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Metastable Criticality and the Super Tonks-Girardeau Gas

2012/11/27 by Miłosz Panfil, Jacopo De Nardis, Jean-Sébastien Caux
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum many-body systems #Quantum, superfluid, helium dynamics #cond-mat.quant-gas

paper · pdf · doi:10.1103/physrevlett.110.125302

published as Phys. Rev. Lett. 110, 125302 (2013) · 5 pages, 5 figures, added references

arxiv created 2012/11/27 · openalex publication_date 2013/03/20 · arxiv updated 2013/04/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We consider a 1D Bose gas with attractive interactions in a highly excited state containing no bound states. We show that in this so-called super Tonks-Girardeau gas, relaxation processes are suppressed, making the system metastable over long time scales. We compute dynamical correlation functions, revealing the structure of excitations, an enhancement of umklapp correlations and new branches due to intermediate bound states. These features give a clear signature of the super Tonks-Girardeau regime and can be used to experimentally identify it. We demonstrate that, despite its off-equilibrium nature, the system displays critical behavior: correlation functions are characterized by asymptotic power-law decay described by the Luttinger liquid framework.

Citations