Vierheilig, Carmen and Bercioux, Dario and Grifoni, Milena (2011) Dynamics of a qubit coupled to a dissipative nonlinear quantum oscillator: An effective-bath approach. PHYSICAL REVIEW A, 83 (1): 012106. ISSN 1050-2947,
Full text not available from this repository.Abstract
We consider a qubit coupled to a nonlinear quantum oscillator, the latter coupled to an Ohmic bath, and investigate the qubit dynamics. This composed system can be mapped onto that of a qubit coupled to an effective bath. An approximate mapping procedure to determine the spectral density of the effective bath is given. Specifically, within a linear response approximation the effective spectral density is given by knowledge of the linear susceptibility of the nonlinear quantum oscillator. To determine the actual form of the susceptibility, we consider its periodically driven counterpart, which is the problem of the quantum Duffing oscillator within linear response theory in the driving amplitude. Knowing the effective spectral density, the qubit dynamics is investigated. In particular, an analytic formula for the qubit's population difference is derived. Within the regime of validity of our theory, a very good agreement is found with predictions obtained from a Bloch-Redfield master equation approach applied to the composite qubit-nonlinear oscillator system.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | STRUCTURED ENVIRONMENT; FLUX QUBIT; DRIVEN; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Chair Professor Grifoni > Group Milena Grifoni |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 29 Jun 2020 07:19 |
| Last Modified: | 29 Jun 2020 07:19 |
| URI: | https://pred.uni-regensburg.de/id/eprint/21393 |
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