Dark solitons revealed in Lieb-Liniger eigenstates

Weronika Golletz, Wojciech Górecki, Rafał Ołdziejewski, Krzysztof Pawłowski

Research output: Contribution to journalArticlepeer-review

Abstract

We study how dark solitons, i.e., solutions of one-dimensional, single-particle, nonlinear, time-dependent Schrödinger 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.

Original languageEnglish (US)
Article number033368
JournalPhysical Review Research
Volume2
Issue number3
DOIs
StatePublished - Sep 2020

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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