Vierheilig, Carmen and Hausinger, Johannes and Grifoni, Milena (2009) Dissipative dynamics of a qubit coupled to a nonlinear oscillator. PHYSICAL REVIEW A, 80 (5): 052331. ISSN 1050-2947,
Full text not available from this repository.Abstract
We consider the dissipative dynamics of a qubit coupled to a nonlinear oscillator (NO) embedded in an Ohmic environment. By treating the nonlinearity up to first order and applying Van Vleck perturbation theory up to second order in the qubit-NO coupling, we derive an analytical expression for the eigenstates and eigenfunctions of the coupled qubit-NO system beyond the rotating wave approximation. In the regime of weak coupling to the thermal bath, analytical expressions for the time evolution of the qubit's populations are derived: they describe a multiplicity of damped oscillations superposed to a complex relaxation part toward thermal equilibrium. The long-time dynamics is characterized by a single relaxation rate, which is maximal when the qubit is tuned to one of the resonances with the nonlinear oscillator.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | SPIN-BOSON MODEL; SINGLE QUANTUM-DOT; STRUCTURED ENVIRONMENT; FLUX QUBIT; CIRCUIT; SYSTEM; PHOTON; STATE; REGIME; CAVITY; eigenvalues and eigenfunctions; perturbation theory; quantum computing; quantum theory; SQUIDs |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Chair Professor Grifoni > Group Milena Grifoni |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 03 Sep 2020 04:28 |
| Last Modified: | 03 Sep 2020 04:28 |
| URI: | https://pred.uni-regensburg.de/id/eprint/28233 |
Actions (login required)
 |
View Item |
