2014/05/31 by Marco G. Genoni, M. G. Genoni, Stefano Mancini +1
Chemistry · Computer Science · Engineering · Mathematics · Physics and Astronomy · #Chemistry #Computer science #Eigenvalues and eigenvectors #Hermitian matrix #Master equation #Mathematics #Measure (data warehouse) #Mechanical and Optical Resonators #Open quantum system #Operator (biology) #POVM #Photonic and Optical Devices #Physics #Quantum #Quantum Information and Cryptography #Quantum master equation #Quantum mechanics #Quantum operation #Statistical physics #quant-ph
paper · pdf · doi:10.1134/s1061920814030054
published as Russian Journal of Mathematical Physics 21, 329 (2014) - Special Issue dedicated to Viacheslav Belavkin · 6 pages, 1 figure; v2: published version in "Russian Journal of Mathematical Physics - Special Issue dedicated to Viacheslav Belavkin"; Ref. [19] added in the arXiv version but missing in the journal version
openalex publication_date 2014/07/01 · arxiv created 2014/09/08 · arxiv updated 2014/09/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We analyze the unravelling of the quantum optical master equation at finite temperature due to direct, continuous, general-dyne detection of the environment. We first express the general-dyne Positive Operator Valued Measure (POVM) in terms of the eigenstates of a non-Hermitian operator associated to the general-dyne measurement. Then we derive the stochastic master equation obtained by considering the interaction between the system and a reservoir at thermal equilibrium, which is measured according to the POVM previously determined. Finally, we present a feasible measurement scheme, which reproduces general-dyne detection for any value of the parameter characterizing the stochastic master equation.