Work distributions for random sudden quantum quenches
Quantum Physics
2017-05-31 v1 Statistical Mechanics
Abstract
The statistics of work performed on a system by a sudden random quench is investigated. Considering systems with finite dimensional Hilbert spaces we model a sudden random quench by randomly choosing elements from a Gaussian unitary ensemble (GUE) consisting of hermitean matrices with identically, Gaussian distributed matrix elements. A probability density function (pdf) of work in terms of initial and final energy distributions is derived and evaluated for a two-level system. Explicit results are obtained for quenches with a sharply given initial Hamiltonian, while the work pdfs for quenches between Hamiltonians from two independent GUEs can only be determined in explicit form in the limits of zero and infinite temperature.
Cite
@article{arxiv.1702.06979,
title = {Work distributions for random sudden quantum quenches},
author = {Marcin Łobejko and Jerzy Łuczka and Peter Talkner},
journal= {arXiv preprint arXiv:1702.06979},
year = {2017}
}