Quantum state of two trapped Bose-Einstein condensates with a Josephson coupling

Details Quantum state of two trapped Bose-Einstein condensates with a Josephson coupling Quantum state of two trapped Bose-Einstein condensates with a Josephson coupling

1997-10-14

arxiv.org/abs/cond-mat/9710124v1

Physics

Condensed Matter

26 pages, 11 figures

Scientific paper

10.1103/PhysRevA.57.2920

We consider the precise quantum state of two trapped, coupled Bose Einstein condensates in the two-mode approximation. We seek a representation of the state in terms of a Wigner-like distribution on the two-mode Bloch sphere. The problem is solved using a self-consistent rotation of the unknown state to the south pole of the sphere. The two-mode Hamiltonian is projected onto the harmonic oscillator phase plane, where it can be solved by standard techniques. Our results show how the number of atoms in each trap and the squeezing in the number difference depend on the physical parameters. Considering negative scattering lengths, we show that there is a regime of squeezing in the relative phase of the condensates which occurs for weaker interactions than the superposition states found by Cirac et al% (quant-ph/9706034, 13 June 1997). The phase squeezing is also apparent in mildly asymmetric trap configurations.

Affiliated with

Also associated with

No associations

Rating

Quantum state of two trapped Bose-Einstein condensates with a Josephson coupling does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Quantum state of two trapped Bose-Einstein condensates with a Josephson coupling, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum state of two trapped Bose-Einstein condensates with a Josephson coupling will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-257962