The exact quantum dynamics of a single spin-1/2 in a generic time-dependent classical magnetic field are investigated and compared with the quantum motion of a spin-1/2 studied by Rabi and Schwinger. The possibility of regarding the scenario studied here as a generalization of that considered by Rabi and Schwinger is discussed and the notion of a time-dependent resonance condition is introduced and carefully legitimated and analyzed. Several examples help to disclose analogies and departures of the quantum motion induced in a generalized Rabi system with respect to that exhibited by the spin-1/2 in a magnetic field precessing around the z-axis. It is found that, under a generalized resonance condition, the time evolution of the transition probability P+−(t) between the two eigenstates of Ŝz may be dominated by a regime of distorted oscillations, or may even exhibit a monotonic behavior. At the same time, the authors succeed in predicting asymptotic behaviors with no oscillations in the time-dependence of P+−(t) under general conditions. New scenarios of experimental interest originating a Landau–Zener transition are brought to light.

Grimaudo, R., Magalhães de Castro, A.S., Nakazato, H., & Messina, A. (2018). Classes of Exactly Solvable Generalized Semi-Classical Rabi Systems. ANNALEN DER PHYSIK, 530(12) [10.1002/andp.201800198].

Classes of Exactly Solvable Generalized Semi-Classical Rabi Systems

Grimaudo, Roberto
;
Messina, Antonino
2018

Abstract

The exact quantum dynamics of a single spin-1/2 in a generic time-dependent classical magnetic field are investigated and compared with the quantum motion of a spin-1/2 studied by Rabi and Schwinger. The possibility of regarding the scenario studied here as a generalization of that considered by Rabi and Schwinger is discussed and the notion of a time-dependent resonance condition is introduced and carefully legitimated and analyzed. Several examples help to disclose analogies and departures of the quantum motion induced in a generalized Rabi system with respect to that exhibited by the spin-1/2 in a magnetic field precessing around the z-axis. It is found that, under a generalized resonance condition, the time evolution of the transition probability P+−(t) between the two eigenstates of Ŝz may be dominated by a regime of distorted oscillations, or may even exhibit a monotonic behavior. At the same time, the authors succeed in predicting asymptotic behaviors with no oscillations in the time-dependence of P+−(t) under general conditions. New scenarios of experimental interest originating a Landau–Zener transition are brought to light.
http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1521-3889
Grimaudo, R., Magalhães de Castro, A.S., Nakazato, H., & Messina, A. (2018). Classes of Exactly Solvable Generalized Semi-Classical Rabi Systems. ANNALEN DER PHYSIK, 530(12) [10.1002/andp.201800198].
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10447/328427
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