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

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

2008-06-05

arxiv.org/abs/0806.0992v2

New J. Phys. 10 (2008) 115014

Physics

Quantum Physics

12 pages, 2 figures; V2: Published version

Scientific paper

10.1088/1367-2630/10/11/115014

We 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 $\Omega$ which can be very close (or even equal) to the spin Zeeman frequency $\Delta$. Mapping the problem onto a two-state system (TSS) coupled to a harmonic oscillator (HO) with frequency $\omega_0$ 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.

Affiliated with

Also associated with

No associations

Rating

Dissipative dynamics of a two - level system resonantly coupled to a harmonic mode does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Dissipative dynamics of a two - level system resonantly coupled to a harmonic mode, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dissipative dynamics of a two - level system resonantly coupled to a harmonic mode will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-128233