Loschmidt echo in one-dimensional interacting Bose gases

Scientific paper - Original scientific paper

• Author: Karlo Lelas
• Author: Tomislav Ševa
• Author: Hrvoje Buljan
• Author's institution: University of Zagreb; Faculty of Science; (Department of Physics)
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Physics

Abstract (english)

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.

• Keywords (english): Loschmidt echo; irreversibility; nonequilibrium dynamics
• Language: english
• Publication type: Scientific paper - Original scientific paper
• Publication status: Published
• Peer review: Peer review - international
• Publication version: Published version
• Journal title: Physical Review A
• Numbering: vol. 84, no. 6, 063601
• p-ISSN: 1050-2947
• DOI: https://doi.org/10.1103/PhysRevA.84.063601
• URN:NBN: urn:nbn:hr:217:877943
• Publication: 2011
• Project: Number: 119-0000000-1015; Title (croatian): Nelinearne pojave i valna dinamika u fotoničkim sustavima; Leader: Hrvoje Buljan; Jurisdiction: Croatia; Funding stream: ZP
• Document URL: http://link.aps.org/doi/10.1103/PhysRevA.84.063601
• Type of resource: Text
• Access conditions: Open access
• Public note: Copyright (2011) by the American Physical Society. Received 12 April 2011; published 2 December 2011.
• Created on: 2019-11-15 18:14:37