The Generalized Fibonacci Oscillator as an Open Quantum System
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...
Збережено в:
| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2022 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2022
|
| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/211633 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | The Generalized Fibonacci Oscillator as an Open Quantum System. Franco Fagnola, Chul Ki Ko and Hyun Jae Yoo. SIGMA 18 (2022), 035, 19 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862727496639709184 |
|---|---|
| author | Fagnola, Franco Ko, Chul Ki Yoo, Hyun Jae |
| author_facet | Fagnola, Franco Ko, Chul Ki Yoo, Hyun Jae |
| citation_txt | The Generalized Fibonacci Oscillator as an Open Quantum System. Franco Fagnola, Chul Ki Ko and Hyun Jae Yoo. SIGMA 18 (2022), 035, 19 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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 system, which turns out to be unique and faithful, in terms of the parameters of the model. If the system Hamiltonian is generic, we show that convergence towards the invariant state is exponentially fast and compute explicitly the spectral gap for low temperatures, when quantum features of the system are more significant, under an additional assumption on the spectrum of ₛ.
|
| first_indexed | 2026-03-21T10:37:46Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211633 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-21T10:37:46Z |
| publishDate | 2022 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Fagnola, Franco Ko, Chul Ki Yoo, Hyun Jae 2026-01-07T13:42:24Z 2022 The Generalized Fibonacci Oscillator as an Open Quantum System. Franco Fagnola, Chul Ki Ko and Hyun Jae Yoo. SIGMA 18 (2022), 035, 19 pages 1815-0659 2020 Mathematics Subject Classification: 81S22; 81S05; 60J80 arXiv:2202.02196 https://nasplib.isofts.kiev.ua/handle/123456789/211633 https://doi.org/10.3842/SIGMA.2022.035 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 system, which turns out to be unique and faithful, in terms of the parameters of the model. If the system Hamiltonian is generic, we show that convergence towards the invariant state is exponentially fast and compute explicitly the spectral gap for low temperatures, when quantum features of the system are more significant, under an additional assumption on the spectrum of ₛ. The work of HJY was supported by the National Research Foundation of Korea (NRF) grant funded by the Korean government (MSIT) (no. 2020R1F1A101075). FF is a member of GNAMPA-INdAM Italy. FF first met Michael Schurmann at the conference Quantum Probability and Applications III held in Oberwolfach, January 25–31, 1987, organized by their respective advisors, Professors Luigi Accardi and Wilhelm von Waldenfels [30]. Over most of these years, he has had the pleasure of meeting him at the annual QP conferences, which nowadays reach the number 42, visiting him in Greifswald, exchanging views, and following reports on his scientific work. He would like to congratulate Michael on his retirement and wish him endless happy days with his friends and family. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications The Generalized Fibonacci Oscillator as an Open Quantum System Article published earlier |
| spellingShingle | The Generalized Fibonacci Oscillator as an Open Quantum System Fagnola, Franco Ko, Chul Ki Yoo, Hyun Jae |
| title | The Generalized Fibonacci Oscillator as an Open Quantum System |
| title_full | The Generalized Fibonacci Oscillator as an Open Quantum System |
| title_fullStr | The Generalized Fibonacci Oscillator as an Open Quantum System |
| title_full_unstemmed | The Generalized Fibonacci Oscillator as an Open Quantum System |
| title_short | The Generalized Fibonacci Oscillator as an Open Quantum System |
| title_sort | generalized fibonacci oscillator as an open quantum system |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211633 |
| work_keys_str_mv | AT fagnolafranco thegeneralizedfibonaccioscillatorasanopenquantumsystem AT kochulki thegeneralizedfibonaccioscillatorasanopenquantumsystem AT yoohyunjae thegeneralizedfibonaccioscillatorasanopenquantumsystem AT fagnolafranco generalizedfibonaccioscillatorasanopenquantumsystem AT kochulki generalizedfibonaccioscillatorasanopenquantumsystem AT yoohyunjae generalizedfibonaccioscillatorasanopenquantumsystem |