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- W2980456639 abstract "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 $t=0$ the 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 $d$ dimensions, the scaling law satisfied by the density matrix at time $t$ after a sudden change of the trapping frequency. Finally, the effects of interactions are analyzed in the dynamical Wigner function." @default.
- W2980456639 created "2019-10-25" @default.
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- W2980456639 date "2020-09-01" @default.
- W2980456639 modified "2023-09-25" @default.
- W2980456639 title "Exact results for nonequilibrium dynamics in Wigner phase space" @default.
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- W2980456639 doi "https://doi.org/10.1016/j.physleta.2020.126599" @default.
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