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Splitting a trap containing a Bose-Einstein condensate: Atom number fluctuations
Author(s) -
Juha Javanainen,
Misha Ivanov
Publication year - 1999
Publication title -
physical review a
Language(s) - English
Resource type - Journals
eISSN - 1094-1622
pISSN - 1050-2947
DOI - 10.1103/physreva.60.2351
Subject(s) - physics , bose–einstein condensate , atom (system on chip) , trap (plumbing) , atom laser , trapping , quantum mechanics , atomic physics , harmonic oscillator , harmonic , particle number , phase (matter) , particle (ecology) , ecology , meteorology , computer science , biology , embedded system , oceanography , plasma , geology
We theoretically study atom number fluctuations between the halves of a double-well trap containing a Bose-Einstein condensate. The basic tool is the two-mode approximation, which assumes that only two one-particle states are involved. An analytical harmonic-oscillator-like model is developed and verified numerically for both stationary fluctuations in the ground state of the system, and for the fluctuations resulting from splitting of a single trap by dynamically erecting a barrier in the middle. With increasing strength of the atom-atom interactions and/or increasing height of the potential barrier, the fluctuations tend to evolve from Poissonian to sub-Poissonian. Limits of validity of the two-mode model and its relations to the phase-atom-number approach of Leggett and Sols [A. J. Leggett and F. Sols, Found. Phys. 21, 353 (1991)] are discussed in detail.Peer reviewed: YesNRC publication: Ye

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