Full Counting Statistics and Large Deviations in a Thermal 1D Bose Gas
Maksims ArzamasovsDepartment of Applied Physics, School of Science, Xi'an Jiaotong University, Xi'an 710049, Shaanxi, China, Shaanxi Province Key Laboratory of Quantum Information and Quantum Optoelectronic Devices, Xi'an Jiaotong University, Xi'an 710049, Shaanxi, China, and Institute of Atomic Physics and Spectroscopy, University of Latvia, Riga, LV-1586, LatviaD. M. GangardtSchool of Physics and Astronomy, University of Birmingham, Edgbaston, Birmingham, B15 2TT, United Kingdom
2019en
ABI
Abstract
We obtain the distribution of a number of atoms in an interval (full counting statistics) for 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 significantly deviates from a Gaussian away from the quasicondensate regime, and, for sufficiently short intervals, the probability of large number fluctuations is strongly enhanced.
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Cited by 20 references