Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Entropy of a Turbulent Bose-Einstein Condensate

Version 1 : Received: 30 July 2020 / Approved: 2 August 2020 / Online: 2 August 2020 (10:43:39 CEST)

A peer-reviewed article of this Preprint also exists.

Madeira, L.; García-Orozco, A.D.; dos Santos, F.E.A.; Bagnato, V.S. Entropy of a Turbulent Bose-Einstein Condensate. Entropy 2020, 22, 956. Madeira, L.; García-Orozco, A.D.; dos Santos, F.E.A.; Bagnato, V.S. Entropy of a Turbulent Bose-Einstein Condensate. Entropy 2020, 22, 956.

Journal reference: Entropy 2020, 22, 956
DOI: 10.3390/e22090956

Abstract

Quantum turbulence deals with the phenomenon of turbulence in quantum fluids, such as superfluid helium and trapped Bose-Einstein condensates (BECs). Although much progress has been made in understanding quantum turbulence, several fundamental questions remain to be answered. In this work, we investigated the entropy of a trapped BEC in several regimes, including equilibrium, small excitations, the onset of turbulence, and a turbulent state. We considered the time evolution when the system is perturbed and let to evolve after the external excitation is turned off. We derived an expression for the entropy consistent with the accessible experimental data, that is, using the assumption that the momentum distribution is well-known. We related the excitation amplitude to different stages of the perturbed system, and we found distinct features of the entropy in each of them. In particular, we observed a sudden increase in the entropy following the establishment of a particle cascade. We argue that entropy and related quantities can be used to investigate and characterize quantum turbulence.

Subject Areas

quantum turbulence; Bose-Einstein condensate; out-of-equilibrium; particle cascade

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