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Journal of Statistical Physics

Fluctuations in the population of the ground state of Bose Systems

Izuru Fujiwara, D. ter Haar, Harald Wergeland

Published Dec 1, 1970• 65 citations
Publisher
DOI
10.1007/bf01020442

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In this work we investigate scattering of ultrashort light pulses from two coupled neutral atomic Bose-Einstein condensates corresponding to two different ground hyperfine sublevels. Two counterpropagating ${\ensuremath{\sigma}}_{+}$ and ${\ensuremath{\sigma}}_{\ensuremath{-}}$ light waves are employed to excite the atomic condensates. We find that the spectrum of scattered light is determined by the initial preparation of the atomic condensate. The spectrum is found to be a mirror image of the population distribution. The scattered light probes the population distribution between the two condensates. In particular, we find that, when the population is equally distributed between the two ground states, the quantum fluctuations in the spectrum are suppressed due to destructive quantum interference.
An analytical insight into the symmetry-breaking mechanisms underlying the transition from Josephson to self-trapping regimes in Bose-Einstein condensates is presented. We obtain expressions for the ground-state properties of the system of a gas of attractive bosons modeled by a two-site Bose-Hubbard Hamiltonian with an external bias. Simple formulas are found relating the appearance of fragmentation in the condensate with the large quantum fluctuations of the population imbalance occurring in the transition from the Josephson to the self-trapped regime.