Typical pure nonequilibrium steady states and irreversibility for quantum transports
arXiv:1603.01084 · doi:10.1103/PhysRevE.94.012146
Abstract
It is known that each single typical pure state in an energy shell of a large isolated quantum system well represents a thermal equilibrium state of the system. We show that such typicality holds also for nonequilibrium steady states (NESS's). We consider a small quantum system coupled to multiple infinite reservoirs. In the long run, the total system reaches a unique NESS. We identify a large Hilbert space from which pure states of the system are to be sampled randomly and show that the typical pure states well describe the NESS. We also point out that the irreversible relaxation to the unique NESS is important to the typicality of the pure NESS's.
11 pages, 2 pages
References in corpus (14)
- Thermalization and its mechanism for generic isolated quantum systems
- Experimental Observation of a Generalized Gibbs Ensemble
- Foundation of Statistical Mechanics under experimentally realistic conditions
- Typicality for Generalized Microcanonical Ensembles
- Proof of the Ergodic Theorem and the H-Theorem in Quantum Mechanics
- Generalization of von Neumann's Approach to Thermalization
- Thermal equilibrium of a macroscopic quantum system in a pure state
- Necessity of Eigenstate Thermalization
- Entanglement prethermalization: Locally thermal but non-locally non-thermal states in a one-dimensional Bose gas
- Typicality of pure states randomly sampled according to the Gaussian adjusted projected measure
- On the Assumption of Initial Factorization in the Master Equation for Weakly Coupled Systems II: Solvable Models
- General relaxation time of the fidelity for isolated quantum thermodynamic systems
- Nonequilibrium Steady States and Fano-Kondo Resonances in an AB Ring with a Quantum Dot
- Typical Pure Nonequilibrium Steady States