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Large deviations for the ground state of weakly interacting Bose gases | | Simone Rademacher
; | | Date: |
1 Jan 2023 | | Abstract: | We consider the ground state of a Bose gas of N particles on the
three-dimensional unit torus in the mean-field regime that is known to exhibit
Bose-Einstein condensation. Bounded one-particle operators with law given
through the interacting Bose gas’ ground state correspond to dependent random
variables due to the bosons’ correlation. We prove that in the limit $N
ightarrow infty$ bounded one-particle operators with law given by the ground
state satisfy large deviation estimates. We derive a lower and an upper bound
on the rate function that match up to second order and that are characterized
by quantum fluctuations around the condensate. | | Source: | arXiv, 2301.00430 | | Services: | Forum | Review | PDF | Favorites | |
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