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16 April 2024
 
  » arxiv » cond-mat/0606201

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Quantum limits to bosonic center-of-mass measurements
Timothy Vaughan ; Peter Drummond ; Gerd Leuchs ;
Date 8 Jun 2006
Subject Other; Mesoscopic Systems and Quantum Hall Effect
AbstractWe discuss various subtleties in identifying the mean position (center-of-mass) of a bosonic cloud in the presence of particle number fluctuations. We introduce a standard quantum limit for these measurements and discuss this limit in the context of both photons and ultra-cold atoms. The difference between the actual mean-position fluctuation and this limit is evidence for quantum wave-packet spreading. However, this cannot be readily observed for normal pulses in a linear dispersive medium, due to classical pulse broadening. For this reason, we study the evolution of photonic and matter-wave solitons, where this is suppressed. In the photonic case, we show that this intrinsic quantum diffusion of the mean position can contribute significantly to uncertainties in soliton pulse arrival times. On the other hand, we discuss ways in which the relatively long lifetimes of attractive bosons in matter-wave solitons may be used to demonstrate quantum interference between massive objects composed of thousands of particles.
Source arXiv, cond-mat/0606201
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