Quantum dynamics of thermalizing systems

Abstract

We introduce a method "DMT" for approximating density operators of 1D systems that, when combined with a standard framework for time evolution (TEBD), makes possible simulation of the dynamics of strongly thermalizing systems to arbitrary times. We demonstrate that the method performs well for both near-equilibrium initial states (Gibbs states with spatially varying temperatures) and far-from-equilibrium initial states, including quenches across phase transitions and pure states.

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• Matrix Product States for dynamical simulation of infinite chains
• Quantum phase transition in a far from equilibrium steady state of XY spin chain
• Spectral functions in one-dimensional quantum systems at T>0
• A positive tensor network approach for simulating open quantum many-body systems
• Time evolution algorithms for Matrix Product States and DMRG
• Approximating Gibbs states of local Hamiltonians efficiently with PEPS
• Chebyshev matrix product state approach for spectral functions
• A Matrix-Product-Operator Approach to the Nonequilibrium Steady State of Driven-Dissipative Quantum Arrays
• Charge and spin transport in strongly correlated one-dimensional quantum systems driven far from equilibrium
• Operator Space Entanglement Entropy in XY Spin Chains
• Solvable quantum nonequilibrium model exhibiting a phase transition and a matrix product representation
• Out of equilibrium dynamics with Matrix Product States
• Reducing the numerical effort of finite-temperature density matrix renormalization group transport calculations
• Matrix product operators and states: NP-hardness and undecidability
• Geometry of Matrix Product States: metric, parallel transport and curvature
• Tensor network techniques for the computation of dynamical observables in 1D quantum spin systems
• Quasiparticle explanation of "weak thermalization" regime under quench in a non-integrable quantum spin chain
• Precise evaluation of thermal response functions by optimized density matrix renormalization group schemes
• Diffusive high-temperature transport in the one-dimensional Hubbard model
• Complexity of thermal states in quantum spin chains
• Spectral functions and time evolution from the Chebyshev recursion
• Extending the range of real time density matrix renormalization group simulations
• Slowest local operators in quantum spin chains
• Finite-temperature magnetization transport of the one-dimensional anisotropic Heisenberg model
• Spectral properties of a spin-incoherent Luttinger Liquid
• Lightcone renormalization and quantum quenches in one-dimensional Hubbard models
• Spin and thermal conductivity of quantum spin ladders
• Matrix product state formulation of frequency-space dynamics at finite temperatures
• Encoding the structure of many-body localization with matrix product operators
• Minimally entangled typical thermal states versus matrix product purifications for the simulation of equilibrium states and time evolution
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• The ITensor Software Library for Tensor Network Calculations
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• Many-body localization: an introduction and selected topics
• A Universal Operator Growth Hypothesis
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• From Bloch Oscillations to Many Body Localization in Clean Interacting Systems
• Review on novel methods for lattice gauge theories
• Tensor Network Algorithms: a Route Map
• Dynamics of entanglement and transport in 1D systems with quenched randomness
• Locality, Quantum Fluctuations, and Scrambling
• Scrambling Dynamics and Out-of-Time Ordered Correlators in Quantum Many-Body Systems: a Tutorial
• Accessing scrambling using matrix product operators
• Hydrodynamics of weak integrability breaking
• Stability of superdiffusion in nearly integrable spin chains
• Dynamics and Transport at the Threshold of Many-Body Localization
• Entanglement spreading in non-equilibrium integrable systems
• Breaking the entanglement barrier: Tensor network simulation of quantum transport
• Finding purifications with minimal entanglement
• Scrambling Transition in a Radiative Random Unitary Circuit
• Entanglement Barriers in Dual-Unitary Circuits
• Entanglement Negativity and Mutual Information after a Quantum Quench: Exact Link from Space-Time Duality
• Constructing Tensor Network Influence Functionals for General Quantum Dynamics
• Periodically refreshed baths to simulate open quantum many-body dynamics
• Characterizing a non-equilibrium phase transition on a quantum computer
• Performance of the time-dependent variational principle for matrix product states in long-time evolution of a pure state
• Entanglement Features of Random Hamiltonian Dynamics
• Anomalous transport from hot quasiparticles in interacting spin chains
• Universal Kardar-Parisi-Zhang dynamics in integrable quantum systems
• Emergent hydrodynamics in non-equilibrium quantum systems
• Generalized hydrodynamics: a perspective
• Temporal Entanglement in Chaotic Quantum Circuits
• Hydrodynamics of nonintegrable systems from a relaxation-time approximation
• Classical simulation of short-time quantum dynamics
• Entanglement-Optimal Trajectories of Many-Body Quantum Markov Processes
• Operator backflow and the classical simulation of quantum transport
• Operator content of entanglement spectra after global quenches in the transverse field Ising chain
• Overcoming the entanglement barrier in quantum many-body dynamics via space-time duality
• Transport and entanglement growth in long-range random Clifford circuits
• Fast scrambling without appealing to holographic duality
• Light cone tensor network and time evolution
• Time-evolution of local information: thermalization dynamics of local observables
• The Speed of Quantum Information Spreading in Chaotic Systems
• Studying dynamics in two-dimensional quantum lattices using tree tensor network states
• Simulating the out-of-equilibrium dynamics of local observables by trading entanglement for mixture
• Efficient Large-Scale Many-Body Quantum Dynamics via Local-Information Time Evolution
• Hydrodynamics in long-range interacting systems with center-of-mass conservation
• On temporal entropy and the complexity of computing the expectation value of local operators after a quench
• Tensor Networks for Lattice Gauge Theories beyond one dimension: a Roadmap
• Mana and thermalization: probing the feasibility of near-Clifford Hamiltonian simulation
• Opening the Black Box Inside Grover's Algorithm
• Two-dimensional coherent spectrum of interacting spinons from matrix-product states
• Comparing numerical methods for hydrodynamics in a one-dimensional lattice spin model
• Locality Bound for Dissipative Quantum Transport
• Entanglement spectrum of mixed states
• Speeding up the spread of quantum information in chaotic systems
• Temperature Dependent Energy Diffusion in Chaotic Spin Chains
• Converting long-range entanglement into mixture: tensor-network approach to local equilibration
• Corrections to diffusion in interacting quantum systems
• Benchmarking a novel efficient numerical method for localized 1D Fermi-Hubbard systems on a quantum simulator
• Effective dissipation rate in a Liouvillian graph picture of high-temperature quantum hydrodynamics
• Optimized trajectory unraveling for classical simulation of noisy quantum dynamics
• Dynamical correlation functions from complex time evolution
• Loschmidt echo, emerging dual unitarity and scaling of generalized temporal entropies after quenches to the critical point
• Simulating quantum dynamics in two-dimensional lattices with tensor network influence functional belief propagation
• Efficient separation of quantum from classical correlations for mixed states with a fixed charge
• Open-system spin transport and operator weight dissipation in spin chains
• Quantum turnstiles for robust measurement of full counting statistics
• Localization crossover and subdiffusive transport in a classical facilitated network model of a disordered, interacting quantum spin chain
• Real-time broadening of bath-induced density profiles from closed-system correlation functions
• Problem-tailored Simulation of Energy Transport on Noisy Quantum Computers
• Spatiotemporal dynamics of classical and quantum density profiles in low-dimensional spin systems
• Spin-1/2 XXZ chain coupled to two Lindblad baths: Constructing nonequilibrium steady states from equilibrium correlation functions
• Emergent Quantum Mechanics at the Boundary of a Local Classical Lattice Model
• Approximation theory for Green's functions via the Lanczos algorithm
• Nanoscale engineering and dynamical stabilization of mesoscopic spin textures
• Transport and integrability-breaking in non-Hermitian many-body quantum systems
• Anomalous Quantum Information Scrambling for ${\mathbb{Z}}_3$ Parafermion Chains
• Emergent random matrix universality in quantum operator dynamics
• Quantum Gauge Networks: A New Kind of Tensor Network
• Thermal Drude weight in an integrable chiral clock model
• Subexponential decay of local correlations from diffusion-limited dephasing
• Construction of Many-Body-Localized Models where all the eigenstates are Matrix-Product-States
• Temperature dependence of energy transport in the ${\mathbb{Z}}_3$ chiral clock model
• Superdiffusive transport in chaotic quantum systems with nodal interactions
• Constructing k-local parent Lindbladians for matrix product density operators
• Robustness of near-thermal dynamics on digital quantum computers
• Learning the non-Markovian features of subsystem dynamics
• Beyond fragmented dopant dynamics in quantum spin lattices: Robust localization and non-Gaussian diffusion
• Diagnosing chaos with projected ensembles of process tensors
• Engineering micromotion in Floquet prethermalization via space-time symmetries
• Locally accurate tensor networks for thermal states and time evolution