SAIP2012

Stochastic wave-function unravelling of the generalized Lindblad equation using correlated states

12 Jul 2012, 08:40

20m

Oral Presentation Track G - Theoretical and Computational Physics Theoretical

Speaker

Mr Tony Nsio Nzundu (UKZN)

Main supervisor (name and email)<br>and his / her institution

Mervlyn Moodley (moodleym2@ukzn.ac.za)

Level for award<br>&nbsp;(Hons, MSc, <br> &nbsp; PhD)?

PhD

Apply to be<br> consider for a student <br> &nbsp; award (Yes / No)?

Yes

Would you like to <br> submit a short paper <br> for the Conference <br> Proceedings (Yes / No)?

No

Abstract content <br> &nbsp; (Max 300 words)

We present a stochastic wave-function unravelling of the generalized Lindblad master equation using correlated states, that is a combination of the system state vectors and the environment population. We apply the time-convolutionless projection operator method (TCL) to a two-state system, a qubit, coupled to an environment consisting of two energy bands which are both populated. Monte Carlo wave-function simulations based on the unravelling of the master equation are compared to the TCL solution and the exact solution of the Schrodinger equation. A typical quantum trajectory and average time evolution of the state vector on the Bloch sphere is also presented.