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Dark-soliton-induced anomaly in the thermodynamic behavior of a one-dimensional Bose gas

by Giulia De Rosi, Riccardo Rota, Grigori E. Astrakharchik, Jordi Boronat

Submission summary

As Contributors: Giulia De Rosi · Riccardo Rota
Preprint link: scipost_202106_00014v1
Date submitted: 2021-06-09 14:14
Submitted by: De Rosi, Giulia
Submitted to: SciPost Physics
Academic field: Physics
  • Atomic, Molecular and Optical Physics - Experiment
  • Atomic, Molecular and Optical Physics - Theory
Approaches: Theoretical, Computational


In different many-body systems, the specific heat shows an anomalous temperature dependence which signals the onset of phase transitions or intrinsic features of the excitation spectrum. In a one-dimensional Bose gas, we reveal an intriguing anomaly, although phase transitions cannot occur and the microscopic complicated spectrum has not permitted so far a link with the thermodynamics. We find that the anomaly temperature is ruled by the dark soliton energy, corresponding to the maximum of the hole-excitation branch in the spectrum. We rely on Bethe Ansatz to obtain the specific heat exactly and provide interpretations of the analytically tractable limits. The dynamic structure factor is computed with the Path Integral Monte Carlo method, gaining insight into the pattern of the excitations. This allows us to formulate a microscopic interpretation of the anomaly origin when the quantum and thermal effects are comparable. We provide indications for future observations and how the anomaly can be employed for in-situ thermometry and for identifying different collisional regimes. The dark-soliton anomaly is a quantum simulator of other anomalies in solid, electronic and spin chain systems.

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Submission scipost_202106_00014v1 on 9 June 2021

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