Typicality of nonequilibrium (quasi-)steady currents

Abstract

The understanding of the emergence of equilibrium statistical mechanics has progressed significantly thanks to developments from typicality, canonical and dynamical, and from the eigenstate thermalization hypothesis. Here we focus on a nonequilibrium scenario in which two nonintegrable systems prepared in different states are locally and non-extensively coupled to each other. Using both perturbative analysis and numerical exact simulations of up to 28 spin systems, we demonstrate the typical emergence of nonequilibrium (quasi-)steady current for weak coupling between the subsystems. We also identify that these currents originate from a prethermalization mechanism, which is the weak and local breaking of the conservation of the energy for each subsystem.

5 pages, 3 figures, with supplementary materials

References in corpus (18)

• Thermalization and its mechanism for generic isolated quantum systems
• The distribution of the ratio of consecutive level spacings in random matrix ensembles
• Interaction Quench in the Hubbard model
• Typicality for Generalized Microcanonical Ensembles
• Kardar-Parisi-Zhang physics in the quantum Heisenberg magnet
• Anomalous thermalization in ergodic systems
• Numerical Linked-Cluster Approach to Quantum Lattice Models
• Eigenstate thermalization and quantum chaos in the Holstein polaron model
• Approach to steady state transport in nanoscale conductors
• Spin and energy currents in integrable and nonintegrable spin-1/2 chains: A typicality approach to real-time autocorrelations
• Thermal equilibration between two quantum systems
• Eigenstate thermalization hypothesis through the lens of autocorrelation functions
• Eigenstate thermalization for observables that break Hamiltonian symmetries and its counterpart in interacting integrable systems
• Typicality of Prethermalization
• Single-particle eigenstate thermalization in quantum-chaotic quadratic Hamiltonians
• Prethermalization, thermalization, and Fermi's golden rule in quantum many-body systems
• Typical relaxation of perturbed quantum many-body systems
• Typical Pure Nonequilibrium Steady States

Cited by in corpus (14)

• Classicality, Markovianity and local detailed balance from pure state dynamics
• Interactions and integrability in weakly monitored Hamiltonian systems
• Hydrodynamics and the eigenstate thermalization hypothesis
• Emergence of steady currents due to strong prethermalization
• Emergence of steady quantum transport in a superconducting processor
• Quantum and classical contributions to entropy production in fermionic and bosonic Gaussian systems
• Simulating quantum transport via collisional models on a digital quantum computer
• Quantum master equation from the eigenstate thermalization hypothesis
• Comparative Microscopic Study of Entropies and their Production
• Supervised Training of Neural-Network Quantum States for the Next Nearest Neighbor Ising model
• Open-system eigenstate thermalization in a noninteracting integrable model
• Non-equilibrium boundary driven quantum systems: models, methods and properties
• Typical Positivity of Nonequilibrium Entropy Production for Pure States
• Entanglement transition in unitary system-bath dynamics