2018/04/30 by Giulio Gasbarri, Luca Ferialdi · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Applied mathematics #Cumulant #Gaussian #Geometry #Markov process #Mathematics #Order (exchange) #Physics #Pure mathematics #Quadratic equation #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum mechanics #Spectroscopy and Quantum Chemical Studies #Statistical physics #TRACE (psycholinguistics) #quant-ph
paper · pdf · doi:10.1103/physreva.98.042111
published as Phys. Rev. A 98, 042111 (2018)
openalex publication_date 2018/10/08 · arxiv created 2018/10/10 · arxiv updated 2018/10/11 · openalex created_date 2018/10/26 · openalex updated_date 2026/08/05
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 nth-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.