Dissipative two-level system under strong ac driving: A combination of Floquet and Van Vleck perturbation theory

Hausinger, Johannes and Grifoni, Milena (2010) Dissipative two-level system under strong ac driving: A combination of Floquet and Van Vleck perturbation theory. PHYSICAL REVIEW A, 81 (2): 022117. ISSN 1050-2947,

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Abstract

We study the dissipative dynamics of a two-level system (TLS) exposed to strong ac driving. By combining Floquet theory with Van Vleck perturbation theory in the TLS tunneling matrix element, we diagonalize the time-dependent Hamiltonian and provide corrections to the renormalized Rabi frequency of the TLS, which are valid for both a biased and unbiased TLS and go beyond the known high-frequency and rotating-wave results. In order to mimic environmental influences on the TLS, we couple the system weakly to a thermal bath and solve analytically the corresponding Floquet-Bloch-Redfield master equation. We give a closed expression for the relaxation and dephasing rates of the TLS and discuss their behavior under variation of the driving amplitude. Further, we examine the robustness of coherent destruction of tunneling (CDT) and driving-induced tunneling oscillations (DITO). We show that also for a moderate driving frequency an almost complete suppression of tunneling can be achieved for short times and demonstrate the sensitiveness of DITO to a change of the external parameters.

Item Type: Article
Uncontrolled Keywords: DEPENDENT ELECTRIC-FIELD; DAMPED 2-STATE SYSTEM; SPIN-BOSON SYSTEM; STRUCTURED ENVIRONMENT; SUPERCONDUCTING QUBIT; TUNNELING DYNAMICS; QUANTUM DYNAMICS; DRIVEN; STATES; TIME;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics > Chair Professor Grifoni > Group Milena Grifoni
Depositing User: Dr. Gernot Deinzer
Date Deposited: 10 Aug 2020 09:20
Last Modified: 10 Aug 2020 09:20
URI: https://pred.uni-regensburg.de/id/eprint/25261

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