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Stochastic unravelings of non-Markovian completely positive and trace-preserving maps
- Source :
- Physical Review A
- Publication Year :
- 2018
-
Abstract
- We consider open quantum systems with factorized initial states, providing the structure of the reduced system dynamics, in terms of environment cumulants. We show that such completely positive (CP) and trace-preserving (TP) maps can be unraveled by linear stochastic Schr\"odinger equations (SSEs) characterized by sets of colored stochastic processes (with $n\mathrm{th}$-order cumulants). We obtain both the conditions such that the SSEs provide CPTP dynamics and those for unraveling an open system dynamics. We then focus on Gaussian non-Markovian unravelings, whose known structure displays a functional derivative. We provide a description that replaces the functional derivative with a recursive operatorial structure. Moreover, for the family of quadratic bosonic Hamiltonians, we are able to provide an explicit operatorial dependence for the unraveling.
- Subjects :
- Physics
Quantum Physics
Stochastic process
Gaussian
Markov process
FOS: Physical sciences
01 natural sciences
Open system (systems theory)
non-Markovian
010305 fluids & plasmas
System dynamics
symbols.namesake
Quadratic equation
0103 physical sciences
symbols
Functional derivative
Statistical physics
010306 general physics
Quantum Physics (quant-ph)
Quantum
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- Physical Review A
- Accession number :
- edsair.doi.dedup.....da42df735c4d30e2cf75a95ab26c666e