Information theories for time-dependent harmonic oscillator
- Department of Mathematics, KAIST, 373-1 Guseong-dong, Yuseong-gu, Daejeon 305-701 (Korea, Republic of)
- Division of Fusion and Convergence of Mathematical Science, National Institute for Mathematical Sciences (NIMS), KT Daeduk 2 Research Center, 463-1 Jeonmin-dong, Yusung-gu, Daejeon 305-390 (Korea, Republic of)
- Laboratoire de Physique Quantique et Systemes Dynamiques, Departement de Physique, Faculte des Sciences, Universite Ferhat Abbas de Setif, Setif 19000 (Algeria)
- Department of Information Display, Sun Moon University, Asan 336-708 (Korea, Republic of)
Highlights: > Information theories for the general time-dependent harmonic oscillator based on invariant operator method. > Time dependence of entropies and entropic uncertainty relation. > Characteristics of Shannon information and Fisher information. > Application of information theories to particular systems that have time-dependent behavior. - Abstract: Information theories for the general time-dependent harmonic oscillator are described on the basis of invariant operator method. We obtained entropic uncertainty relation of the system and discussed whether it is always larger than or equal to the physically allowed minimum value. Shannon information and Fisher information are derived by means of density operator that satisfies Liouville-von Neumann equation and their characteristics are investigated. Shannon information is independent of time, but Fisher information is explicitly dependent on time as the time functions of the Hamiltonian vary. We can regard that the Fisher information is a local measure since its time behavior is largely affected by local arrangements of the density, whilst the Shannon information plays the role of a global measure of the spreading of density. To promote the understanding, our theory is applied to special systems, the so-called quantum oscillator with time-dependent frequency and strongly pulsating mass system.
- OSTI ID:
- 21579903
- Journal Information:
- Annals of Physics (New York), Vol. 326, Issue 6; Other Information: DOI: 10.1016/j.aop.2011.02.006; PII: S0003-4916(11)00035-2; Copyright (c) 2011 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; ISSN 0003-4916
- Country of Publication:
- United States
- Language:
- English
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