Quantum resonant effect of the strongly-driven spin-boson model

TL;DR

This paper explores the quantum dynamics of the strongly-driven spin-boson model, predicting a new type of Rabi oscillation and resonant peaks useful for precision measurements, with potential realization in solid-state cavity QED.

Contribution

It introduces a novel resonant effect in the strongly-driven spin-boson model, including a new Rabi oscillation and resonance peaks, supported by analytical and numerical analysis.

Findings

Prediction of a new Rabi oscillation with period inversely proportional to driving amplitude

Discovery of nonzero resonant peaks at specific strong driving parameters

Potential application in high-precision parameter measurement in experiments

Abstract

In this paper we discuss both analytically and numerically the rich quantum dynamics of the spin-boson model driven by a time-independent field of photon. Interestingly, we predict a new Rabi oscillation, whose period is inversely proportional to the driving amplitude. More surprisingly, some nonzero resonant peaks are found for some special values of the \emph{strong} driving regime. Moreover, for the different resonant positions, the peaks have different values. Thus, an important application of this resonance effect is to realize the precision measurement of the relative parameters in experiment. We also illustrate that this resonant effect arises from the interference of the nontrivial periodic phase factors induced by the evolution of the coherent states in two different subspaces. Our predictions may be, in principle, observed in the solid-state cavity quantum electrodynamics with the ultrastrong coupling if the driving magnitude of the photon field is sufficiently large.