Metastable criticality and the super Tonks-Girardeau gas

Abstract

We consider a 1D Bose gas with attractive interactions in an out-of-equilibrium highly excited state containing no bound states. We show that relaxation processes in the gas are suppressed, making the system metastable on long timescales. 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 indication of the attractive regime and can be probed experimentally. We observe that, despite its out-of-equilibrium nature, the system displays critical behaviour: correlation functions are characterised by asymptotic power-law decay described by the Luttinger liquid framework.

arXiv comment5 pages, 5 figures, added references

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• Quantum quenches to the attractive one-dimensional Bose gas: exact results
• One-dimensional liquid ${}^4$He: dynamical properties beyond Luttinger liquid theory
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• Memory and universality in interface growth
• Non-Hermitian skin effect in one-dimensional interacting Bose gas
• Edge singularities and quasi-long-range order in non-equilibrium steady states
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• Local correlations in the attractive 1D Bose gas: from Bethe ansatz to the Gross-Pitaevskii equation
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• Universal off-diagonal long-range order behaviour for a trapped Tonks-Girardeau gas
• Critical phenomena in one dimension from a Bethe ansatz perspective
• Quantum quench dynamics of the attractive one-dimensional Bose gas via the coordinate Bethe ansatz
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• On computing non-equilibrium dynamics following a quench
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• Localized-Interaction-Induced Quantum Reflection and Filtering of Bosonic Matter in a One-Dimensional Lattice Guide