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19 April 2024
 
  » arxiv » cond-mat/0606672

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Shot noise of amplitude of interference between independent atomic systems
Anatoli Polkovnikov ;
Date 26 Jun 2006
Subject Statistical Mechanics; Disordered Systems and Neural Networks
AbstractWe study shot (counting) noise of the amplitude of interference between independent atomic systems. We show that for the two interfering systems the variance of fringe amplitudes decreases as inverse power of the number of particles per system with the coefficient being a non-universal number. This number depends on the details of the initial state of each system implying that the shot noise measurements can be used to distinguish between different interfering states. We explicitly evaluate this coefficient for the two cases of interference between bosons in two number states and in two broken symmetry states with uncorrelated phases. We generalize our analysis to the interference of multiple independent atomic systems. We show that the variance of the properly defined interference contrast vanishes inversely proportionally to the number of systems. This result, implying high signal to noise ratio in the experiments measuring interference between multiple independent systems, holds both for bosons and for fermions.
Source arXiv, cond-mat/0606672
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