Self-Pinning Transition of a Tonks-Girardeau Gas in a Bose-Einstein Condensate

• URL: http://arxiv.org/abs/2109.01500v2
• Date: Tue, 1 Feb 2022 06:45:25 GMT
• Title: Self-Pinning Transition of a Tonks-Girardeau Gas in a Bose-Einstein Condensate
• Authors: Tim Keller, Thom\'as Fogarty, Thomas Busch
• Abstract summary: We show that a Tonks-Girardeau (TG) gas that is immersed in a Bose-Einstein condensate can undergo a transition to a crystal-like Mott state with regular spacing between the atoms.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We show that a Tonks-Girardeau (TG) gas that is immersed in a Bose-Einstein condensate can undergo a transition to a crystal-like Mott state with regular spacing between the atoms without any externally imposed lattice potential. We characterize this phase transition as a function of the interspecies interaction and temperature of the TG gas, and show how it can be measured via accessible observables in cold atom experiments. We also develop an effective model that accurately describes the system in the pinned insulator state and which allows us to derive the critical temperature of the transition.

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