Quantum Phase Coordinate as a Zero-Mode in Bose-Einstein Condensed States

DOI10.1143/PTP.107.679zbMath1039.81591OpenAlexW2056437687MaRDI QIDQ3147326

Hideki Matsumoto, Shoichi Sakamoto

Publication date: 2002

Published in: Progress of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1143/ptp.107.679

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Many-body theory; quantum Hall effect (81V70) Quantum equilibrium statistical mechanics (general) (82B10)

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Thermal and quantum fluctuations of confined Bose-Einstein condensate beyond the Bogoliubov approximation ⋮ Derivation of non-Markovian transport equations for trapped cold atoms in nonequilibrium thermal field theory ⋮ Quantum field theoretical description of unstable behavior of trapped Bose-Einstein condensates with complex eigenvalues of Bogoliubov-de Gennes equations ⋮ Nonlinear corrections in the quantization of a weakly nonideal Bose gas at zero temperature ⋮ \(4 \times 4\)-matrix transformation for systems with spontaneous symmetry breakdown and self-consistent renormalization in nonequilibrium thermo field dynamics ⋮ Quantum field theoretical analysis on unstable behavior of Bose-Einstein condensates in optical lattices ⋮ Relation between generalized Bogoliubov and Bogoliubov–de Gennes approaches including Nambu–Goldstone mode ⋮ Dynamical instability induced by the zero mode under symmetry breaking external perturbation ⋮ Unifying treatment of nonequilibrium and unstable dynamics of cold bosonic atom system with time-dependent order parameter in thermo field dynamics ⋮ Analytical study of the splitting process of a multiply-quantized vortex in a Bose-Einstein condensate and collaboration of the zero and complex modes

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