Group-theoretical approach to the calculation of quantum work distribution

Abstract

Usually the calculation of work distributions in an arbitrary nonequilibrium process in a quantum system, especially in a quantum many-body system is extremely cumbersome. For all quantum systems described by quadratic Hamiltonians, we invent a universal method for solving the work distribution of quantum systems in an arbitrary driving process by utilizing the group-representation theory. This method enables us to efficiently calculate work distributions where previous methods fail. In some specific models, such as the time-dependent harmonic oscillator, the dynamical Casimir effect, and the transverse XY model, the exact and analytical solutions of work distributions in an arbitrary nonequilibrium process are obtained. Our work initiates the study of quantum stochastic thermodynamics based on group-representation theory.

References in corpus (10)

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• A note on the Full Counting Statistics of paired fermions
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Cited by in corpus (6)

• Work statistics, quantum signatures and enhanced work extraction in quadratic fermionic models
• Exploring quasiprobability approach to quantum work in the presence of initial coherence: Advantages of the Margenau-Hill distribution
• Quasiprobability distribution of work in the quantum Ising model
• Symmetry shapes thermodynamics of macroscopic quantum systems
• Work Statistics and Adiabatic Assumption in Nonequilibrium Many-Body Theory
• Superdiffusive quantum work and adiabatic quantum evolution in finite temperature chaotic Fermi systems