Work

Generating Function for Quantum Depletion of Bose-Einstein Condensates

Year: 2025

Type: article

Abstract: We consider a Bose gas on the unit torus at zero temperature in the Gross-Pitaevskii regime, known to perform Bose-Einstein condensation: a macroscopic fraction of the bosons occupy the same quantum state, called condensate. We study the Bose gas' quantum depletion, that is the number of bosons outside the condensate, and derive an explicit asymptotic formula of its generating function. Moreover, we prove an upper bound for the tails of the quantum depletion.

Source: Journal of Statistical Physics

DOI: 10.1007/s10955-025-03495-w

Author: Simone Rademacher

Institution: Ludwig-Maximilians-Universität München

Language: English

Topic: Cold Atom Physics and Bose-Einstein Condensates

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funder: European Research Council