Non-Markovian dynamics in a spin star system: Exact solution and approximation techniques

Details Non-Markovian dynamics in a spin star system: Exact solution and approximation techniques Non-Markovian dynamics in a spin star system: Exact solution and approximation techniques

2004-01-09

arxiv.org/abs/quant-ph/0401051v2

Physical Review B 70, 045323 (2004)

Physics

Quantum Physics

11 pages, 7 figures; submitted to PRB

Scientific paper

10.1103/PhysRevB.70.045323

The reduced dynamics of a central spin coupled to a bath of N spin-1/2 particles arranged in a spin star configuration is investigated. The exact time evolution of the reduced density operator is derived, and an analytical solution is obtained in the limit of an infinite number of bath spins, where the model shows complete relaxation and partial decoherence. It is demonstrated that the dynamics of the central spin cannot be treated within the Born-Markov approximation. The Nakajima-Zwanzig and the time-convolutionless projection operator technique are applied to the spin star system. The performance of the corresponding perturbation expansions of the non-Markovian equations of motion is examined through a comparison with the exact solution.

Affiliated with

Also associated with

No associations

Rating

Non-Markovian dynamics in a spin star system: Exact solution and approximation techniques 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 Non-Markovian dynamics in a spin star system: Exact solution and approximation techniques, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Non-Markovian dynamics in a spin star system: Exact solution and approximation techniques will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-688798