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Dissipative effects in Multilevel Systems

Solomon, Allan I. and Schirmer, Sonia G. (2007). Dissipative effects in Multilevel Systems. Journal of Physics: Conference Series, 87 pp. 1–11.

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DOI (Digital Object Identifier) Link: http://dx.doi.org/10.1088/1742-6596/87/1/012015
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Abstract

Dissipation is sometimes regarded as an inevitable and regrettable presence in the real evolution of a quantum system. However, the effects may not always be malign, although often non-intuitive and may even be beneficial. In this note we we display some of these effects for N-level systems, where N = 2,3,4.

We start with an elementary introduction to dissipative effects on the Bloch Sphere, and its interior, the Bloch Ball, for a two-level system. We describe explicitly the hamiltonian evolution as well as the purely dissipative dynamics, in the latter case giving the t-> infinity limits of the motion. This discussion enables us to provide an intuitive feeling for the measures of control-reachable states. For the three-level case we discuss the impossibility of isolating a two-level (qubit) subsystem; this is a Bohm-Aharonov type consequence of dissipation.

We finally exemplify the four-level case by giving constraints on the decay of two-qubit entanglement.

Item Type: Journal Article
ISSN: 1742-6588
Keywords: dissipation; control
Academic Unit/Department: Science > Physical Sciences
Item ID: 10324
Depositing User: Allan Solomon
Date Deposited: 23 Jan 2008
Last Modified: 07 Dec 2010 06:11
URI: http://oro.open.ac.uk/id/eprint/10324
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