Full counting statistics of interference experiments between interacting one dimensional Bose liquids
Abstract
We analyze the full counting statistics of the amplitude of interference fringes for bosons released from two independent one dimensional condensates at zero temperature. We show that the distribution function of fringe amplitudes is related to the partition function for a quantum impurity in a one-dimensional Luttinger liquid and can be calculated explicitly using methods of conformal field theory. We point out interesting relations between these distribution functions and transfer matrices of conformal field theories. This establishes a connection between BEC interference experiments and a variety of statistical models ranging from stochastic growth models to two dimensional quantum gravity.Keywords
All Related Versions
- Version 1, 2006-02-21, ArXiv
- Version 2, 2006-08-18, ArXiv
- Published version: Nature Physics, 2 (10), 705.
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