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Title: The scaling of weak field phase-only control in Markovian dynamics

Abstract

We consider population transfer in open quantum systems, which are described by quantum dynamical semigroups (QDS). Using second order perturbation theory of the Lindblad equation, we show that it depends on a weak external field only through the field's autocorrelation function, which is phase independent. Therefore, for leading order in perturbation, QDS cannot support dependence of the population transfer on the phase properties of weak fields. We examine an example of weak-field phase-dependent population transfer, and show that the phase-dependence comes from the next order in the perturbation.

Authors:
;  [1]
  1. Fritz Haber Research Center and the Institute of Chemistry, The Hebrew University, Jerusalem 91904 (Israel)
Publication Date:
OSTI Identifier:
22419923
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Chemical Physics; Journal Volume: 141; Journal Issue: 4; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 37 INORGANIC, ORGANIC, PHYSICAL AND ANALYTICAL CHEMISTRY; CONTROL; MARKOV PROCESS; PERTURBATION THEORY

Citation Formats

Am-Shallem, Morag, and Kosloff, Ronnie. The scaling of weak field phase-only control in Markovian dynamics. United States: N. p., 2014. Web. doi:10.1063/1.4890822.
Am-Shallem, Morag, & Kosloff, Ronnie. The scaling of weak field phase-only control in Markovian dynamics. United States. doi:10.1063/1.4890822.
Am-Shallem, Morag, and Kosloff, Ronnie. Mon . "The scaling of weak field phase-only control in Markovian dynamics". United States. doi:10.1063/1.4890822.
@article{osti_22419923,
title = {The scaling of weak field phase-only control in Markovian dynamics},
author = {Am-Shallem, Morag and Kosloff, Ronnie},
abstractNote = {We consider population transfer in open quantum systems, which are described by quantum dynamical semigroups (QDS). Using second order perturbation theory of the Lindblad equation, we show that it depends on a weak external field only through the field's autocorrelation function, which is phase independent. Therefore, for leading order in perturbation, QDS cannot support dependence of the population transfer on the phase properties of weak fields. We examine an example of weak-field phase-dependent population transfer, and show that the phase-dependence comes from the next order in the perturbation.},
doi = {10.1063/1.4890822},
journal = {Journal of Chemical Physics},
number = 4,
volume = 141,
place = {United States},
year = {Mon Jul 28 00:00:00 EDT 2014},
month = {Mon Jul 28 00:00:00 EDT 2014}
}
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