Zeno–anti-Zeno crossover via external fields in a one-dimensional coupled-cavity waveguide

Abstract

We have studied a hybrid system of a one-dimensional coupled-cavity waveguide with a twolevel system inside, which subject to a external periodical field. Using the extended Hilbert space formalism, the time-dependent Hamiltonian is reduced into an equivalent time-independent one. Via computing the Floquet-Green's function, the Zeno-anti-Zeno crossover is controlled by the driven intensity and frequency, and the detuning between the cavity and the two-level system.

Floquet control of quantum dissipation in spin chains

“…First, our decoherence inhibition mechanism is more robust to the imperfect fluctuation of the driving parameters than the decoupling mechanism revealed in Ref. [30,31], where the decoupling is achieved only in certain single values of the driving parameters. To see this, we resort to the same approximate method as in Refs.…”

“…There are several methods in the literature to explore the effects of periodic driving on quantum systems. For example, via neglecting the coupling between different temporal subspaces of the Floquet eigenequation (7) in the high-frequency driving condition, it was shown that the periodic driving can induce the suppressed tunneling of a quantum particle, a phenomenon called coherent destruction of tunneling [25][26][27], and the decoupling between open system and its environment [30,31]. It was also revealed that, via introducing the first-Markovian approximation to Eq.…”

“…Many efforts have been devoted to explore non-trivial effects induced by periodic driving on physical systems. It has been proven to play profound role not only in controlling single-quantum-state of microscopic systems [25][26][27][28][29][30][31][32] and implementing geometric phase gates in quantum computation [33,34], but also in generating novel states of matter absent in the original static system [35][36][37][38][39][40][41][42]. Different from static systems, periodically driven systems have no stationary states because the energy is not conserved.…”

Photon–quantum-dot dynamics in coupled-cavity photonic crystal slabs

“…To take advantage of the flexibility offered by PCS systems, it is often desirable to design systems that contain multiple defects [26,[39][40][41][42][43][44][45][46][47][48][49][50][51][52][53]. Some of these defects may be line defects that result in waveguide structures, while others may be point defects.…”

“…Point defects can be created by the removal, movement, or size change of one or more holes [52,54] or through a local change in the lattice constant of the periodic array of holes in the PCS [55]. Although considerable work has been done on the coupling of a single point defect to a waveguide [29,53,[56][57][58], many structures of potential interest involve the coupling of several point defects to each other [40][41][42][43][44] or of several point defects to waveguides [26,39,[46][47][48][49]. Examples of two such structures are shown in Fig.…”