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Full Counting Statistics and Large Deviations in a Thermal 1D Bose Gas
Maksims Arzamasovs1, Dimitri M Gangardt2
1Department 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, Latvia.
Physical Review Letters
|April 13, 2019
Summary
We studied full counting statistics for one-dimensional interacting bosons. The atom distribution deviates from Gaussian behavior, showing enhanced fluctuations in short intervals.
Area of Science:
- Quantum physics
- Condensed matter physics
- Statistical mechanics
Background:
- Understanding quantum systems requires analyzing particle distributions.
- Interacting bosons in one dimension exhibit unique quantum phenomena.
Purpose of the Study:
- To determine the full counting statistics for interacting bosons in one dimension.
- To investigate deviations from standard statistical distributions.
Main Methods:
- Analytical derivation of particle number distribution.
- Analysis within the weakly interacting regime.
Main Results:
- Obtained the full counting statistics for one-dimensional interacting bosons.
- The distribution deviates significantly from a Gaussian, especially outside the quasicondensate regime.
- Observed strongly enhanced probability of large number fluctuations for short intervals.
Conclusions:
- The behavior of interacting bosons is non-Gaussian under specific conditions.
- Quantum fluctuations are more pronounced in confined systems or short intervals.
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