The role of quantum work statistics in many-body physics
arXiv:1804.02805 · doi:10.1007/978-3-319-99046-0_13
Abstract
In this contribution, we aim to illustrate how quantum work statistics can be used as a tool in order to gain insight on the universal features of non-equilibrium many-body systems. Focusing on the two point measurement approach to work, we first outline the formalism and show how the related irreversible entropy production may be defined for a unitary process. We then explore the physics of sudden quenches from the point of view of work statistics and show how the characteristic function of work can be expressed as the partition function of a corresponding classical statistical physics problem in a film geometry. Connections to the concept of fidelity susceptibility are explored along with the corresponding universal critical scaling. We also review how large deviation theory applied to quantum work statistics gives further insight to universal properties. The quantum-to- classical mapping turns out to have close connections with the historical problem of orthogonality catastrophe: we therefore discuss how this relationship may be exploited in order to experimentally extract quantum work statistics in many-body systems.
As a chapter of: F. Binder, L. A. Correa, C. Gogolin, J. Anders, and G. Adesso (eds.), "Thermodynamics in the quantum regime - Recent Progress and Outlook", (Springer International Publishing)
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Cited by in corpus (8)
- Work Statistics, Loschmidt Echo and Information Scrambling in Chaotic Quantum Systems
- Roadmap on Quantum Thermodynamics
- Non-equilibrium aspects of integrable models
- Work statistics for sudden quenches in interacting quantum many-body systems
- Entropy of the quantum work distribution
- Decomposable coherence and quantum fluctuation relations
- Quantum work statistics across a critical point: full crossover from sudden quench to the adiabatic limit
- Efficiently simulating the work distribution of multiple identical bosons with boson sampling