Physics – Quantum Physics
Scientific paper
2010-05-03
Phys. Rev. E 82, 026706 (2010)
Physics
Quantum Physics
21 pages, 9 figures; v2: corresponds to published version
Scientific paper
10.1103/PhysRevE.82.026706
We develop a Monte Carlo wave function algorithm for the quantum linear Boltzmann equation, a Markovian master equation describing the quantum motion of a test particle interacting with the particles of an environmental background gas. The algorithm leads to a numerically efficient stochastic simulation procedure for the most general form of this integro-differential equation, which involves a five-dimensional integral over microscopically defined scattering amplitudes that account for the gas interactions in a non-perturbative fashion. The simulation technique is used to assess various limiting forms of the quantum linear Boltzmann equation, such as the limits of pure collisional decoherence and quantum Brownian motion, the Born approximation and the classical limit. Moreover, we extend the method to allow for the simulation of the dissipative and decohering dynamics of superpositions of spatially localized wave packets, which enables the study of many physically relevant quantum phenomena, occurring e.g. in the interferometry of massive particles.
Breuer Heinz-Peter
Busse Marc
Hornberger Klaus
Pietrulewicz Piotr
No associations
LandOfFree
Stochastic simulation algorithm for the quantum linear Boltzmann equation 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 Stochastic simulation algorithm for the quantum linear Boltzmann equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stochastic simulation algorithm for the quantum linear Boltzmann equation will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-659109