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arXiv · 2206.13015

Tailoring Dynamical Fermionization: Delta kick cooling of a Tonks-Girardeau gas

Léonce Dupays·Jing Yang·Adolfo del Campo
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Abstract

In one spatial dimension, quantum exchange statistics and interactions are inextricably intertwined. As a manifestation, the expansion dynamics of a Tonks-Girardeau gas is characterized by dynamical fermionization (DF), whereby the momentum distribution approaches that of a spin-polarized Fermi gas. Using a phase-space analysis and the unitary evolution of the one-body reduced density matrix, we show that DF can be tailored and reversed, using a generalization of delta kick cooling (DKC) to interacting systems, establishing a simple protocol to rescale the initial momentum distribution. The protocol applies to both expansions and compressions and can be used for microscopy of quantum correlations.

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Léonce Dupays, Jing Yang, Adolfo del Campo. 2022-06-27. Tailoring Dynamical Fermionization: Delta kick cooling of a Tonks-Girardeau gas. https://doi.org/10.1103/physreva.107.l051302

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