Entanglement growth and simulation efficiency in one-dimensional quantum lattice systems

Abstract

We study the evolution of one-dimensional quantum lattice systems when the ground state is perturbed by altering one site in the middle of the chain. For a large class of models, we observe a similar pattern of entanglement growth during the evolution, characterized by a moderate increase of significant Schmidt coefficients in all relevant bipartite decompositions of the state. As a result, the evolution can be accurately described by a matrix product state and efficiently simulated using the time-evolving block decimation algorithm.

6 pages, 5 figures

References in corpus (17)

• Efficient classical simulation of slightly entangled quantum computations
• Efficient simulation of one-dimensional quantum many-body systems
• Real time evolution using the density matrix renormalization group
• Time-dependent density-matrix renormalization-group using adaptive effective Hilbert spaces
• Matrix Product Density Operators: Simulation of finite-T and dissipative systems
• Thermodynamic limit of the density matrix renormalization for the spin-1 Heisenberg chain
• Mixed-state dynamics in one-dimensional quantum lattice systems: a time-dependent superoperator renormalization algorithm
• Entanglement and correlation functions following a local quench: a conformal field theory approach
• Dynamics of Entanglement in One-Dimensional Spin Systems
• Real-time dynamics in spin-1/2 chains with adaptive time-dependent DMRG
• Evolution of entanglement after a local quench
• The Dynamics of 1D Quantum Spin Systems Can Be Approximated Efficiently
• Time evolution algorithms for Matrix Product States and DMRG
• Is efficiency of classical simulations of quantum dynamics related to integrability?
• Bounds on Information Propagation in Disordered Quantum Spin Chains
• Spin-charge separation in two-component Bose-gases
• Higher Order Methods for Simulations on Quantum Computers

Cited by in corpus (33)

• Entanglement entropy and conformal field theory
• Spread of correlations in long-range interacting quantum systems
• Can One Trust Quantum Simulators?
• Entanglement dynamics after quantum quenches in generic integrable systems
• Matrix product simulations of non-equilibrium steady states of quantum spin chains
• Entanglement spreading in a minimal model of maximal many-body quantum chaos
• Entanglement entropy of excited states
• Quasiparticle dynamics of symmetry resolved entanglement after a quench: the examples of conformal field theories and free fermions
• Entanglement contour
• Entanglement evolution and generalised hydrodynamics: interacting integrable systems
• Quantum information dynamics in multipartite integrable systems
• Time evolution of 1D gapless models from a domain-wall initial state: SLE continued?
• Exact matrix product solutions in the Heisenberg picture of an open quantum spin chain
• Spreading of entanglement and correlations after a quench with intertwined quasiparticles
• Towards a Generalized Hydrodynamics description of Rényi entropies in integrable systems
• Quantum Speed Limits for Observables
• Entanglement and diagonal entropies after a quench with no pair structure
• Rényi entropies of generic thermodynamic macrostates in integrable systems
• Dynamical manifestation of Gibbs paradox after a quantum quench
• Growth of entanglement of generic states under dual-unitary dynamics
• Prethermalisation and Thermalisation in the Entanglement Dynamics
• Forecasting long-time dynamics in quantum many-body systems by dynamic mode decomposition
• End-to-end entanglement in Bose-Hubbard chains
• Boundary Chaos: Exact Entanglement Dynamics
• Quench Dynamics of Entanglement in an Opened Anisotropic Spin-1/2 Heisenberg Chain
• Rényi entanglement entropies for the compactified massless boson with open boundary conditions
• Quasi-particle spectrum and entanglement generation after a quench in the quantum Potts spin chain
• Splitting a critical spin chain
• Exact mapping from the $(3+1)$-dimensional Skyrme model to the $(1+1)$-dimensional sine-Gordon theory and some applications
• Exact quench dynamics of symmetry resolved entanglement in a free fermion chain
• Dynamics of charge-imbalance-resolved entanglement negativity after a quench in a free-fermion model
• Pauli weight requirement of the matrix elements in time-evolved local operators: dependence beyond the equilibration temperature
• Quantum Effects In Low Temperature Bosonic Systems