Kardar-Parisi-Zhang universality in the coherence time of nonequilibrium one-dimensional quasicondensates

Year: 2024

Authors: Amelio I., Chiocchetta A., Carusotto I.

Autors Affiliation: Univ Libre Bruxelles, Ctr Nonlinear Phenomena & Complex Syst, CP 231,Campus Plaine, B-1050 Brussels, Belgium; Swiss Fed Inst Technol, Inst Quantum Elect, CH-8093 Zurich, Switzerland; CNR, Pitaevskii BEC Ctr, INO, I-38123 Trento, Italy; Univ Trento, Dipartimento Fis, I-38123 Trento, Italy; Univ Cologne, Inst Theoret Phys, Zulpicher Str 77, D-50937 Cologne, Germany.

Abstract: We investigate the finite-size origin of the coherence time (or equivalently of its inverse, the emission linewidth) of a spatially extended, one-dimensional nonequilibrium condensate. We show that the well-known Schawlow-Townes scaling of laser theory, possibly including the Henry broadening factor, only holds for small system sizes, while in larger systems the linewidth displays a novel scaling determined by Kardar-Parisi-Zhang physics. This is shown to lead to an opposite dependence of the coherence time on the optical nonlinearity in the two cases. We then study how subuniversal properties of the phase dynamics such as the higher moments of the phase-phase correlator are affected by the finite size and discuss the relation between the field coherence and the exponential of the phase-phase correlator. We finally identify a configuration with enhanced open boundary conditions, which supports a spatially uniform steady state and facilitates experimental studies of the coherence time scaling.

Journal/Review: PHYSICAL REVIEW E

Volume: 109 (1)      Pages from: 14104-1  to: 14104-10

More Information: We are grateful to Leonie Canet, Erwin Frey, Baruch Meerson, Anna Minguzzi, Dipankar Roy, and Davide Squizzato for useful discussions. We especially thank the anonymous referees for pointing out the TASEP results and Zhipeng Liu for helping us with the corresponding literature. We acknowledge financial support from the H2020-FETFLAG-2018-2020 project PhoQuS (No. 820392) , from the Provincia Autonoma di Trento, and from the PNRR MUR project PE0000023-NQSTI. I.A. was also supported in Zurich by the Swiss National Science Foundation (SNSF) under Grant No. 200021-204076 and in Brussels by the ERC grant LATIS and the EOS project CHEQS. All numerical calculations were performed using the JULIA programming language [54] .
KeyWords: Fluctuations; Asymptotics; Tasep; Ring
DOI: 10.1103/PhysRevE.109.014104

Citations: 1
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