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Title: Singularity of dynamical maps
Authors: Hou, S.C.
Yi, X.X. 
Yu, S.X. 
Oh, C.H. 
Issue Date: 5-Jul-2012
Citation: Hou, S.C., Yi, X.X., Yu, S.X., Oh, C.H. (2012-07-05). Singularity of dynamical maps. Physical Review A - Atomic, Molecular, and Optical Physics 86 (1) : -. ScholarBank@NUS Repository.
Abstract: For a dynamical map Λ(t,0), which sends a state ρ(0) of a quantum open system to a state ρ(t)=Λ(t,0)ρ(0), the decomposition law Λ(t,0)=Λ(t,t c)Λ(t c,0) may break down at a specific time t c. In this paper, we present a method to find the singular points t c and propose a measure for the singularity of the dynamical map. Two examples are portrayed to illustrate the method, and the measure of singularity for these singular points is calculated and discussed. An extension to a high-dimensional system is presented. © 2012 American Physical Society.
Source Title: Physical Review A - Atomic, Molecular, and Optical Physics
ISSN: 10502947
DOI: 10.1103/PhysRevA.86.012101
Appears in Collections:Staff Publications

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