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.

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• 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
• Joint measurability in nonequilibrium quantum thermodynamics
• Nonequilibrium Green's function's approach to the calculation of work statistics
• Exact thermal properties of free-fermionic spin chains
• Work statistics across a quantum critical surface
• Path integral approach to the calculation of the characteristic function of work
• Universal scaling of work statistics for quantum quenches
• Symmetry shapes thermodynamics of macroscopic quantum systems
• Theory of Quantum Work in Metallic Grains
• Uhlmann Fidelity and Fidelity Susceptibility for Integrable Spin Chains at Finite Temperature: Exact Results
• Classical Theory of Quantum Work Distribution in Chaotic Fermion Systems
• Superdiffusive quantum work and adiabatic quantum evolution in finite temperature chaotic Fermi systems
• Work Statistics and Adiabatic Assumption in Nonequilibrium Many-Body Theory