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Coherent Dynamics of Bose Condensed Atoms in a Double-Well Trap

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Abstract:

The dynamics of tunneling of Bose condensed atoms through a barrier between two wells taking into account elastic interparticle interations was examined using the Gross-Pitaevskii equation. The analytic solutions of the set of nonlinear differential equations were obtained that describe the dependences of the time evolution of atoms in the wells versus the initial densities of atoms, the initial phase difference, and the resonance detuning. It is shown that the time evolution of the system is substantially defined by the initial conditions. It manifests itself as a periodic or aperiodic variation of the density of atoms or a state of rest for non-zero initial densities of atoms in the wells. The found peculiarities of the dependences of time evolution of the density of atoms versus the initial phase difference suggest that it is possible to perform a phase control of the system.

Keywords: BOSE-EINSTEIN CONDENSATION; DOUBLE-WELL TRAP; GROSS-PITAEVSKII EQUATION

Document Type: Research Article

DOI: https://doi.org/10.1166/jno.2011.1194

Publication date: 2011-12-01

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  • Journal of Nanoelectronics and Optoelectronics (JNO) is an international and cross-disciplinary peer reviewed journal to consolidate emerging experimental and theoretical research activities in the areas of nanoscale electronic and optoelectronic materials and devices into a single and unique reference source. JNO aims to facilitate the dissemination of interdisciplinary research results in the inter-related and converging fields of nanoelectronics and optoelectronics.
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