Dissipative dynamics of a two - level system resonantly coupled to a harmonic mode

Simple item page
dc.creatorBrito, Frederico
dc.creatorCaldeira, Amir O.
dc.date2008-06-05
dc.date2008-12-11
dc.date.accessioned2026-07-07T12:11:32Z
dc.date.available2026-07-07T12:11:32Z
dc.descriptionWe propose an approximation scheme to describe the dynamics of the spin-boson model when the spectral density of the environment shows a peak at a characteristic frequency $Ω$ which can be very close (or even equal) to the spin Zeeman frequency $Δ$. Mapping the problem onto a two-state system (TSS) coupled to a harmonic oscillator (HO) with frequency $ω_0$ we show that the representation of displaced HO states provides an appropriate basis to truncate the Hilbert space of the TSS-HO system and therefore a better picture of the system dynamics. We derive an effective Hamiltonian for the TSS-HO system, and show it furnishes a very good approximation for the system dynamics even when its two subsystems are moderately coupled. Finally, assuming the regime of weak HO-bath coupling and low temperatures, we are able to analytically evaluate the dissipative TSS dynamics.
dc.description12 pages, 2 figures; V2: Published version
dc.identifierhttps://arxiv.org/abs/0806.0992
dc.identifierhttp://arxiv.org/abs/0806.0992
dc.identifierNew J. Phys. 10 (2008) 115014
dc.identifierdoi:10.1088/1367-2630/10/11/115014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210248
dc.subjectQuantum Physics
dc.subjectMesoscale and Nanoscale Physics
dc.titleDissipative dynamics of a two - level system resonantly coupled to a harmonic mode
dc.typetext

Files

Collections

arXiv