{"data":{"abstract":{"value":"
We directly compare the mean-field and the many-body approaches, in a one-dimensional Bose system in a harmonic trap. Both contact and dipolar interactions are considered. We obtain eigenstates of the many-body system by exact diagonalization with a truncated basis. We propose a multiatom version of the phase-imprinting method to generate dark solitons in the system. We begin with a general analysis of system dynamics and observe the emergence of a dark soliton and a shock wave in the form of sloshing motion of the condensate upon phase imprinting. The center of mass and soliton go out of phase because the soliton does not oscillate with the trap frequency. A detailed investigation of frequencies reveals significant differences in the results obtained in the mean-field versus the many-body picture.
","format":"html"},"articleType":"article","authors":[{"type":"Person","name":"Michał Kowalski","firstname":"Michał","surname":"Kowalski","affiliationIds":["a1","a2"]},{"type":"Person","name":"Rafał Ołdziejewski","firstname":"Rafał","surname":"Ołdziejewski","affiliationIds":["a1"]},{"type":"Person","name":"Kazimierz Rzążewski","firstname":"Kazimierz","surname":"Rzążewski","affiliationIds":["a1"]}],"affiliations":[{"name":"Center for Theoretical Physics, Polish Academy of Sciences, Al. Lotników 32/46, 02-668 Warsaw, Poland","id":"a1"},{"name":"Faculty of Technical Physics, Poznan University of Technology, Piotrowo 3, 60-965 Poznan, Poland","id":"a2"}],"notes":[{"format":"html","value":"michal.ry.kowalski@student.put.poznan.pl
","label":"*","id":"n1","type":"contrib"}],"date":"2020-06-23","fundings":[{"funderId":"http://dx.doi.org/10.13039/501100004281","funderName":"Narodowe Centrum Nauki","awards":["2016/21/N/ST2/03432","2015/19/B/ST2/02820"]}],"type":"article","metadata_last_modified_at":"2020-06-23T13:50:43+0000","last_modified_at":"2020-06-23T13:50:43+0000","id":"10.1103/PhysRevResearch.2.023386","identifiers":{"doi":"10.1103/PhysRevResearch.2.023386","arxiv":"arXiv:1911.09523"},"issue":{"number":"2"},"pageStart":"023386","hasArticleId":true,"numPages":6,"classificationSchemes":{"physh":{"concepts":[{"id":"2d89a076-7a54-4494-973a-ea562f654b8e","facet":{"id":"b96dac97-ab85-4320-892d-9b245caf097f"},"primary":false},{"id":"05a47dcc-71c0-4ebc-9d4e-79a40a191efb","facet":{"id":"233a6cd0-b7fe-491b-b5fd-85fd6b2a7c79"},"primary":true},{"id":"977ff312-56f0-422a-ae7a-f21bcc27b831","facet":{"id":"f45b3c40-959c-4e90-ba0e-38232980802a"},"primary":false},{"id":"130b51f2-d186-4d8c-bfd2-24111492cf79","facet":{"id":"bdb1ef91-b776-4e36-8f8f-3e93666bac1e"},"primary":false}],"disciplines":["a48f173e-6459-4642-a711-a6e731807625","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":"Breakdown of the mean field for dark solitons of dipolar bosons in a one-dimensional harmonic trap","format":"html"},"volume":{"number":"2"}}}