Thermalization at Low Temperatures via Weakly-Damped Multi-Site Baths
arXiv:2304.08525 · doi:10.1103/PhysRevB.108.035156
Abstract
We study the thermalization properties of one-dimensional open quantum systems coupled to baths at their boundary. The baths are driven to their thermal states via Lindblad operators, while the system undergoes Hamiltonian dynamics. We specifically consider multi-site baths and investigate the extent to which the late-time steady state resembles a Gibbs state at some controllable temperature set by the baths. We study three models: a non-interacting fermion model accessible via free-fermion technology, and two interacting models, the XZ model and the chiral clock model, which are accessible via tensor network methods. We show that, by tuning towards the weak coupling and slow relaxation limits, one can engineer low temperatures in the bulk of the system provided the bath size is big enough. We use this capability to study energy transport in the XZ model at lower temperatures than previously reported. Our work paves the way for future studies of interacting open quantum systems at low temperatures.
arXiv comment13 pages, 6 figures; updated the text around Eqs. (12-13) and added more details in Sec. III.C
References in corpus (88)
- The density-matrix renormalization group in the age of matrix product states
- Efficient classical simulation of slightly entangled quantum computations
- A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States
- Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
- Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
- Efficient simulation of one-dimensional quantum many-body systems
- Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
- Matrix Product Density Operators: Simulation of finite-T and dissipative systems
- Quantum trajectories and open many-body quantum systems
- Matrix Product States and Projected Entangled Pair States: Concepts, Symmetries, and Theorems
- Time-evolution methods for matrix-product states
- Mixed-state dynamics in one-dimensional quantum lattice systems: a time-dependent superoperator renormalization algorithm
- Open XXZ spin chain: Nonequilibrium steady state and strict bound on ballistic transport
- Third quantization: a general method to solve master equations for quadratic open Fermi systems
- Bekenstein-Hawking Entropy and Strange Metals
- Thermoelectric transport in disordered metals without quasiparticles: the SYK models and holography
- Finite-temperature transport in one-dimensional quantum lattice models
- Hand-waving and Interpretive Dance: An Introductory Course on Tensor Networks
- Dynamical Phase Transitions and Instabilities in Open Atomic Many-Body Systems
- Spin transport in a one-dimensional anisotropic Heisenberg model
- Parafermionic edge zero modes in Z_n-invariant spin chains
- Exact nonequilibrium steady state of a strongly driven open XXZ chain
- On the Local and Global Approaches to Quantum Transport and Violation of the Second-law of Thermodynamics
- Neural-Network Approach to Dissipative Quantum Many-Body Dynamics
- Markovian Master Equations: A Critical Study
- Algebraic versus exponential decoherence in dissipative many-particle systems
- Non-Fermi liquid regime of a doped Mott insulator
- Quantum Fluctuations of a Nearly Critical Heisenberg Spin Glass
- Matrix product simulations of non-equilibrium steady states of quantum spin chains
- Simulation methods for open quantum many-body systems
- Variational Quantum Monte Carlo Method with a Neural-Network Ansatz for Open Quantum Systems
- Variational neural network ansatz for steady states in open quantum systems
- Modeling heat transport through completely positive maps
- Numerical study of fermion and boson models with infinite-range random interactions
- Variational Matrix Product Operators for the Steady State of Dissipative Quantum Systems
- Relaxation times of dissipative many-body quantum systems
- Variational principle for steady states of dissipative quantum many-body systems
- Constructing neural stationary states for open quantum many-body systems
- A positive tensor network approach for simulating open quantum many-body systems
- Notes on the complex Sachdev-Ye-Kitaev model
- Spin dynamics and transport in gapped one-dimensional Heisenberg antiferromagnets at nonzero temperatures
- Mean-Field Theory of a Quantum Heisenberg Spin Glass
- Exact matrix product solution for the boundary-driven Lindblad -chain
- Spectral theorem for the Lindblad equation for quadratic open fermionic systems
- Dualities and the phase diagram of the -clock model
- Locality of temperature
- A Matrix-Product-Operator Approach to the Nonequilibrium Steady State of Driven-Dissipative Quantum Arrays
- Out of equilibrium open quantum systems: a comparison of approximate Quantum Master Equation approaches with exact results
- Influence of dephasing on many-body localization
- Numerical study of the chiral quantum phase transition in one spatial dimension
- Exact Nonequilibrium Steady State of an Open Hubbard Chain
- Existence of temperature on the nanoscale
- Fundamental limitations in Lindblad descriptions of systems weakly coupled to baths
- Quantum field theory for the chiral clock transition in one spatial dimension
- Universal relaxational dynamics of gapped one dimensional models in the quantum sine-Gordon universality class
- Heat transport in the spin chain: from ballistic to diffusive regimes and dephasing enhancement
- Diffusive high-temperature transport in the one-dimensional Hubbard model
- Thermalization and ergodicity in many-body open quantum systems
- Phase diagram of the Parafermionic Chain with Chiral Interactions
- Tensor-network method to simulate strongly interacting quantum thermal machines
- Product Spectrum Ansatz and the Simplicity of Thermal States
- Breaking the entanglement barrier: Tensor network simulation of quantum transport
- Coexistence of diffusive and ballistic transport in a simple spin ladder
- Exact matrix product solutions in the Heisenberg picture of an open quantum spin chain
- Minimal length scales for the existence of local temperature
- A note on the SYK model with complex fermions
- Transport in a one-dimensional isotropic Heisenberg model at high temperature
- Exact nonequilibrium steady state of open XXZ/XYZ spin-1/2 chain with Dirichlet boundary conditions
- Emergent hydrodynamics in non-equilibrium quantum systems
- Asymmetry in energy versus spin transport in certain interacting, disordered systems
- Excitation spectra of quantum matter without quasiparticles I: Sachdev-Ye-Kitaev models
- Many-body open quantum systems beyond Lindblad master equations
- Thermalization in Open Quantum Systems
- Coexistence of energy diffusion and local thermalization in nonequilibrium XXZ spin chains with integrability breaking
- Open System Tensor Networks and Kramers' Crossover for Quantum Transport
- Obtaining pure steady states in nonequilibrium quantum systems with strong dissipative couplings
- Infinitely dimensional Lax structure for one-dimensional Hubbard model
- Magnetization transport in spin ladders and next-nearest-neighbor chains
- Measurable Consequences of the Local Breakdown of the Concept of Temperature
- Local temperature in quantum thermal states
- Quantum thermodynamics with fast driving and strong coupling via the mesoscopic leads approach
- Intensive temperature and quantum correlations for refined quantum measurements
- Searching for Lindbladians obeying local conservation laws and showing thermalization
- Excitation spectra of quantum matter without quasiparticles II: random - models
- Finite coupling effects in double quantum dots near equilibrium
- Thermalization with detailed-balanced two-site Lindblad dissipators
- Temperature Dependent Energy Diffusion in Chaotic Spin Chains
- Entanglement entropy and massless phase in the antiferromagnetic three-state quantum chiral clock model