Full counting statistics and large deviations in thermal 1D Bose gas
| Autor: | Dimitri M. Gangardt, Maksims Arzamasovs |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Physics
Condensed Matter::Quantum Gases Bose gas Distribution (number theory) Statistical Mechanics (cond-mat.stat-mech) Gaussian General Physics and Astronomy FOS: Physical sciences Interval (mathematics) 01 natural sciences symbols.namesake Dimension (vector space) Quantum Gases (cond-mat.quant-gas) 0103 physical sciences Statistics Thermal symbols Large deviations theory Condensed Matter - Quantum Gases 010306 general physics Condensed Matter - Statistical Mechanics Boson |
| DOI: | 10.48550/arxiv.1807.09381 |
| Popis: | We obtain the distribution of number of atoms in an interval (full counting statistics) of Lieb-Liniger model of interacting bosons in one dimension. Our results are valid in the weakly interacting regime in a parametrically large window of temperatures and interval lengths. The obtained distribution deviates strongly from a Gaussian away from the quasi-condensate regime, and, for sufficiently short intervals, the probability of large number fluctuations is strongly enhanced. Comment: 5 pages, 3 figures main text + 3 pages, 3 figures Supplementary Material |
| Databáze: | OpenAIRE |
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