Davydov-Ansatz for Landau-Zener-Stueckelberg-Majorana transitions in an environment : tuning the survival probability via number state excitation
We theoretically investigate transitions in a two-level system, which are induced by a sweep through an avoided crossing in the presence of coupling to a single, excited bosonic mode. This allows us to propose an initial number-state bosonic excitation as a new possible control parameter for the sur...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2019
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/85377 http://hdl.handle.net/10220/49217 |
| _version_ | 1811695468633128960 |
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| author | Werther, Michael Grossmann, Frank Huang, Zhongkai Zhao, Yang |
| author2 | School of Materials Science & Engineering |
| author_facet | School of Materials Science & Engineering Werther, Michael Grossmann, Frank Huang, Zhongkai Zhao, Yang |
| author_sort | Werther, Michael |
| collection | NTU |
| description | We theoretically investigate transitions in a two-level system, which are induced by a sweep through an avoided crossing in the presence of coupling to a single, excited bosonic mode. This allows us to propose an initial number-state bosonic excitation as a new possible control parameter for the survival probability at long times. The expansion of number states in terms of coherent states centered around points on a circle in phase space makes a multi-Davydov-Ansatz the method of choice to perform the required numerical calculations. It is revealed that the starting time of the transition greatly affects the final transition probabilities. In addition, we found that the mixing angle, which is tuning between the diagonal and off-diagonal coupling, is decisive for the ability to control the transition via number state excitation. For a mixing angle of π/4, we found the maximal effect of number state excitation on the transition probability. |
| first_indexed | 2024-10-01T07:23:57Z |
| format | Journal Article |
| id | ntu-10356/85377 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T07:23:57Z |
| publishDate | 2019 |
| record_format | dspace |
| spelling | ntu-10356/853772023-07-14T15:50:59Z Davydov-Ansatz for Landau-Zener-Stueckelberg-Majorana transitions in an environment : tuning the survival probability via number state excitation Werther, Michael Grossmann, Frank Huang, Zhongkai Zhao, Yang School of Materials Science & Engineering Open Quantum Systems Engineering::Materials Time-dependent Schrodinger Equation We theoretically investigate transitions in a two-level system, which are induced by a sweep through an avoided crossing in the presence of coupling to a single, excited bosonic mode. This allows us to propose an initial number-state bosonic excitation as a new possible control parameter for the survival probability at long times. The expansion of number states in terms of coherent states centered around points on a circle in phase space makes a multi-Davydov-Ansatz the method of choice to perform the required numerical calculations. It is revealed that the starting time of the transition greatly affects the final transition probabilities. In addition, we found that the mixing angle, which is tuning between the diagonal and off-diagonal coupling, is decisive for the ability to control the transition via number state excitation. For a mixing angle of π/4, we found the maximal effect of number state excitation on the transition probability. Published version 2019-07-09T08:06:09Z 2019-12-06T16:02:44Z 2019-07-09T08:06:09Z 2019-12-06T16:02:44Z 2019 Journal Article Werther, M., Grossmann, F., Huang, Z., & Zhao, Y. (2019). Davydov-Ansatz for Landau-Zener-Stueckelberg-Majorana transitions in an environment : tuning the survival probability via number state excitation. The Journal of Chemical Physics, 150(23), 234109-. doi:10.1063/1.5096158 0021-9606 https://hdl.handle.net/10356/85377 http://hdl.handle.net/10220/49217 10.1063/1.5096158 en The Journal of Chemical Physics © 2019 The Author(s). All rights reserved. This paper was published by AIP Publishing in The Journal of Chemical Physics and is made available with permission of The Author(s). 10 p. application/pdf |
| spellingShingle | Open Quantum Systems Engineering::Materials Time-dependent Schrodinger Equation Werther, Michael Grossmann, Frank Huang, Zhongkai Zhao, Yang Davydov-Ansatz for Landau-Zener-Stueckelberg-Majorana transitions in an environment : tuning the survival probability via number state excitation |
| title | Davydov-Ansatz for Landau-Zener-Stueckelberg-Majorana transitions in an environment : tuning the survival probability via number state excitation |
| title_full | Davydov-Ansatz for Landau-Zener-Stueckelberg-Majorana transitions in an environment : tuning the survival probability via number state excitation |
| title_fullStr | Davydov-Ansatz for Landau-Zener-Stueckelberg-Majorana transitions in an environment : tuning the survival probability via number state excitation |
| title_full_unstemmed | Davydov-Ansatz for Landau-Zener-Stueckelberg-Majorana transitions in an environment : tuning the survival probability via number state excitation |
| title_short | Davydov-Ansatz for Landau-Zener-Stueckelberg-Majorana transitions in an environment : tuning the survival probability via number state excitation |
| title_sort | davydov ansatz for landau zener stueckelberg majorana transitions in an environment tuning the survival probability via number state excitation |
| topic | Open Quantum Systems Engineering::Materials Time-dependent Schrodinger Equation |
| url | https://hdl.handle.net/10356/85377 http://hdl.handle.net/10220/49217 |
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