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Title: Time correlation functions for non-Hermitian quantum systems
Authors: Sergi, Alessandro 
Zloshchastiev, Konstantin G. 
Issue Date: 9-Jun-2015
Publisher: American Physical Society
Source: Sergi, A. and Zloshchastiev, K. G. 2015. Time correlation functions for non-Hermitian quantum systems. Physical Review A. 91, 062108
Abstract: We introduce a formalism for time-dependent correlation functions for systems whose evolutions are governed by non-Hermitian Hamiltonians of general type. It turns out that one can define two different types of time correlation functions. Both these definitions seem to be physically consistent while becoming equivalent only in certain cases. Moreover, when autocorrelation functions are considered, one can introduce another function defined as the relative difference between the two definitions. We conjecture that such a function can be used to assess the positive semidefiniteness of the density operator without computing its eigenvalues. We illustrate these points by studying analytically a number of models with two energy levels.
ISSN: 1050-2947
Appears in Collections:Research Publications (Systems Science)

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