Fluctuations of the heat exchanged between two quantum spin chains

2014/12/31 by Gabriel T. Landi, Dragi Karevski · 1 citation
Engineering · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Condensed matter physics #Physics #Quantum #Quantum many-body systems #Quantum mechanics #Spin (aerodynamics) #Thermal Radiation and Cooling Technologies #Thermodynamics #cond-mat.stat-mech

paper · pdf · doi:10.1103/physreve.93.032122

published as Phys. Rev. E 93, 032122 (2016)

arxiv created 2016/02/02 · openalex publication_date 2016/03/14 · arxiv updated 2016/03/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The statistics of the heat exchanged between two quantum XX spin chains prepared at different temperatures is studied within the assumption of weak coupling. This provides simple formulas for the average heat and its corresponding characteristic function, from which the probability distribution may be computed numerically. These formulas are valid for arbitrary sizes and therefore allow us to analyze the role of the thermodynamic limit in this nonequilibrium setting. It is found that all thermodynamic quantities are extremely sensitive to the quantum phase transition of the XX chain.

Citations

• The Fluctuation Theorem as a Gibbs Property
• Experimental Reconstruction of Work Distribution and Study of Fluctuation Relations in a Closed Quantum System
• Heat Flux and Entropy Produced by Thermal Fluctuations
• Quantum quench from a thermal tensor state: Boundary effects and generalized Gibbs ensemble
• Heat exchange mediated by a quantum system
• Work distribution for the adiabatic compression of a dilute and interacting classical gas
• Work fluctuations in quantum spin chains
• Heat fluctuations in Brownian transducers
• Fluctuation Relation for Heat Engines
• Heat fluctuations and initial ensembles
• A far-from-equilibrium fluctuation–dissipation relation for an Ising–Glauber-like model
• Power and Heat Fluctuation Theorems for Electric Circuits
• Path-ensemble averages in systems driven far from equilibrium
• Equilibrium free energy differences from nonequilibrium measurements: a master equation approach
• Model studies on the quantum Jarzynski relation
• Dynamical Ensembles in Nonequilibrium Statistical Mechanics
• Heat-exchange statistics in driven open quantum systems
• Classical and Quantum Fluctuation Theorems for Heat Exchange

Cited by

• Work-distribution quantumness and irreversibility when crossing a quantum phase transition in finite time