Open AccessAnalyzing Density Operator in Thermal State for Complicated Time-Dependent Optical Systems
Author(s) -
Jeong Ryeol Choi,
Ji Nny Song,
Yeontaek Choi
Publication year - 2014
Publication title -
advances in optics
Language(s) - English
Resource type - Journals
eISSN - 2356-6817
pISSN - 2314-7741
DOI - 10.1155/2014/141076
Subject(s) - operator (biology) , hamiltonian (control theory) , ladder operator , quantum system , displacement operator , shift operator , thermal , thermal state , statistical physics , quantum mechanics , physics , quantum , mathematics , mathematical analysis , quasinormal operator , computer science , finite rank operator , compact operator , mathematical optimization , chemistry , thermodynamics , repressor , banach space , biochemistry , transcription factor , programming language , extension (predicate logic) , gene
Density operator of oscillatory optical systems with time-dependent parameters is analyzed. In this case, a system is described by a time-dependent Hamiltonian. Invariant operator theory is introduced in order to describe time-varying behavior of the system. Due to the time dependence of parameters, the frequency of oscillation, so-called a modified frequency of the system, is somewhat different from the natural frequency. In general, density operator of a time-dependent optical system is represented in terms of the modified frequency. We showed how to determine density operator of complicated time-dependent optical systems in thermal state. Usually, density operator description of quantum states is more general than the one described in terms of the state vector
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom