Number-Phase Wigner Representation for Efficient Stochastic Simulations

Details Number-Phase Wigner Representation for Efficient Stochastic Simulations Number-Phase Wigner Representation for Efficient Stochastic Simulations

2009-12-18

arxiv.org/abs/0912.3581v1

Physics

Quantum Physics

7 pages, 1 figure

Scientific paper

Phase-space representations based on coherent states (P, Q, Wigner) have been successful in the creation of stochastic differential equations (SDEs) for the efficient stochastic simulation of high dimensional quantum systems. However many problems using these techniques remain intractable over long integrations times. We present a number-phase Wigner representation that can be unraveled into SDEs. We demonstrate convergence to the correct solution for an anharmonic oscillator with small dampening for significantly longer than other phase space representations. This process requires an effective sampling of a non-classical probability distribution. We describe and demonstrate a method of achieving this sampling using stochastic weights.

Affiliated with

Also associated with

No associations

Rating

Number-Phase Wigner Representation for Efficient Stochastic Simulations 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 Number-Phase Wigner Representation for Efficient Stochastic Simulations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Number-Phase Wigner Representation for Efficient Stochastic Simulations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-349111