Excitation energy after a smooth quench in a Luttinger liquid
Superconductivity
2013-05-29 v2 Quantum Gases
Statistical Mechanics
Quantum Physics
Abstract
Low energy physics of quasi-one-dimensional ultracold atomic gases is often described by a gapless Luttinger liquid (LL). It is nowadays routine to manipulate these systems by changing their parameters in time but, no matter how slow the manipulation is, it must excite a gapless system. We study a smooth change of parameters of the LL (a smooth "quench") with a variable quench time and find that the excitation energy decays with an inverse power of the quench time. This universal exponent is -2 at zero temperature, and -1 for slow enough quenches at finite temperature. The smooth quench does not excite beyond the range of validity of the low energy LL description.
Keywords
Cite
@article{arxiv.1109.3801,
title = {Excitation energy after a smooth quench in a Luttinger liquid},
author = {Jacek Dziarmaga and Marek Tylutki},
journal= {arXiv preprint arXiv:1109.3801},
year = {2013}
}
Comments
5 pages, 2 figures; minor changes, version published in Phys. Rev. B