2026-04-14T16:01:25Zhttps://uvadoc.uva.es/oai/requestoai:uvadoc.uva.es:10324/410082021-06-24T07:22:59Zcom_10324_22154com_10324_954com_10324_894col_10324_22155
UVaDOC
author
Bencheikh, Kamel
author
Nieto Calzada, Luis Miguel
2020-06-08T18:54:07Z
2020-06-08T18:54:07Z
2020
Physics Letters A 384 (2020) 126599
0375-9601
http://uvadoc.uva.es/handle/10324/41008
10.1016/j.physleta.2020.126599
126599
25
Physics Letters A
384
We study time evolution of Wigner function of an initially interacting one-dimensional quantum gas following the switch-off of the interactions. For the scenario where at t=0the interactions are suddenly suppressed, we derive a relationship between the dynamical Wigner function and its initial value. A two-particle system initially interacting through two different interactions of Dirac delta type is examined. For a system of particles that is suddenly let to move ballistically (without interactions) in a harmonic trap in d dimensions, and using time evolution of one-body density matrix, we derive a relationship between the time dependent Wigner function and its initial value. Using the inverse Wigner transform we obtain, for an initially harmonically trapped noninteracting particles in ddimensions, the scaling law satisfied by the density matrix at time tafter a sudden change of the trapping frequency. Finally, the effects of interactions are analyzed in the dynamical Wigner function.
eng
CC0 1.0 Universal
Exact results for nonequilibrium dynamics in Wigner phase space
info:eu-repo/semantics/article
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b3IgaW5jdW1wbGltaWVudG8gZGUgY3VhbHF1aWVyYSBkZSBsYXMgb2JsaWdhY2lvbmVzIGRlcml2YWRhcyBkZWwgQWN1ZXJkbywgcG9yIHZvbHVudGFkIGV4cHJlc2EgZGVsIEF1dG9yCkVuICBwcnVlYmEgZGUgY29uZm9ybWlkYWQsIGxhcyBwYXJ0ZXMgYWNlcHRhbiBlbCBwcmVzZW50ZSBBY3VlcmRvCgoKCgo=
URL
https://uvadoc.uva.es/bitstream/10324/41008/1/Bencheikh_Nieto_May4_2020.pdf
File
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1214944
application/pdf
Bencheikh_Nieto_May4_2020.pdf