Dissipative dynamics of a biased qubit coupled to a harmonic oscillator: Analytical results beyond the rotating wave approximation

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dc.creatorHausinger, Johannes
dc.creatorGrifoni, Milena
dc.date2008-06-20
dc.date2008-11-24
dc.date.accessioned2026-07-07T10:19:57Z
dc.date.available2026-07-07T10:19:57Z
dc.descriptionWe study the dissipative dynamics of a biased two-level system (TLS) coupled to a harmonic oscillator (HO), the latter interacting with an Ohmic environment. Using Van-Vleck perturbation theory and going to second order in the coupling between TLS and HO, we show how the Hamiltonian of the TLS-HO system can be diagonalized analytically. Our model represents an improvement to the usually used Jaynes-Cummings Hamiltonian as an initial rotating wave approximation is avoided. By assuming a weak coupling to the thermal bath, analytical expressions for the time evolution of the populations of the TLS are found: the population is characterized by a multiplicity of damped oscillations together with a complex relaxation dynamics towards thermal equilibrium. The long time evolution is characterized by a single relaxation rate, which is largest at resonance and whose expression can be given in closed analytic form.
dc.description39 pages, 17 figures; published version
dc.identifierhttps://arxiv.org/abs/0806.3387
dc.identifierhttp://arxiv.org/abs/0806.3387
dc.identifierNew J. Phys. 10 (2008) 115015
dc.identifierdoi:10.1088/1367-2630/10/11/115015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174701
dc.subjectQuantum Physics
dc.subjectMesoscale and Nanoscale Physics
dc.subjectSuperconductivity
dc.titleDissipative dynamics of a biased qubit coupled to a harmonic oscillator: Analytical results beyond the rotating wave approximation
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