TY - JOUR
T1 - Number-phase wigner representation for efficient stochastic simulations
AU - Hush, M. R.
AU - Carvalho, A. R.R.
AU - Hope, J. J.
PY - 2010/3/31
Y1 - 2010/3/31
N2 - 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 integration 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 nonclassical probability distribution. We describe and demonstrate a method of achieving this sampling using stochastic weights.
AB - 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 integration 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 nonclassical probability distribution. We describe and demonstrate a method of achieving this sampling using stochastic weights.
UR - http://www.scopus.com/inward/record.url?scp=77950455501&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.81.033852
DO - 10.1103/PhysRevA.81.033852
M3 - Article
SN - 1050-2947
VL - 81
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 3
M1 - 033852
ER -