Understanding quantum work in a quantum many-body system
arXiv:1612.05692 · doi:10.1103/PhysRevE.95.032113
Abstract
Based on previous studies in a single particle system in both the integrable [Jarzynski, Quan, and Rahav, Phys.~Rev.~X {\bf 5}, 031038 (2015)] and the chaotic systems [Zhu, Gong, Wu, and Quan, Phys.~Rev.~E {\bf 93}, 062108 (2016)], we study the the correspondence principle between quantum and classical work distributions in a quantum many-body system. Even though the interaction and the indistinguishability of identical particles increase the complexity of the system, we find that for a quantum many-body system the cumulative quantum work distribution still converges to its classical counterpart in the semiclassical limit. Our results imply that there exists a correspondence principle between quantum and classical work distributions in an interacting quantum many-body system, especially in the large particle number limit, and further justify the definition of quantum work via two point energy measurements in quantum many-body systems.
10 pages, 11 figures, Published in Phys. Rev. E
References in corpus (16)
- Fluctuation theorems: Work is not an observable
- Mean-field dynamics of a Bose-Einstein condensate in a time-dependent triple-well trap: Nonlinear eigenstates, Landau-Zener models and STIRAP
- Non-equilibrium Gross-Pitaevskii dynamics of boson lattice models
- Beyond mean-field dynamics of small Bose-Hubbard systems based on the number-conserving phase space approach
- Semiclassical approach to Bose-Einstein condensates in a triple well potential
- Evolution of the macroscopically entangled states in optical lattices
- Semiclassical quantization of an N-particle Bose-Hubbard model
- Complexity in parametric Bose-Hubbard Hamiltonians and structural analysis of eigenstates
- Wavepacket dynamics in energy space of a chaotic trimeric Bose-Hubbard system
- Semiclassical quantization of the Bogoliubov spectrum
- Semiclassical analysis of Bose-Hubbard dynamics
- Interference of Identical Particles and the Quantum Work Distribution
- Heat fluctuations and initial ensembles
- Persistent current of atoms in a ring optical lattice
- Time-dependent Semiclassics for Ultracold Bosons
- Nonlinearity from quantum mechanics: Dynamically unstable Bose-Einstein condensate in a double-well trap