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Title: Stability and tunneling dynamics of a dark-bright soliton pair in a harmonic trap

Abstract

In this study, we consider a binary repulsive Bose-Einstein condensate in a harmonic trap in one spatial dimension and investigate particular solutions consisting of two dark-bright solitons. There are two different stationary solutions characterized by the phase difference in the bright component, in-phase and out-of-phase states. We show that above a critical particle number in the bright component, a symmetry-breaking bifurcation of the pitchfork type occurs that leads to a new asymmetric solution whereas the parental branch, i.e., the out-of-phase state, becomes unstable. These three different states support different small amplitude oscillations, characterized by an almost stationary density of the dark component and a tunneling of the bright component between the two dark solitons. Within a suitable effective double-well picture, these can be understood as the characteristic features of a bosonic Josephson junction (BJJ), and we show within a two-mode approach that all characteristic features of the BJJ phase space are recovered. For larger deviations from the stationary states, the simplifying double-well description breaks down due to the feedback of the bright component onto the dark one, causing the solitons to move. In this regime we observe intricate anharmonic and aperiodic dynamics, exhibiting remnants of the BJJ phase space.

Authors:
 [1];  [1];  [2];  [3]
  1. Univ. Hamburg, Hamburg (Germany)
  2. Univ. of Massachusetts, Amherst, MA (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  3. Univ. Hamburg, Hamburg (Germany); The Hamburg Centre for Ultrafast Imaging, Hamburg (Germany)
Publication Date:
Research Org.:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1233190
Alternate Identifier(s):
OSTI ID: 1181069
Report Number(s):
LA-UR-14-28727
Journal ID: ISSN 1050-2947; PLRAAN; TRN: US1600427
Grant/Contract Number:  
885/26-1; NSF-DMS-1312856; FA9550-12-1-0332; AC52-06NA25396
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review A - Atomic, Molecular, and Optical Physics
Additional Journal Information:
Journal Volume: 91; Journal Issue: 4; Journal ID: ISSN 1050-2947
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; 97 MATHEMATICS AND COMPUTING

Citation Formats

Karamatskos, E. T., Stockhofe, J., Kevrekidis, P. G., and Schmelcher, P. Stability and tunneling dynamics of a dark-bright soliton pair in a harmonic trap. United States: N. p., 2015. Web. doi:10.1103/PhysRevA.91.043637.
Karamatskos, E. T., Stockhofe, J., Kevrekidis, P. G., & Schmelcher, P. Stability and tunneling dynamics of a dark-bright soliton pair in a harmonic trap. United States. https://doi.org/10.1103/PhysRevA.91.043637
Karamatskos, E. T., Stockhofe, J., Kevrekidis, P. G., and Schmelcher, P. Thu . "Stability and tunneling dynamics of a dark-bright soliton pair in a harmonic trap". United States. https://doi.org/10.1103/PhysRevA.91.043637. https://www.osti.gov/servlets/purl/1233190.
@article{osti_1233190,
title = {Stability and tunneling dynamics of a dark-bright soliton pair in a harmonic trap},
author = {Karamatskos, E. T. and Stockhofe, J. and Kevrekidis, P. G. and Schmelcher, P.},
abstractNote = {In this study, we consider a binary repulsive Bose-Einstein condensate in a harmonic trap in one spatial dimension and investigate particular solutions consisting of two dark-bright solitons. There are two different stationary solutions characterized by the phase difference in the bright component, in-phase and out-of-phase states. We show that above a critical particle number in the bright component, a symmetry-breaking bifurcation of the pitchfork type occurs that leads to a new asymmetric solution whereas the parental branch, i.e., the out-of-phase state, becomes unstable. These three different states support different small amplitude oscillations, characterized by an almost stationary density of the dark component and a tunneling of the bright component between the two dark solitons. Within a suitable effective double-well picture, these can be understood as the characteristic features of a bosonic Josephson junction (BJJ), and we show within a two-mode approach that all characteristic features of the BJJ phase space are recovered. For larger deviations from the stationary states, the simplifying double-well description breaks down due to the feedback of the bright component onto the dark one, causing the solitons to move. In this regime we observe intricate anharmonic and aperiodic dynamics, exhibiting remnants of the BJJ phase space.},
doi = {10.1103/PhysRevA.91.043637},
journal = {Physical Review A - Atomic, Molecular, and Optical Physics},
number = 4,
volume = 91,
place = {United States},
year = {Thu Apr 30 00:00:00 EDT 2015},
month = {Thu Apr 30 00:00:00 EDT 2015}
}

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Cited by: 11 works
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Works referencing / citing this record:

Spontaneous generation of dark-bright and dark-antidark solitons upon quenching a particle-imbalanced bosonic mixture
journal, August 2019