Statistical mechanics of one-dimensional quantum droplets
| Autor: | Panayotis G. Kevrekidis, Simeon Mistakidis, Thudiyangal Mithun, Peter Schmelcher |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Physics
Quantum Physics Partition function (statistical mechanics) Atomic Physics (physics.atom-ph) Operator (physics) FOS: Physical sciences Pattern Formation and Solitons (nlin.PS) Statistical mechanics Nonlinear Sciences - Pattern Formation and Solitons 01 natural sciences Instability Physics - Atomic Physics 010305 fluids & plasmas Condensed Matter - Other Condensed Matter Distribution (mathematics) Quantum Gases (cond-mat.quant-gas) 0103 physical sciences Probability distribution Statistical physics Quantum Physics (quant-ph) Condensed Matter - Quantum Gases 010306 general physics Langevin dynamics Quantum Other Condensed Matter (cond-mat.other) |
| Zdroj: | Physical Review A. 104 |
| ISSN: | 2469-9934 2469-9926 |
| DOI: | 10.1103/physreva.104.033316 |
| Popis: | We study the statistical mechanics and the dynamical relaxation process of modulationally unstable one-dimensional quantum droplets described by a modified Gross-Pitaevskii equation. To determine the classical partition function thereof, we leverage the semi-analytical transfer integral operator (TIO) technique. The latter predicts a distribution of the observed wave function amplitudes and yields two-point correlation functions providing insights into the emergent dynamics involving quantum droplets. We compare the ensuing TIO results with the probability distributions obtained at large times of the modulationally unstable dynamics as well as with the equilibrium properties of a suitably constructed Langevin dynamics. We find that the instability leads to the spontaneous formation of quantum droplets featuring multiple collisions and by which are found to coalesce at large evolution times. Our results from the distinct methodologies are in good agreement aside from the case of low temperatures in the special limit where the droplet widens. In this limit, the distribution acquires a pronounced bimodal character, exhibiting a deviation between the TIO solution and the Langevin dynamics. 12 pages, 10 figures |
| Databáze: | OpenAIRE |
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