Improving the Lieb-Robinson bound for long-range interactions
arXiv:1604.05809 · doi:10.1007/s00023-016-0526-1
Abstract
We improve the Lieb-Robinson bound for a wide class of quantum many-body systems with long-range interactions decaying by power law. As an application, we show that the group velocity of information propagation grows by power law in time for such systems, whereas systems with short-range interactions exhibit a finite group velocity as shown by Lieb and Robinson.
References in corpus (4)
Cited by in corpus (40)
- Programmable Quantum Simulations of Spin Systems with Trapped Ions
- Long-range interacting quantum systems
- Quantum information scrambling in a trapped-ion quantum simulator with tunable range interactions
- Strictly linear light cones in long-range interacting systems of arbitrary dimensions
- Long-Range Prethermal Phases of Nonequilibrium Matter
- An improved Lieb-Robinson bound for many-body Hamiltonians with power-law interactions
- Origin of the slow growth of entanglement entropy in long-range interacting spin systems
- Out-of-equilibrium dynamics of quantum many-body systems with long-range interactions
- Exponentially Slow Heating in Short and Long-range Interacting Floquet Systems
- Quantum chaos dynamics in long-range power law interaction systems
- Absence of fast scrambling in thermodynamically stable long-range interacting systems
- Unified theory of local quantum many-body dynamics: Eigenoperator thermalization theorems
- Tightening the Lieb-Robinson Bound in Locally-Interacting Systems
- Universal Entanglement Transitions of Free Fermions with Long-range Non-unitary Dynamics
- Bounds in Nonequilibrium Quantum Dynamics
- Lieb Robinson bounds and out of time order correlators in a long range spin chain
- Maximal speed for macroscopic particle transport in the Bose-Hubbard model
- Ultrafast Variational Simulation of Non-trivial Quantum States with Long Range Interactions
- Dynamical scaling of correlations generated by short- and long-range dissipation
- On Lieb-Robinson bounds for the Bose-Hubbard model
- Local variational quantum compilation of a large-scale Hamiltonian dynamics
- Locality and Heating in Periodically Driven, Power-law Interacting Systems
- Local Noether theorem for quantum lattice systems and topological invariants of gapped states
- Lieb-Robinson bounds for open quantum systems with long-ranged interactions
- Long-Range Free Fermions: Lieb-Robinson Bound, Clustering Properties, and Topological Phases
- Hydrodynamics in long-range interacting systems with center-of-mass conservation
- Entanglement Phases in large-N hybrid Brownian circuits with long-range couplings
- Maximal Speed of Quantum Propagation
- From decay of correlations to locality and stability of the Gibbs state
- Optimal light cone for macroscopic particle transport in long-range systems: A quantum speed limit approach
- Probing unitary two-time correlations in a neutral atom quantum simulator
- Analysis of the buildup of spatiotemporal correlations and their bounds outside of the light cone
- Time-Polynomial Lieb-Robinson bounds for finite-range spin-network models
- Enhanced Lieb-Robinson bounds for commuting long-range interactions
- On Quasi-Locality and Decay of Correlations for Long-Range Models of Open Quantum Spin Systems
- Properties of thermal quantum states: locality of temperature, decay of correlations, and more
- Spatial Decay of Kubo's Canonical Correlation Function
- Lieb-Robinson bounds imply locality of interactions
- Entanglement area law and Lieb-Schultz-Mattis theorem in long-range interacting systems, and symmetry-enforced long-range entanglement
- Continuous extension of the discrete shift translations on one-dimensional quantum lattice systems