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Zbl 1098.81043
Cherbal, Omar; Drir, Mahrez
Dissipative two-level spin system and geometrical phase. (English)
[A] Mladenov, Iva\"ilo (ed.) et al., Proceedings of the 7th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 2--10, 2005. Sofia: Bulgarian Academy of Sciences. 79-88 (2006). ISBN 954-8495-30-9/pbk

Summary: We propose to extend the concept of geometric phase to quantum dissipative systems, in the case of meta-stable spin states in magnetic resonance. We use the generalized version of Lewis-Riensenfeld invariant theory to study the dissipative systems described by non-hermitian time-dependent Hamiltonian.

MSC 2000:: *81Q70 Differential-geometric methods
81S25 Quantum stochastic calculus

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