2012/09/27 by N. Buric, Nikola Burić, I. Mendaš +7
Computer Science · Mathematics · Physics and Astronomy · #Computer science #Hamiltonian (control theory) #Hamiltonian system #Hybrid system #Mathematical optimization #Mathematical physics #Mathematics #Mechanical and Optical Resonators #Phase space #Physics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum mechanics #Statistical physics #quant-ph
paper · pdf · doi:10.1103/physreva.86.034104
published as Phys.Rev.A vol. 86, 034104 (2012) Phys.Rev.A (Vol.86, No.3):034104 · This is the published version of the paper with an added note with an observation made after the paper was accepted. The main conclusions are as in the published version but the final formula is considerably simplifed
arxiv created 2012/09/27 · openalex publication_date 2012/09/27 · arxiv updated 2012/09/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
General statistical ensembles in the Hamiltonian formulation of hybrid quantum-classical systems are analyzed. It is argued that arbitrary probability densities on the hybrid phase space must be considered as the class of possible physically distinguishable statistical ensembles of hybrid systems. Nevertheless, statistical operators associated with the hybrid system and with the quantum subsystem can be consistently defined. Dynamical equations for the statistical operators representing the mixed states of the hybrid system and its quantum subsystem are derived and analyzed. In particular, these equations irreducibly depend on the total probability density on the hybrid phase space.