Generalized Two-State Theory for an Atom Laser with Nonlinear Couplings |
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Authors: | JING Hui and TIAN Li-Jun |
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Institution: | 1. Laboratory for Quantum Optics, Shanghai Institute of
Optics and Fine Mechanics, Shanghai 201800, China
;2. Theoretical Physics Division, Nankai Institute of Mathematics, Nankai University, Tianjin 300071, China |
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Abstract: | We present a generalized two-state theory to investigate the quantum dynamics and statistics of an atom laser with nonlinear couplings. The rotating wave approximate Hamiltonian of the system is proved to be analytically solvable. The fraction
of output atoms is then showed to exhibit an interesting collapse and revival phenomenon with respect to the evolution time, a sign of nonlinear couplings. Several nonclassical effects, such as sub-Poissonian distribution, quadrature squeezing effects, second-order cross-correlation and accompanied violation of
Cauchy-Schwartz inequality are also revealed for the output matter wave. The
initial global phase of the trapped condensate, in weak nonlinear coupling
limits, is found to exert an interesting impact on the quantum statistical properties of the propagating atom laser beam. |
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Keywords: | atom laser nonlinear couplings nonclassical effects |
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