{"data":{"abstract":{"value":"
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.
","format":"html"},"articleType":"article","authors":[{"type":"Person","name":"Weronika Golletz","firstname":"Weronika","surname":"Golletz","affiliationIds":["a1","a2","a3"]},{"type":"Person","name":"Wojciech Górecki","firstname":"Wojciech","surname":"Górecki","affiliationIds":["a1","a4"]},{"type":"Person","name":"Rafał Ołdziejewski","firstname":"Rafał","surname":"Ołdziejewski","affiliationIds":["a1","a5","a6"]},{"type":"Person","name":"Krzysztof Pawłowski","firstname":"Krzysztof","surname":"Pawłowski","affiliationIds":["a1"]}],"affiliations":[{"name":"Center for Theoretical Physics, Polish Academy of Sciences, Aleja Lotników 32/46, 02-668 Warsaw, Poland","id":"a1"},{"name":"Instytut Fizyki Teoretycznej, Uniwersytet Jagielloński, ulica Profesora Stanisława Łojasiewicza 11, PL-30-348 Kraków, Poland","id":"a2"},{"name":"Department of Theoretical Physics, Faculty of Fundamental Problems of Technology, Wrocław University of Science and Technology, 50-370 Wrocław, Poland","id":"a3"},{"name":"Faculty of Physics, University of Warsaw, ulica Pasteura 5, 02-093 Warsaw, Poland","id":"a4"},{"name":"Max Planck Institute of Quantum Optics, 85748 Garching, Germany","id":"a5"},{"name":"Munich Center for Quantum Science and Technology, Schellingstrasse 4, 80799 Munich, Germany","id":"a6"}],"date":"2020-09-08","fundings":[{"funderId":"http://dx.doi.org/10.13039/501100004281","funderName":"Narodowe Centrum Nauki","awards":["2016/21/N/ST2/03432","2015/19/B/ST2/02820","2014/13/D/ST2/01883","2018/31/B/ST2/00349"]}],"type":"article","metadata_last_modified_at":"2020-09-08T14:10:24+0000","last_modified_at":"2020-09-08T14:10:24+0000","id":"10.1103/PhysRevResearch.2.033368","identifiers":{"doi":"10.1103/PhysRevResearch.2.033368","arxiv":"arXiv:1905.04604"},"issue":{"number":"3"},"pageStart":"033368","hasArticleId":true,"numPages":13,"classificationSchemes":{"physh":{"concepts":[{"id":"977ff312-56f0-422a-ae7a-f21bcc27b831","facet":{"id":"bdb1ef91-b776-4e36-8f8f-3e93666bac1e"},"primary":true},{"id":"f9069b5c-203a-4184-b8f5-f0cd7f0fcda1","facet":{"id":"bdb1ef91-b776-4e36-8f8f-3e93666bac1e"},"primary":false},{"id":"bd03ea46-2406-4a24-8307-05b2b498fb4e","facet":{"id":"bdb1ef91-b776-4e36-8f8f-3e93666bac1e"},"primary":false}],"disciplines":["6f025065-4b96-4156-b146-2c285d0994c4","8ab3d2b7-b50b-460e-b086-8990cfcbd350"]}},"publisher":{"name":"APS"},"rights":{"rightsStatement":"Published by the American Physical Society","copyrightYear":2020,"copyrightHolders":[],"creativeCommons":true,"licenses":[{"url":"https://creativecommons.org/licenses/by/4.0/","licenseStatement":"Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI."}]},"journal":{"id":"PRRESEARCH","abbreviatedName":"Phys. Rev. Research","name":"Physical Review Research"},"title":{"value":"Dark solitons revealed in Lieb-Liniger eigenstates","format":"html"},"volume":{"number":"2"}}}