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Condensed Matter > Statistical Mechanics

Title: Dynamical fermionization in one-dimensional spinor gases at finite temperature

Abstract: Following the removal of axial confinement, the momentum distribution of a Tonks-Girardeau gas approaches that of a system of noninteracting spinless fermions in the initial harmonic trap. This phenomenon, called dynamical fermionization, has been experimentally confirmed in the case of the Lieb-Liniger model and theoretically predicted in the case of multicomponent systems at zero temperature. We prove analytically that for all spinor gases with strong repulsive contact interactions at finite temperature the momentum distribution after release from the trap asymptotically approaches that of a system of spinless fermions at the same temperature but with a renormalized chemical potential which depends on the number of components of the spinor system. In the case of the Gaudin-Yang model we check numerically our analytical predictions using the results obtained from a nonequilibrium generalization of Lenard's formula describing the time evolution of the field-field correlators.
Comments: 6+9 pages, 1 figure, RevTeX 4.2
Subjects: Statistical Mechanics (cond-mat.stat-mech); Quantum Gases (cond-mat.quant-gas)
Journal reference: Phys. Rev. Lett. 130, 163201 (2023)
DOI: 10.1103/PhysRevLett.130.163201
Cite as: arXiv:2211.01975 [cond-mat.stat-mech]
  (or arXiv:2211.01975v3 [cond-mat.stat-mech] for this version)

Submission history

From: Ovidiu Patu [view email]
[v1] Thu, 3 Nov 2022 16:49:03 GMT (326kb,D)
[v2] Fri, 21 Apr 2023 17:10:58 GMT (360kb,D)
[v3] Fri, 23 Jun 2023 11:58:07 GMT (360kb,D)

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