Stochastic representation of a class of non-Markovian completely positive evolutions

Statistics

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

43

Decoherence, Open Systems, Quantum Statistical Methods, Quantum Fluctuations, Quantum Noise, And Quantum Jumps, Foundations Of Quantum Mechanics, Measurement Theory, Fluctuation Phenomena, Random Processes, Noise, And Brownian Motion

Scientific paper

By modeling the interaction of an open quantum system with its environment through a natural generalization of the classical concept of continuous time random walk, we derive and characterize a class of non-Markovian master equations whose solution is a completely positive map. The structure of these master equations is associated with a random renewal process where each event consist in the application of a superoperator over a density matrix. Strong nonexponential decay arise by choosing different statistics of the renewal process. As examples we analyze the stochastic and averaged dynamics of simple systems that admit an analytical solution. The problem of positivity in quantum master equations induced by memory effects [

S. M. Barnett and S. Stenholm, Phys. Rev. A 64, 033808 (2001)
] is clarified in this context.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Stochastic representation of a class of non-Markovian completely positive evolutions 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 representation of a class of non-Markovian completely positive evolutions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stochastic representation of a class of non-Markovian completely positive evolutions will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-1461141

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.