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Entropy 2018, 20(1), 20;

Liouvillian of the Open STIRAP Problem

Department of Physics, Stockholm University, AlbaNova University Center, 106 91 Stockholm, Sweden
These authors contributed equally to this work.
Author to whom correspondence should be addressed.
Received: 25 October 2017 / Revised: 11 December 2017 / Accepted: 20 December 2017 / Published: 3 January 2018
(This article belongs to the Special Issue Coherence in Open Quantum Systems)
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With the corresponding Liouvillian as a starting point, we demonstrate two seemingly new phenomena of the STIRAP problem when subjected to irreversible losses. It is argued that both of these can be understood from an underlying Zeno effect, and in particular both can be viewed as if the environment assists the STIRAP population transfer. The first of these is found for relative strong dephasing, and, in the language of the Liouvillian, it is explained from the explicit form of the matrix generating the time-evolution; the coherence terms of the state decay off, which prohibits further population transfer. For pure dissipation, another Zeno effect is found, where the presence of a non-zero Liouvillian gap protects the system’s (adiabatic) state from non-adiabatic excitations. In contrast to full Zeno freezing of the evolution, which is often found in many problems without explicit time-dependence, here, the freezing takes place in the adiabatic basis such that the system still evolves but adiabatically. View Full-Text
Keywords: STIRAP; Lindblad equation; quantum coherent control; exceptional points STIRAP; Lindblad equation; quantum coherent control; exceptional points

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Mathisen, T.; Larson, J. Liouvillian of the Open STIRAP Problem. Entropy 2018, 20, 20.

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