Quantum Fluctuations in Bose--Einstein Condensates:Microscopic Correlations and Moment Bounds

math-ph, cond-mat.quant-gas, math.AP, math.MP

Submitted: 2026-10-05

Updated: 2026-10-05

Comments: 259 pages, 0 figure

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Sources

• Gross-Pitaevskii Dynamics for Bose-Einstein Condensates
• Quantum Fluctuations of Many-Body Dynamics around the Gross-Pitaevskii Equation
• Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations
• Bosonic quadratic Hamiltonians
• General relations for quantum gases in two and three dimensions. II. Bosons and mixtures
• On the Schr\"odinger Equation for Time-Dependent Hamiltonians with a Constant Form Domain
• Dispersive estimates and long-time validity for Bogoliubov dynamics of interacting Bose gases
• Wiener pairs of Banach algebras of operator-valued matrices
• On the spherical symmetry and finite-range assumptions of the interaction potential in the low energy study of dilute Bose gases

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