Scientists / Open questions

Immanuel Bloch

Ultracold atoms; quantum simulation; quantum many-body physics

20 questions

Existence and critical properties of the many-body localization transition in two dimensions
Scalable, single-site-verified cluster-state entanglement of neutral atoms in optical lattices by parallel controlled-collision gates and its use for one-way quantum computation
Asymptotic stability and scalability of periodically driven many-body localization: prethermal behavior versus ultimate heating, critical drive frequency, higher dimensions, and frequency-resolved criticality
Quantitative first-principles theory of the Higgs amplitude-mode response across the strongly-to-weakly interacting crossover and the discrete trapped spectrum in the two-dimensional superfluid–Mott-insulator transition
Heating, interactions, and the limits of Chern-number measurement in Floquet-engineered Hofstadter bands of ultracold atoms
Microscopic theory of the slow, diffusion-dominated expansion of interacting lattice bosons in two dimensions and across the 1D-to-2D crossover
Coherent many-body two-orbital SU(N) physics with fermionic 173Yb: exchange dynamics beyond rate equations and the Kondo-lattice/orbital-magnetic phases
Experimental realization of bosonic pairing in a two-species ultracold gas with tunable interactions in an optical lattice
Open experimental targets for chiral currents in ultracold bosonic flux ladders: vortex-core-resolved current statistics, the spin-Meissner effect, and quantum fluctuations in the chiral Mott phase
Extending the 2D topological charge pump beyond the integer 4D quantum Hall response: remaining nonlinear 4D responses, fractional 4D phases, and 4D boundary physics
Experimental establishment of the many-body localization transition and the asymptotic stability of the localized phase in interacting disordered fermions
Divergent dissipative susceptibility at the many-body localization transition: disentangling dephasing, band excitation, and loss in a controlled open quantum system
Full-range first-order spatial coherence of an interacting trapped Bose gas across the Bose–Einstein condensation transition: finite-size decay and quantitative benchmark against finite-temperature theory
Microscopic origin of the enhanced local relaxation rate and the thermal character of the relaxed state in the quenched strongly interacting one-dimensional Bose gas
Microscopic mechanisms of phase-coherence decay in a two-dimensional optical lattice of tunnel-coupled one-dimensional Bose gases
Fractional charge at domain walls and non-Abelian Berry phases in degenerate Bloch bands: the unrealized extensions of interferometric Zak-phase measurement
Entanglement of propagating quasiparticle pairs, near-critical correlation spreading, and a quantum Kibble-Zurek test in the post-quench Bose-Hubbard Mott insulator
Scaling the Floquet-engineered $\mathbb{Z}_2$ lattice gauge theory primitive with ultracold atoms to extended many-body systems
Quantum many-body real-time dynamics of the trap-quench expansion of the Fermi–Hubbard gas in two and three dimensions, beyond the semiclassical Boltzmann picture
Propagation of locally injected entropy in strongly correlated quantum lattice gases

Back to open problems

Existence and critical properties of the many-body localization transition in two dimensions

Scalable, single-site-verified cluster-state entanglement of neutral atoms in optical lattices by parallel controlled-collision gates and its use for one-way quantum computation

Asymptotic stability and scalability of periodically driven many-body localization: prethermal behavior versus ultimate heating, critical drive frequency, higher dimensions, and frequency-resolved criticality

Quantitative first-principles theory of the Higgs amplitude-mode response across the strongly-to-weakly interacting crossover and the discrete trapped spectrum in the two-dimensional superfluid–Mott-insulator transition

Heating, interactions, and the limits of Chern-number measurement in Floquet-engineered Hofstadter bands of ultracold atoms

Microscopic theory of the slow, diffusion-dominated expansion of interacting lattice bosons in two dimensions and across the 1D-to-2D crossover

Coherent many-body two-orbital SU(N) physics with fermionic 173Yb: exchange dynamics beyond rate equations and the Kondo-lattice/orbital-magnetic phases

Experimental realization of bosonic pairing in a two-species ultracold gas with tunable interactions in an optical lattice

Open experimental targets for chiral currents in ultracold bosonic flux ladders: vortex-core-resolved current statistics, the spin-Meissner effect, and quantum fluctuations in the chiral Mott phase

Extending the 2D topological charge pump beyond the integer 4D quantum Hall response: remaining nonlinear 4D responses, fractional 4D phases, and 4D boundary physics

Experimental establishment of the many-body localization transition and the asymptotic stability of the localized phase in interacting disordered fermions

Divergent dissipative susceptibility at the many-body localization transition: disentangling dephasing, band excitation, and loss in a controlled open quantum system

Full-range first-order spatial coherence of an interacting trapped Bose gas across the Bose–Einstein condensation transition: finite-size decay and quantitative benchmark against finite-temperature theory

Microscopic origin of the enhanced local relaxation rate and the thermal character of the relaxed state in the quenched strongly interacting one-dimensional Bose gas

Microscopic mechanisms of phase-coherence decay in a two-dimensional optical lattice of tunnel-coupled one-dimensional Bose gases

Fractional charge at domain walls and non-Abelian Berry phases in degenerate Bloch bands: the unrealized extensions of interferometric Zak-phase measurement

Entanglement of propagating quasiparticle pairs, near-critical correlation spreading, and a quantum Kibble-Zurek test in the post-quench Bose-Hubbard Mott insulator

Scaling the Floquet-engineered Z2\mathbb{Z}_2Z2​ lattice gauge theory primitive with ultracold atoms to extended many-body systems

Quantum many-body real-time dynamics of the trap-quench expansion of the Fermi–Hubbard gas in two and three dimensions, beyond the semiclassical Boltzmann picture

Propagation of locally injected entropy in strongly correlated quantum lattice gases

Scaling the Floquet-engineered $\mathbb{Z}_2$ lattice gauge theory primitive with ultracold atoms to extended many-body systems