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Entanglement induced fluctuations of cold bosons

Ram Brustein and Amos Yarom

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We show that due to entanglement, quantum fluctuations may differ significantly from statistical fluctuations. We calculate quantum fluctuations of the particle number and of the energy in a sub-volume of a system of bosons in a pure state, and briefly discuss the possibility of measuring them. We find that energy fluctuations have a non-extensive nature.


Keywords

entanglement in extended quantum systems (theory)

Bose Einstein condensation (theory)

PACS

05.30.Jp Boson systems

05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion

03.65.Ud Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.)

MSC

82B10 Quantum equilibrium statistical mechanics (general)

82B21 Continuum models (systems of particles, etc.)

Subjects

Quantum gases, liquids and solids

Quantum information and quantum mechanics

Statistical physics and nonlinear systems

Dates

Issue 07 (July 2008)

Received 17 April 2008, accepted for publication 7 July 2008

Published 29 July 2008



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