Information propagation for interacting particle systems

Abstract

We show that excitations of interacting quantum particles in lattice models always propagate with a finite speed of sound. Our argument is simple yet general and shows that by focusing on the physically relevant observables one can generally expect a bounded speed of information propagation. The argument applies equally to quantum spins, bosons such as in the Bose-Hubbard model, fermions, anyons, and general mixtures thereof, on arbitrary lattices of any dimension. It also pertains to dissipative dynamics on the lattice, and generalizes to the continuum for quantum fields. Our result can be seen as a meaningful analogue of the Lieb-Robinson bound for strongly correlated models.

4 pages, 1 figure, minor changes

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• Speed limits and locality in many-body quantum dynamics
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• Lieb-Robinson bounds and the simulation of time evolution of local observables in lattice systems
• Tightening the Lieb-Robinson Bound in Locally-Interacting Systems
• Nonequilibrium, spatio-temporal formation of the Kondo screening-cloud on a lattice
• Efficiency versus Speed in Quantum Heat Engines: Rigorous Constraint from Lieb-Robinson Bound
• Spatiotemporal buildup of the Kondo screening cloud
• Lieb-Robinson bound and almost-linear light-cone in interacting boson systems
• Maximal speed for macroscopic particle transport in the Bose-Hubbard model
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• Finite speed of quantum information in models of interacting bosons at finite density
• Tensor-network study of correlation-spreading dynamics in the two-dimensional Bose-Hubbard model
• Exponential clustering of bipartite quantum entanglement at arbitrary temperatures
• Effective light cone and digital quantum simulation of interacting bosons
• Locality of interactions for planar memristive circuits
• Exponential bound on information spreading induced by quantum many-body dynamics with long-range interactions
• Resolving the nonequilibrium Kondo singlet in energy- and position-space using quantum measurements
• Phase and group velocities for correlation spreading in the Mott phase of the Bose-Hubbard model in dimensions greater than one
• Memristive Networks: from Graph Theory to Statistical Physics
• Disordered Lieb-Robinson bounds in one dimension
• Theory of metastable states in many-body quantum systems
• Maximal Speed of Propagation in Open Quantum Systems
• Experimental tests of Lieb-Robinson bounds
• Lieb-Robinson Bounds and Quasi-locality for the Dynamics of Many-Body Quantum Systems
• Optimal light cone for macroscopic particle transport in long-range systems: A quantum speed limit approach
• Dynamics of the impurity screening cloud following quantum quenches of the Resonant Level Model
• Thermal Area Law for Lattice Bosons
• Lieb-Robinson Bounds for the Toda Lattice
• Dispersive Estimates for Harmonic Oscillator Systems
• Locality of gapped ground states in systems with power-law decaying interactions
• From Light-Cone to Supersonic Propagation of Correlations by Competing Short- and Long-Range Couplings
• Out-of-time-ordered correlators of mean-field bosons via Bogoliubov theory
• Efficient tensor network simulation of multi-emitter non-Markovian systems
• Lieb-Robinson bounds with exponential-in-volume tails
• Ballistic propagation of a local impact in the one-dimensional $XY$ model
• Learning and simulating bosonic systems via finite-energy locality