Maximal speed for macroscopic particle transport in the Bose-Hubbard model
arXiv:2110.04313 · doi:10.1103/PhysRevLett.128.150602
Abstract
The Lieb-Robinson bound asserts the existence of a maximal propagation speed for the quantum dynamics of lattice spin systems. Such general bounds are not available for most bosonic lattice gases due to their unbounded local interactions. Here we establish for the first time a general ballistic upper bound on macroscopic particle transport in the paradigmatic Bose-Hubbard model. The bound is the first to cover a broad class of initial states with positive density including Mott states, which resolves a longstanding open problem. It applies to Bose-Hubbard type models on any lattice with not too long-ranged hopping. The proof is rigorous and rests on controlling the time evolution of a new kind of adiabatic spacetime localization observable via iterative differential inequalities.
arXiv comment18 pages, 3 figures
References in corpus (37)
- Many-Body Physics with Ultracold Gases
- An Area Law for One Dimensional Quantum Systems
- Light-cone-like spreading of correlations in a quantum many-body system
- Lieb-Schultz-Mattis in Higher Dimensions
- Lieb-Robinson bounds and the generation of correlations and topological quantum order
- Lieb-Robinson Bounds and the Exponential Clustering Theorem
- Topological quantum order: stability under local perturbations
- Spreading of correlations and entanglement after a quench in the one-dimensional Bose-Hubbard model
- Lieb-Robinson and the butterfly effect
- Nearly-linear light cones in long-range interacting quantum systems
- Automorphic Equivalence within Gapped Phases of Quantum Lattice Systems
- Light-cone effect and supersonic correlations in one- and two-dimensional bosonic superfluids
- Lieb-Robinson Bounds for Harmonic and Anharmonic Lattice Systems
- Finite speed of quantum scrambling with long range interactions
- Quasi-Locality Bounds for Quantum Lattice Systems. Part I. Lieb-Robinson Bounds, Quasi-Local Maps, and Spectral Flow Automorphisms
- The Lieb-Robinson light cone for power-law interactions
- Dynamical Localization in Disordered Quantum Spin Systems
- A Multi-Dimensional Lieb-Schultz-Mattis Theorem
- Adiabatic Theorem for Quantum Spin Systems
- An improved Lieb-Robinson bound for many-body Hamiltonians with power-law interactions
- Information propagation for interacting particle systems
- Absence of fast scrambling in thermodynamically stable long-range interacting systems
- Supersonic quantum communication
- Lieb-Robinson bounds and the simulation of time evolution of local observables in lattice systems
- Tightening the Lieb-Robinson Bound in Locally-Interacting Systems
- Improving the Lieb-Robinson bound for long-range interactions
- Lieb-Robinson bound and almost-linear light-cone in interacting boson systems
- Finite speed of quantum information in models of interacting bosons at finite density
- New Anomalous Lieb-Robinson Bounds in Quasi-Periodic XY Chains
- Light-cone like spreading of single-particle correlations in the Bose-Hubbard model after a quantum quench in the strong coupling regime
- Much Ado About Something: Why Lieb-Robinson bounds are useful
- Phase and group velocities for correlation spreading in the Mott phase of the Bose-Hubbard model in dimensions greater than one
- Lieb-Robinson bounds and strongly continuous dynamics for a class of many-body fermion systems in
- Lieb-Robinson bounds, the spectral flow, and stability of the spectral gap for lattice fermion systems
- Local Density Approximation for Almost-Bosonic Anyons
- Maximal Speed of Quantum Propagation
- On polynomial Lieb-Robinson bounds for the XY chain in a decaying random field
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- Speed limits and locality in many-body quantum dynamics
- Speed Limits for Macroscopic Transitions
- Bounds in Nonequilibrium Quantum Dynamics
- Topological Speed Limit
- On Lieb-Robinson bounds for the Bose-Hubbard model
- Tensor-network study of correlation-spreading dynamics in the two-dimensional Bose-Hubbard model
- Effective light cone and digital quantum simulation of interacting bosons
- Theory of metastable states in many-body quantum systems
- Maximal Speed of Propagation in Open Quantum Systems
- Experimental tests of Lieb-Robinson bounds
- Optimal light cone for macroscopic particle transport in long-range systems: A quantum speed limit approach
- On Lieb-Robinson bounds for a class of continuum fermions
- Thermal Area Law for Lattice Bosons
- Locality of gapped ground states in systems with power-law decaying interactions
- Enhanced Lieb-Robinson bounds for commuting long-range interactions
- From Light-Cone to Supersonic Propagation of Correlations by Competing Short- and Long-Range Couplings
- Macroscopic Particle Transport in Dissipative Long-Range Bosonic Systems
- Dynamical Triplet Unravelling: A quantum Monte Carlo algorithm for reversible dynamics
- Frobenius light cone and the shift unitary
- Lieb-Robinson bounds with exponential-in-volume tails
- Locality bounds for quantum dynamics at low energy