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Phys. Rev. D 77, 045018 (2008) [10 pages]

Negative energy density in superposition and entangled states

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L. H. Ford*
Institute of Cosmology, Department of Physics and Astronomy, Tufts University, Medford, Massachusetts 02155, USA

Thomas A. Roman
Department of Mathematical Sciences, Central Connecticut State University, New Britain, Connecticut 06050, USA

Received 22 May 2007; published 13 February 2008

We examine the maximum negative energy density which can be attained in various quantum states of a massless scalar field. We consider states in which either one or two modes are excited, and show that the energy density can be given in terms of a small number of parameters. We calculate these parameters for several examples of superposition states for one mode, and entangled states for two modes, and find the maximum magnitude of the negative energy density in these states. We consider several states which have been, or potentially will be, generated in quantum optics experiments.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.77.045018
DOI:
10.1103/PhysRevD.77.045018
PACS:
03.65.Ud, 04.62.+v, 42.50.Pq

*ford@cosmos.phy.tufts.edu

roman@ccsu.edu