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Springer eBooks

Linear and Nonlinear Optical Response of a Dilute Bose Gas in the Condensation Regime

Jesús Martínez-Linares, Pál Bogár, G. S. Agarwal

Published Jan 1, 1997• 0 citations
Publisher
DOI
10.1007/978-94-011-5886-2_31

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We reconcile a long-standing controversy regarding the transition temperature of the Bose-Einstein condensation in a dilute interacting Bose gas, by showing that there is a crossover between ideal gas and interacting gas. The former corresponds to a Knudsen (or collisionless) regime, in which the mean-free-path is much larger than the system dimension, while the latter corresponds to the opposite hydrodynamic regime. The deviation of the transition temperature from that of the non-interacting gas is proportional to the square root of a in the Knudsen regime, and to a in the hydrodynamic regime, where a is the scattering length. This crossover may be observable in a Bose gas trapped in a potential or on an optical lattice.