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Communications in Theoretical Physics

Generalized Two-State Theory for an Atom Laser and Its Interference

Yi Xue-Xi, Wang HaiJun, Jun-Chen Su, Sun Changpu

Published Dec 15, 2000• 0 citations
Publisher

Abstract

We present a generalized two-state theory to study the output coupler for Bose-Einstein condensate atoms and its interference. The results show that the fraction of out-coupled atoms can be adjusted between 0% and 100% by varying the amplitude of the rf. radiation, and the interference patterns of the two coherent outputs that are coupled out of a double-well trapped potential vary with time. Moreover, we study the influence of atom-atom interactions on the output Tn contrast with the case without atom-atom interactions, collapses and revivals appear in the number of the output atoms.

DOI
10.1088/0253-6102/34/4/715

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We present a generalized two-state theory to study the output coupler for Bose-Einstein condensate atoms and its interference. The results show that the fraction of out-coupled atoms can be adjusted between 0% and 100% by varying the amplitude of the rf. radiation, and the interference patterns of the two coherent outputs that are coupled out of a double-well trapped potential vary with time. Moreover, we study the influence of atom-atom interactions on the output Tn contrast with the case without atom-atom interactions, collapses and revivals appear in the number of the output atoms.
We present a theory to derive the output rate of an atom laser consisting of an interacting Bose-Einstein condensate in a magnetic trap and two additional rf fields transferring trapped atoms to a repelled Zeeman sublevel via an intermediate untrapped Zeeman sublevel. We explicitly obtain the dependence of the output rate ${\ensuremath{\Gamma}}_{\mathrm{out}}$ on various characteristic parameters such as a coupling parameter (the Rabi frequency), the atom number density in the center of the condensate, and the strength of the atom-atom interaction.
The coherence of a squeezed sodium atom laser generated from a Raman output coupler, in which the sodium atoms in Bose-Einstein condensate (BEC) interact with two light beams consisting of a weaker squeezed coherent probe light and a stronger classical coupling light, is investigated.The results show that in the case of a large mean number of BEC atoms and a weaker probe light field, the atom laser is antibunching, and this atom laser is second-order coherent if the number of BEC atoms in traps is large enough.
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.