Journal
PHYSICAL REVIEW RESEARCH
Volume 2, Issue 3, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevResearch.2.033368
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Funding
- (Polish) National Science Center [2016/21/N/ST2/03432, 2015/19/B/ST2/02820, 2014/13/D/ST2/01883, 2018/31/B/ST2/00349]
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We study how dark solitons, i.e., solutions of one-dimensional, single-particle, nonlinear, time-dependent Schrodinger equation, emerge from eigenstates of a linear many-body model of contact-interacting bosons moving on a ring, the Lieb-Liniger model. This long-standing problem has been addressed by various groups, which presented different, seemingly unrelated, procedures to reveal the solitonic waves directly from the many-body model. Here, we propose a unification of these results using a simple ansatz for the many-body eigenstate of the Lieb-Liniger model, which gives us access to systems of hundreds of atoms. In this approach, mean-field solitons emerge in a single-particle density through repeated measurements of particle positions in the ansatz state. The postmeasurement state turns out to be a wave packet of yrast states of the reduced system.
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