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Keywords = JC-algebras

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11 pages, 280 KiB  
Article
Product States of Infinite Tensor Product of JC-algebras
by Fatmah B. Jamjoom and Fadwa M. Algamdei
Axioms 2024, 13(3), 205; https://doi.org/10.3390/axioms13030205 - 18 Mar 2024
Viewed by 1506
Abstract
The objective of our study is to generalize the results on product states of the tensor product of two JC-algebras to infinite tensor product JC-algebras. Also, we characterize the tracial product state of the tensor product of two JC-algebras, and the tracial product [...] Read more.
The objective of our study is to generalize the results on product states of the tensor product of two JC-algebras to infinite tensor product JC-algebras. Also, we characterize the tracial product state of the tensor product of two JC-algebras, and the tracial product state of infinite tensor products of JC-algebras. Full article
15 pages, 3331 KiB  
Article
Approximate Evolution for A Hybrid System—An Optomechanical Jaynes-Cummings Model
by Luis Medina-Dozal, Irán Ramos-Prieto and José Récamier
Entropy 2020, 22(12), 1373; https://doi.org/10.3390/e22121373 - 5 Dec 2020
Cited by 5 | Viewed by 3230
Abstract
In this work, we start from a phenomenological Hamiltonian built from two known systems: the Hamiltonian of a pumped optomechanical system and the Jaynes-Cummings Hamiltonian. Using algebraic techniques we construct an approximate time evolution operator U^(t) for the forced [...] Read more.
In this work, we start from a phenomenological Hamiltonian built from two known systems: the Hamiltonian of a pumped optomechanical system and the Jaynes-Cummings Hamiltonian. Using algebraic techniques we construct an approximate time evolution operator U^(t) for the forced optomechanical system (as a product of exponentials) and take the JC Hamiltonian as an interaction. We transform the later with U^(t) to obtain a generalized interaction picture Hamiltonian which can be linearized and whose time evolution operator is written in a product form. The analytic results are compared with purely numerical calculations using the full Hamiltonian and the agreement between them is remarkable. Full article
(This article belongs to the Special Issue Quantum Mechanics and Its Foundations)
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