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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Separability dynamics of two-mode Gaussian states in parametric conversion and amplification

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Author(s):
Dodonov, A. V. [1] ; Dodonov, V. V. ; Mizrahi, S. S.
Total Authors: 3
Affiliation:
[1] Universidade Federal de São Carlos (UFSCAR). Centro de Ciências Exatas e de Tecnologia. Departamento de Física - Brasil
Total Affiliations: 3
Document type: Journal article
Source: Journal of Physics A : Mathematical and General; v. 38, n. 3, p. 683-696, Jan. 2005.
Field of knowledge: Physical Sciences and Mathematics - Physics
Abstract

We give a simplified form of Simon's separability criterion for two-mode Gaussian states, showing that for systems whose unitary evolution is governed by arbitrary time-dependent quadratic Hamiltonians, the separability dynamics is completely described in terms of the determinant of the cross-covariance matrix. As concrete examples, we consider the evolution of the 'inverse negativity coefficient' (which gives a quantitative estimation of the 'degree of entanglement') for two initially uncoupled modes (each being in a squeezed thermal state) in the cases of parametric converter, parametric amplifier and for a cavity whose boundary oscillates in resonance with two field modes. (AU)

FAPESP's process: 00/15084-5 - Atoms, ions and fields in traps and cavities
Grantee:Salomon Sylvain Mizrahi
Support type: Research Projects - Thematic Grants