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

Karamatskos, E. T.; Stockhofe, J.; Kevrekidis, P. G.; Schmelcher, P.

doi:10.1103/PhysRevA.91.043637

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

Journal Article · Thu Apr 30 00:00:00 EDT 2015 · Physical Review A - Atomic, Molecular, and Optical Physics

DOI:https://doi.org/10.1103/PhysRevA.91.043637· OSTI ID:1233190

Karamatskos, E. T. ^[1]; Stockhofe, J. ^[1]; Kevrekidis, P. G. ^[2]; Schmelcher, P. ^[3]

Univ. Hamburg, Hamburg (Germany)
Univ. of Massachusetts, Amherst, MA (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Univ. Hamburg, Hamburg (Germany); The Hamburg Centre for Ultrafast Imaging, Hamburg (Germany)

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.

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

Sponsoring Organization:: USDOE

Grant/Contract Number:: 885/26-1; NSF-DMS-1312856; FA9550-12-1-0332; AC52-06NA25396

OSTI ID:: 1233190

Alternate ID(s):: OSTI ID: 1181069

Report Number(s):: LA-UR-14-28727; PLRAAN; TRN: US1600427

Journal Information:: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 91, Issue 4; ISSN 1050-2947

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 11 works

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