Number fluctuations of cold spatially split bosonic objects

Details Number fluctuations of cold spatially split bosonic objects Number fluctuations of cold spatially split bosonic objects

2011-08-16

arxiv.org/abs/1108.3276v1

Phys. Rev. A 84, 053622, (2011)

Physics

Condensed Matter

Quantum Gases

15 pages, no figures

Scientific paper

10.1103/PhysRevA.84.053622

We investigate the number fluctuations of spatially split many-boson systems employing a theorem about the maximally and minimally attainable variances of an observable. The number fluctuations of many-boson systems are given for different numbers of lattice sites and both mean-field and many-body wave functions. It is shown which states maximize the particle number fluctuations, both in lattices and double-wells. The fragmentation of the states is discussed, and it is shown that the number fluctuations of some fragmented states are identical to those of fully condensed states.

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