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http://hdl.handle.net/2289/4010
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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2010_MPLB_24_2485.pdf Restricted Access | Restricted Access | 427.36 kB | Adobe PDF | View/Open Request a copy |
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