Out-of-equilibrium dynamical properties of Bose-Einstein condensates in a ramped up weak disorder
Rodrigo P. A. Lima, Milan Radonjić, Axel Pelster
SciPost Phys. 20, 010 (2026) · published 16 January 2026
- doi: 10.21468/SciPostPhys.20.1.010
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Abstract
We theoretically study how the superfluid and condensate deformation of a weakly interacting ultracold Bose gas evolve during the ramp-up of an external weak disorder potential. Both resulting deformations turn out to consist of two distinct contributions, namely a reversible equilibrium one, already predicted by Huang and Meng in 1992, and a nonequilibrium dynamical one, whose magnitude depends on the details of the ramping protocol. For the specific case of the exponential ramp-up protocol, we are able to derive analytical time-dependent expressions for the above quantities. After a sufficiently long time, a steady state emerges that is generically out of equilibrium. We take the first step in investigating its properties by studying its relaxation dynamics. In addition, we analyze the two-time correlation function and elucidate its relation to the equilibrium and the dynamical part of the condensate deformation.
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 2 Rodrigo P. A. Lima,
- 3 4 Milan Radonjić,
- 5 Axel Pelster
- 1 Universidade Federal de Alagoas / Federal University of Alagoas [UFAL]
- 2 Universidad de Castilla-La Mancha / University of Castilla-La Mancha [UCLM]
- 3 Universität Hamburg / University of Hamburg [UH]
- 4 Институт за физику у Београду / Institute of Physics Belgrade
- 5 Rheinland-Pfälzische Technische Universität Kaiserslautern-Landau / Rheinland-Pfälzische Technische Universität Kaiserslautern-Landau [RPTU]
- Conselho Nacional de Desenvolvimento Científico e Tecnológico / National Council for Scientific and Technological Development [CNPq]
- Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (through Organization: Coordenação de Aperfeicoamento de Pessoal de Nível Superior [CAPES])
- Deutsche Forschungsgemeinschaft / German Research FoundationDeutsche Forschungsgemeinschaft [DFG]
- Ministerio de Ciencia, Innovación y Universidades / Ministry of Science, Innovation and Universities
