Non-destructive optical measurement of relative phase between two Bose condensates

Details Non-destructive optical measurement of relative phase between two Bose condensates Non-destructive optical measurement of relative phase between two Bose condensates

1997-03-21

arxiv.org/abs/cond-mat/9703190v1

Phys. Rev. A 56 (1997) 2996

Physics

Condensed Matter

26 pages, RevTex, 8 postscript figures, 1 MacBinary eps-figure

Scientific paper

10.1103/PhysRevA.56.2996

We study the interaction of light with two Bose condensates as an open quantum system. The two overlapping condensates occupy two different Zeeman sublevels and two driving light beams induce a coherent quantum tunneling between the condensates. We derive the master equation for the system. It is shown that stochastic simulations of the measurements of spontaneously scattered photons establish the relative phase between two Bose condensates, even though the condensates are initially in pure number states. These measurements are non-destructive for the condensates, because only light is scattered, but no atoms are removed from the system. Due to the macroscopic quantum interference the detection rate of photons depends substantially on the relative phase between the condensates. This may provide a way to distinguish, whether the condensates are initially in number states or in coherent states.

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