Stochastic unravelings of non-Markovian completely positive and trace-preserving maps
| Autor: | Giulio Gasbarri, Luca Ferialdi |
|---|---|
| Přispěvatelé: | Gasbarri, G, Ferialdi, L |
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
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 |
| Zdroj: | Physical Review A |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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