Protected quasi-locality in quantum systems with long-range interactions
arXiv:1503.01786 · doi:10.1103/PhysRevA.92.041603
Abstract
We study the out-of-equilibrium dynamics of quantum systems with long-range interactions. Two different models describing, respectively, interacting lattice bosons and spins are considered. Our study relies on a combined approach based on accurate many-body numerical calculations as well as on a quasiparticle microscopic theory. For sufficiently fast decaying long-range potentials, we find that the quantum speed limit set by the long-range Lieb-Robinson bounds is never attained and a purely ballistic behavior is found. For slowly decaying potentials, a radically different scenario is observed. In the bosonic case, a remarkable local spreading of correlations is still observed, despite the existence of infinitely fast traveling excitations in the system. This is in marked contrast to the spin case, where locality is broken. We finally provide a microscopic justification of the different regimes observed and of the origin of the protected locality in the bosonic model.
References in corpus (4)
Cited by in corpus (58)
- Programmable Quantum Simulations of Spin Systems with Trapped Ions
- Entanglement growth and correlation spreading with variable-range interactions in spin and fermionic tunnelling models
- Long-range Ising and Kitaev Models: Phases, Correlations and Edge Modes
- mVMC - Open-source software for many-variable variational Monte Carlo method
- Multi-speed prethermalization in spin models with power-law decaying interactions
- Universal Scaling Laws for Correlation Spreading in Quantum Systems with Short- and Long-Range Interactions
- Long-range topological insulators and weakened bulk-boundary correspondence
- Entanglement and fluctuations in the XXZ model 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
- Fidelity and criticality of quantum Ising chain with long-range interactions
- Symmetries and conserved quantities of boundary time crystals in generalized spin models
- Fidelity Susceptibility Study of Quantum Long-Range Antiferromagnetic Ising Chain
- Information propagation and equilibration in long-range Kitaev chains
- Effective Theory and Breakdown of Conformal Symmetry in a Long-Range Quantum Chain
- Spreading of correlations in exactly-solvable quantum models with long-range interactions in arbitrary dimensions
- A generalized phase space approach for solving quantum spin dynamics
- Violation of Cluster Decomposition and Absence of Light-Cones in Local Integer and Half-Integer Spin Chains
- Criticality of Spin Systems with Weak Long-Range Interactions
- Emergent locality in systems with power-law interactions
- Quantum dynamics in transverse-field Ising models from classical networks
- Time-dependent many-variable variational Monte Carlo method for nonequilibrium strongly correlated electron systems
- Effect of long-range hopping and interactions on entanglement dynamics and many-body localization
- Singular dynamics and emergence of nonlocality in long-range quantum models
- Trapped-ion quantum simulation of excitation transport: disordered, noisy, and long-range connected quantum networks
- Test of quantum thermalization in the two-dimensional transverse-field Ising model
- Spreading of Correlations and Entanglement in the Long-Range Transverse Ising Chain
- Universal dynamical scaling of long-range topological superconductors
- Dynamical phase transitions in quantum spin models with antiferromagnetic long-range interactions
- Finite speed of quantum information in models of interacting bosons at finite density
- Unitary dynamics of strongly-interacting Bose gases with time-dependent variational Monte Carlo in continuous space
- Spin transport in long-range interacting one-dimensional chain
- Algebraic Localization from Power-Law Interactions in Disordered Quantum Wires
- Unraveling the Excitation Spectrum of Many-Body Systems from Quantum Quenches
- Local quench spectroscopy of many-body quantum systems
- Twofold correlation spreading in a strongly correlated lattice Bose gas
- Laser pulse driven control of charge and spin order in the two-dimensional Kondo lattice
- Hydrodynamics and the eigenstate thermalization hypothesis
- Charge dynamics of correlated electrons: Variational description with inclusion of composite fermions
- Boundary driven Heisenberg-chain in the long-range interacting regime: Robustness against far from equilibrium effects
- Topological to magnetically ordered quantum phase transition in antiferromagnetic spin ladders with long-range interactions
- Long-range interaction in an open boundary-driven Heisenberg spin lattice: A far-from-equilibrium transition to ballistic transport
- Exact description of the boundary theory of the Kitaev Toric Code with open boundary conditions
- Optimal light cone for macroscopic particle transport in long-range systems: A quantum speed limit approach
- More current with less particles due to power-law hopping
- Analysis of the buildup of spatiotemporal correlations and their bounds outside of the light cone
- Breakdown of Linear Spin-Wave Theory in a Non-Hermitian Quantum Spin Chain
- Spreading of correlations in a quenched repulsive and attractive one dimensional lattice system
- Light cone in the two-dimensional transverse-field Ising model in time-dependent mean-field theory
- From Light-Cone to Supersonic Propagation of Correlations by Competing Short- and Long-Range Couplings
- Correlation dynamics of dipolar bosons in 1D triple well optical lattice
- Long-range interactions from gauge fields via dimensional mismatch
- Suppression of the horizon effect in pairing correlation functions of - chains after a quantum quench
- High Harmonic Generation in Two-Dimensional Mott Insulators
- Relativistic meson spectra on ion-trap quantum simulators
- Topological to magnetically ordered quantum phase transition in antiferromagnetic spin ladders with long-range interactions
- Quantum quenches with long range interactions
- Information propagation in a non-local model with emergent locality