Stability and tunneling dynamics of a dark-bright soliton pair in a harmonic trap [electronic resource].

Published:: Washington, D.C. : United States. Dept. of Energy, 2015.
Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy
Physical Description:: Article numbers 043,637 : digital, PDF file
Additional Creators:: Los Alamos National Laboratory, United States. Department of Energy, and United States. Department of Energy. Office of Scientific and Technical Information

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Summary:

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.

Report Numbers:

E 1.99:la--ur-14-28727
la--ur-14-28727

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Note:

Published through SciTech Connect.
04/30/2015.
"la--ur-14-28727"
Physical Review. A 91 4 ISSN 1050-2947; PLRAAN AM
Karamatskos, E.; Stockhofe, J.; Kevrekidis, P.; Schmelcher, P.

Funding Information:

885/26-1
NSF-DMS-1312856
FA9550-12-1-0332
AC52-06NA25396

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