Quantum states from mixtures of equilibrium distributions
arXiv:2203.04545 · doi:10.1088/1742-5468/ac6252
Abstract
We construct and explore a family of states for quantum systems in contact with two or more heath reservoirs. The reservoirs are described by equilibrium distributions. The interaction of each reservoir with the bulk of the system is encoded in a probability, which characterises the particle exchange among them and depends in general on the particle momentum. The convex combination of the reservoir distributions, weighted with the aforementioned probabilities, defines a new distribution. We establish the existence of an emission-absorption regime in which the new distribution generates a non-equilibrium quantum state. We develop a systematic field theory framework for constructing this state and illustrate its physical properties on a simple model. In this context we derive the particle current full counting statistics, the heat current and the Lorenz number. The entropy production and the relative quantum fluctuations are also determined.
arXiv comment1+28 pages, 4 figures
References in corpus (35)
- Many-Body Physics with Ultracold Gases
- Shot Noise in Mesoscopic Conductors
- One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
- Electron Counting Statistics and Coherent States of Electric Current
- Anyons and the quantum Hall effect - a pedagogical review
- Quantized Thermal Transport in the Fractional Quantum Hall Effect
- A thermoelectric heat engine with ultracold atoms
- Junctions of three quantum wires and the dissipative Hofstadter model
- Non-equilibrium steady-states in conformal field theory
- Wiedemann-Franz law and Fermi liquids
- Coherent and dissipative dynamics at quantum phase transitions
- Introduction to Nonequilibrium Statistical Mechanics with Quantum Field
- Landauer-type transport theory for interacting quantum wires: Application to carbon nanotube Y junctions
- Electronic hydrodynamics and the breakdown of the Wiedemann-Franz and Mott laws in interacting metals
- Junctions of anyonic Luttinger wires
- Large violation of Wiedemann Franz law in Luttinger liquids
- Topological Superconductor-Luttinger Liquid Junctions
- Quantum state tomography with quantum shotnoise
- Strongly correlated Bose gases
- Luttinger Liquid in Non-equilibrium Steady State
- Non-equilibrium Steady States of Quantum Systems on Star Graphs
- Natural nonequilibrium states in quantum statistical mechanics
- Quantum Field Theory, Bosonization and Duality on the Half Line
- Quantum wire junctions breaking time reversal invariance
- Nonequilibrium relaxation transport of ultracold atoms
- Multi-particle scattering and breakdown of the Wiedemann-Franz law at a junction of N interacting quantum wires
- Quantum and Classical Binomial Distributions for the Charge Transmitted through Coherent Conductor
- Relaxation Dynamics of Meso-Reservoirs
- Non-interacting many-particle quantum transport between finite reservoirs
- Non-Equilibrium Thermodynamics and Conformal Field Theory
- Energy transmutation in nonequilibrium quantum systems
- Non-equilibrium current cumulants and moments with a point-like defect
- Quantum Fluctuations of Entropy Production for Fermionic Systems in Landauer-Buttiker State
- Microscopic Features of Bosonic Quantum Transport and Entropy Production
- Anyon Quantum Transport and Noise away from Equilibrium