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Dissipative two-level spin system and geometrical phase. (English) Zbl 1098.81043

Mladenov, Ivaïlo (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 (ISBN 954-8495-30-9/pbk). 79-88 (2006).
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.
For the entire collection see [Zbl 1089.53004].

MSC:

81Q70 Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory
81S25 Quantum stochastic calculus
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