regimes

    Open for about 17 years
  5. Microscopic mechanism of the near-amorphous lattice thermal conductivity of rough silicon nanowires

    Open for about 18 years
Can stochastic resonance improve the signal-to-noise ratio of weak signal detection?8 questions
  1. Tuning-free generalization of stochastic-resonance weak-signal enhancement across signal classes, noise statistics, and real measurement systems

    Open for about 31 years
  2. Quantitative theory and parameter-selection criteria for modulation-based stochastic-resonance weak-signal detection beyond the adiabatic small-parameter regime

    Open for about 8 years
  3. Statistical detection theory for stochastic-resonance-aided spectrum sensing in the low-SNR regime

    Open for about 17 years
  4. Quantitative weak-signal detection with stochastic resonance in Schmitt-trigger detector arrays: numerical inversion of the last-transition-time statistic, calibration with minimal detector counts, and low-frequency extension

    Open for about 1 year
  5. Stochastic-resonance recovery of unknown linear frequency modulated signals in strong noise: validation beyond Gaussian-white-noise simulations

    Open for about 6 years
  6. Non-Gaussian noise, covariance-aware weighting, and data-driven decomposition-level selection for double-threshold multiscale stochastic resonance

    Open for less than 1 year
  7. Stochastic-resonance theory of the asymmetric time-delayed bistable system beyond the small-delay approximation

    Open for about 6 years
  8. When does stochastic resonance improve weak-signal detection, and how can noise and system parameters be tuned in general?

    Open for about 26 years
Is it possible to achieve far-field imaging beyond the diffraction limit?1 questions
  1. Scalable multimode continuous-variable entanglement transduction through plasmonic nanostructures toward multichannel quantum networks

    Open for about 10 years
Can exciton Bose-Einstein condensation be achieved?3 questions
  1. Two-body inelastic loss and the percent-level condensate fraction of the sub-Kelvin paraexciton Bose–Einstein condensate in Cu2O

    Open for about 15 years
  2. Dark exciton Bose-Einstein condensate in semiconductor quantum wells: bright-dark exchange splitting, optical detection, and coherent dynamics

    Open for about 18 years
  3. The dark exciton Bose-Einstein condensate in semiconductors: definitive experimental verification and quantitative completion of the composite-boson prediction

    Open for about 18 years
Can a dilute magnetic semiconductor with intrinsic room-temperature ferromagnetism be fabricated?6 questions
  1. Microscopic origin of room-temperature ferromagnetism in vanadium-doped monolayer WSe2_2

    Open for about 6 years
  2. Quantitative validation of the F-centre/bound-magnetic-polaron mechanism for room-temperature ferromagnetism in Mn/Mg co-doped In2_2O3_3

    Open for about 7 years
  3. Is it possible to create magnetic semiconductors that work at room temperature?

    Open for about 26 years
  4. Microscopic mechanism of room-temperature ferromagnetism in Ga1−x_{1-x}Cux_xN nanowires: exchange pathway, role of carriers and defects, and mixed-valence effects

    Open for about 18 years
  5. Origin of the above-room-temperature dilute ferromagnetism in Co-substituted LaTa(O,N)3−δ oxynitride

    Open for about 6 years
  6. Room-temperature carrier-mediated ferromagnetism in the dilute doping regime of diluted magnetic semiconductors: attainability and quantitative enhancement routes

    Open for about 15 years
Young Supernova Remnants and Titanium 447 questions
  1. Why so few 44^{44}Ti detections? Quantifying nucleosynthesis-pathway effects versus exceptional explosions in core-collapse supernovae

    Open for about 20 years
  2. Mass and three-dimensional distribution of 44^{44}Ti in young supernova remnants: reconciling Sc K-alpha X-ray escape with gamma-ray line kinematics

    Open for about 1 year
  3. The interior Fe/Ti ratio, three-dimensional structure, and kick-recoil connection of the 44^{44}Ti-bearing ejecta in Cassiopeia A

    Open for about 9 years
  4. The dominant source of Galactic 44Ti and 44Ca: ordinary core-collapse supernovae or rare high-yield events

    Open for about 20 years
  5. The Galactic population of 44Ti-decay-line supernova remnants: jointly constraining yields, rates, and progenitor spatial distributions to reconcile and predict the observed 44Ti sky

    Open for about 13 years
  6. Unshocked interior iron or decoupled Fe/44^{44}Ti production: the origin of the spatial decorrelation between radioactive 44^{44}Ti and iron X-ray emission in Cassiopeia A

    Open for about 12 years
  7. Self-consistent three-dimensional modeling of the Cassiopeia A supernova: explosion energy, 44^{44}Ti production and distribution, jet origin, and the connection to the remnant

    Open for about 9 years
Wave-particle duality of quasiparticle in condensed matter4 questions
  1. Microscopic origin of the two-component internal structure of a single doped hole in two-leg Hubbard and tt-JJ ladders

    Open for about 10 years
  2. Quantitative interacting-triplon theory of quasiparticle decay and binding in the frustrated spin-ladder magnet BiCu2_2PO6_6

    Open for about 10 years
  3. Quantitative role of realistic interfacial imperfections and defects in coherent phonon transport in semiconductor superlattices

    Open for about 1 year
  4. Physical status of the autolocalizon quasiparticle of localized plastic flow in deforming metals: microscopic foundations, spectral verification, and validity limits

    Open for about 16 years
Newton's Law of Inverse Squares and Its Experimental Test2 questions
  1. Extending laboratory tests of the gravitational inverse-square law to separations below 52 μm

    Open for about 6 years
  2. Extending submillimeter tests of the gravitational inverse-square law: vibration-coupled electrostatic noise and patch potentials in torsion-pendulum experiments at shorter separations

    Open for about 6 years
Even arrow constraint3 questions
  1. Origin of the full nonuniversality of the electric critical exponents of the symmetric 16-vertex model on the square lattice

    Open for about 33 years
  2. Yang-Baxter integrability of the odd eight-vertex model, singularity completeness, and finite-torus equivalence for sixteen-vertex weight sets on the square lattice

    Open for about 56 years
  3. Integrability of the odd eight-vertex model with asymmetric weights: free-fermion manifolds and commutation of staggered transfer-matrix products

Coupled Ising models1 questions
  1. Robustness and transferability of fragmentation-driven Ashkin-Teller criticality in fluctuation coupled Ising models

Does analytic continuation in the coupling constant apply to resonant states in deformed nuclei?5 questions
  1. Single-particle resonances in higher-multipole deformed Dirac potentials: eigenphase systematics and resonances without bound-state continuation

    Open for about 16 years
  2. Completing the deformed Berggren-basis program: non-axial momentum-space construction of the single-particle continuum ensemble and many-body Gamow-shell-model applications to deformed halo nuclei

    Open for about 20 years
  3. Reliability of the analytic continuation in coupling constant (ACCC) method for two-proton emitters: the 16Ne 0+ doublet avoided crossing, width-range limits, and potential-parameter sensitivity

    Open for about 1 year
  4. Open validation and extension problems for the microscopic AMD+RGM+ACCC description of the deformed neutron halo of 31Ne

    Open for about 3 years
  5. Self-consistent Green's-function continuum treatment in deformed relativistic Hartree-Bogoliubov theory and its extension to deformed quasiparticle RPA

    Open for about 8 years
The partition function as a trace: Z=Tr⁡TMZ=\operatorname{Tr}T^M3 questions
  1. Root-of-unity completeness and Temperley-Lieb structure of the XXZ Bethe ansatz, and analytic limiting curves of six-vertex partition-function zeros

  2. Complete characterization of the disorder-solution manifold of the generalized 2D Ising model with multi-spin interactions: admissible parameter region, branch stratification, and phase transitions in its vicinity

  3. Functional equations and homogeneous limit of the determinant identity between the domain-wall six-vertex partition function and anti-periodic transfer-matrix eigenvalues

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