Testing Broken U(1) Symmetry in a Two-Component Atomic Bose-Einstein Condensate

Details Testing Broken U(1) Symmetry in a Two-Component Atomic Bose-Einstein Condensate Testing Broken U(1) Symmetry in a Two-Component Atomic Bose-Einstein Condensate

2000-12-25

arxiv.org/abs/cond-mat/0012463v1

Physics

Condensed Matter

Statistical Mechanics

20 Pages RevTex, 3 Figures

Scientific paper

10.1103/PhysRevA.64.013612

We present a scheme for determining if the quantum state of a small trapped Bose-Einstein condensate is a state with well defined number of atoms, a Fock state, or a state with a broken U(1) gauge symmetry, a coherent state. The proposal is based on the observation of Ramsey fringes. The population difference observed in a Ramsey fringe experiment will exhibit collapse and revivals due to the mean-field interactions. The collapse and revival times depend on the relative strength of the mean-field interactions for the two components and the initial quantum state of the condensate.

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