Groundstates of SU(2)-Symmetric Confined Bose Gas: Trap for a Schrödinger Cat

Details Groundstates of SU(2)-Symmetric Confined Bose Gas: Trap for a Schrödinger Cat Groundstates of SU(2)-Symmetric Confined Bose Gas: Trap for a Schrödinger Cat

2002-02-28

arxiv.org/abs/cond-mat/0202538v2

Physics

Condensed Matter

Soft Condensed Matter

5 RevTex pages, no figures; replaced with revised version, where the discussion on stability against temporal white noise and

Scientific paper

Conservation of the total isotopic spin S of a two-component Bose gas-like $^{87}$Rb-has a dramatic impact on the structure of the ground state. In the case when S is much smaller than the total number of particles N, the condensation of each of the two components occurs into two single-particle modes. The quantum wavefunction of such a groundstate is a Schr\"odinger Cat-a superposition of the phase separated classical condensates, the most "probable" state in the superposition corresponding to the classical groundstate in the sector of given N and S. After measurement of the spatial distribution of the densities of the two components, the Cat collapses into one of the classical condensate states.

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