Fluctuations of the heat exchanged between two quantum spin chains

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 distribu- tion 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 non-equilibrium setting. It is found that all thermodynamic quantities are extremely sensitive to the quantum phase transition of the XX chain.

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Cited by in corpus (10)

• Thermodynamic uncertainty relations from exchange fluctuation theorems
• Experimental study of the thermodynamic uncertainty relation
• Experimental verification of quantum heat exchange fluctuation relation
• Thermodynamic uncertainty relation for energy transport in transient regime -- Model study
• Work-distribution quantumness and irreversibility when crossing a quantum phase transition in finite time
• Fluctuation relation for heat exchange in Markovian open quantum systems
• Full counting statistics of the currents through a Kitaev chain and the exchange fluctuation theorem
• Nano-welding of quantum spin-$1/2$ chains at minimal dissipation
• Some speculations about local thermalization of nonequilibrium extended quantum systems
• Edge States Effects in Quantum Work Statistics