TY - JOUR

T1 - Classes of Exactly Solvable Generalized Semi-Classical Rabi Systems

AU - Grimaudo, Roberto

AU - Messina, Antonino

AU - Magalhães De Castro, Antonio Sérgio

AU - Grimaudo, Roberto

AU - Magalhães De Castro, Antonio Sérgio

AU - Nakazato, Hiromichi

AU - Messina, Antonino

PY - 2018

Y1 - 2018

N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10447/328427

UR - http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1521-3889

M3 - Article

SN - 0003-3804

VL - 530

JO - Annalen der Physik

JF - Annalen der Physik

ER -