Transitions from order to disorder in multiple dark and multiple dark-bright soliton atomic clouds

Wang, Wenlong; Kevrekidis, P. G.

doi:10.1103/PhysRevE.91.032905

Title: Transitions from order to disorder in multiple dark and multiple dark-bright soliton atomic clouds

Journal Article · Mon Mar 09 00:00:00 EDT 2015 · Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

DOI:https://doi.org/10.1103/PhysRevE.91.032905· OSTI ID:1233262

Wang, Wenlong ^[1]; Kevrekidis, P. G. ^[2]

Univ. of Massachusetts, Amherst, MA (United States)
Univ. of Massachusetts, Amherst, MA (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

We have performed a systematic study quantifying the variation of solitary wave behavior from that of an ordered cloud resembling a “crystalline” configuration to that of a disordered state that can be characterized as a soliton “gas.” As our illustrative examples, we use both one-component, as well as two-component, one-dimensional atomic gases very close to zero temperature, where in the presence of repulsive interatomic interactions and of a parabolic trap, a cloud of dark (dark-bright) solitons can form in the one- (two-) component system. We corroborate our findings through three distinct types of approaches, namely a Gross-Pitaevskii type of partial differential equation, particle-based ordinary differential equations describing the soliton dynamical system, and Monte Carlo simulations for the particle system. In addition, we define an “empirical” order parameter to characterize the order of the soliton lattices and study how this changes as a function of the strength of the “thermally” (i.e., kinetically) induced perturbations. As may be anticipated by the one-dimensional nature of our system, the transition from order to disorder is gradual without, apparently, a genuine phase transition ensuing in the intermediate regime.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: DMR-1208046; FA950-12-1-0332; IRSES-605096; AC52-06NA25396

OSTI ID:: 1233262

Report Number(s):: LA-UR-14-29477; PLEEE8; TRN: US1600429

Journal Information:: Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, Vol. 91, Issue 3; ISSN 1539-3755

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 13 works

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