The Generalized Fibonacci Oscillator as an Open Quantum System

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2022
• Main Authors: Fagnola, Franco, Ko, Chul Ki, Yoo, Hyun Jae
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2022
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211633
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The Generalized Fibonacci Oscillator as an Open Quantum System. Franco Fagnola, Chul Ki Ko and Hyun Jae Yoo. SIGMA 18 (2022), 035, 19 pages

We consider an open quantum system with Hamiltonian ₛ whose spectrum is given by a generalized Fibonacci sequence weakly coupled to a Boson reservoir in equilibrium at inverse temperature . We find the generator of the reduced system evolution and explicitly compute the stationary state of the syste...