Loschmidt echo in one-dimensional interacting Bose gases

Lelas, Karlo and Ševa, Tomislav and Buljan, Hrvoje (2011) Loschmidt echo in one-dimensional interacting Bose gases. Physical Review A, 84 (6). pp. 63601-9. ISSN 1050-2947

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Abstract

We explore Loschmidt echo in two regimes of one- dimensional interacting Bose gases: the strongly interacting Tonks-Girardeau (TG) regime, and the weakly interacting mean-field regime. We find that the Loschmidt echo of a TG gas decays as a Gaussian when small (random and time independent) perturbations are added to the Hamiltonian. The exponent is proportional to the number of particles and the magnitude of a small perturbation squared. In the mean-field regime the Loschmidt echo shows richer behavior: it decays faster for larger nonlinearity, and the decay becomes more abrupt as the nonlinearity increases ; it can be very sensitive to the particular realization of the noise potential, especially for relatively small nonlinearities.

Item Type: Article
Keywords: Loschmidt echo, irreversibility, nonequilibrium dynamics
Date: December 2011
Subjects: NATURAL SCIENCES > Physics
Additional Information: Copyright (2011) by the American Physical Society.
Divisions: Faculty of Science > Department of Physics
Project code: 119-0000000-1015
Publisher: American Physical Society
Depositing User: Gordana Stubičan Ladešić
Date Deposited: 01 Jun 2014 07:28
Last Modified: 23 Feb 2016 17:13
URI: http://digre.pmf.unizg.hr/id/eprint/2053

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