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- W2634271627 abstract "We derive the local statistics of the canonical ensemble of free fermions in a quadratic potential well at finite temperature, as the particle number approaches infinity. This free fermion model is equivalent to a random matrix model proposed by Moshe, Neuberger and Shapiro. Limiting behaviors obtained before for the grand canonical ensemble are observed in the canonical ensemble: We have at the edge the phase transition from the Tracy--Widom distribution to the Gumbel distribution via the Kardar-Parisi-Zhang (KPZ) crossover distribution, and in the bulk the phase transition from the sine point process to the Poisson point process. A similarity between this model and a class of models in the KPZ universality class is explained. We also derive the multi-time correlation functions and the multi-time gap probability formulas for the free fermions along the imaginary time." @default.
- W2634271627 created "2017-06-30" @default.
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- W2634271627 date "2017-06-20" @default.
- W2634271627 modified "2023-09-26" @default.
- W2634271627 title "Asymptotics of free fermions in a quadratic well at finite temperature and the Moshe-Neuberger-Shapiro random matrix model" @default.
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- W2634271627 doi "https://doi.org/10.48550/arxiv.1706.06653" @default.
- W2634271627 hasPublicationYear "2017" @default.
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