Title:	Complementarity in generic open quantum systems
Authors:	Banerjee, Subhashish Srikanth, R.
Keywords:	Complementarity entropic uncertainty principle open quantum systems oscillator systems atomic systems
Issue Date:	20-Sep-2010
Publisher:	World Scientific Publishing Company
Citation:	Modern Physics Letters B, 2010, Vol.24, p2485
Abstract:	We develop a unified, information theoretic interpretation of the number-phase complementarity that is applicable both to finite-dimensional (atomic) and infinite-dimensional (oscillator) systems, with number treated as a discrete Hermitian observable and phase as a continuous positive operator valued measure (POVM). The relevant uncertainty principle is obtained as a lower bound on entropy excess, X, the difference between the entropy of one variable, typically the number, and the knowledge of its complementary variable, typically the phase, where knowledge of a variable is defined as its relative entropy with respect to the uniform distribution. In the case of finite-dimensional systems, a weighting of phase knowledge by a factor μ (> 1) is necessary in order to make the bound tight, essentially on account of the POVM nature of phase as defined here. Numerical and analytical evidence suggests that μ tends to 1 as the system dimension becomes infinite. We study the effect of non-dissipative and dissipative noise on these complementary variables for an oscillator as well as atomic systems.
Description:	Restricted Access. An open-access version is available at arXiv.org (one of the alternative locations)
URI:	http://hdl.handle.net/2289/4010
ISSN:	0217-9849 1793-6640 (Online)
Alternative Location:	http://arxiv.org/abs/0905.3269 http://dx.doi.org/10.1142/S0217984910024870 http://adsabs.harvard.edu/abs/2010MPLB...24.2485B
Copyright:	2010 World Scientific Publishing Company
Appears in Collections:	Research Papers (TP)

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