Non-Markovian dynamics of the mixed-state geometric phase of dissipative qubits
We investigate the geometric phase of a two-level atom (qubit) coupled to a bosonic reservoir with Lorentzian spectral density and find that for the non-Markovian dynamics in which the rotating-wave approximation (RWA) is performed, the geometric phase has a π-phase jump at the nodal point. However,...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2015
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| Online Access: | http://hdl.handle.net/1721.1/92810 |
| _version_ | 1826217762477834240 |
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| author | Guo, Wei Ma, Jian Yin, Xiaolei Zhong, Wei Wang, Xiaoguang |
| author2 | Massachusetts Institute of Technology. Department of Chemistry |
| author_facet | Massachusetts Institute of Technology. Department of Chemistry Guo, Wei Ma, Jian Yin, Xiaolei Zhong, Wei Wang, Xiaoguang |
| author_sort | Guo, Wei |
| collection | MIT |
| description | We investigate the geometric phase of a two-level atom (qubit) coupled to a bosonic reservoir with Lorentzian spectral density and find that for the non-Markovian dynamics in which the rotating-wave approximation (RWA) is performed, the geometric phase has a π-phase jump at the nodal point. However, the exact result without the RWA given by the hierarchical equations of motion method shows that there is no such phase jump or nodal structure in the geometric phase. Thus our results demonstrate that the counterrotating terms significantly contribute to the geometric phase in the multimode Hamiltonian under certain circumstances. |
| first_indexed | 2024-09-23T17:08:45Z |
| format | Article |
| id | mit-1721.1/92810 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T17:08:45Z |
| publishDate | 2015 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/928102022-10-03T10:43:33Z Non-Markovian dynamics of the mixed-state geometric phase of dissipative qubits Guo, Wei Ma, Jian Yin, Xiaolei Zhong, Wei Wang, Xiaoguang Massachusetts Institute of Technology. Department of Chemistry Ma, Jian We investigate the geometric phase of a two-level atom (qubit) coupled to a bosonic reservoir with Lorentzian spectral density and find that for the non-Markovian dynamics in which the rotating-wave approximation (RWA) is performed, the geometric phase has a π-phase jump at the nodal point. However, the exact result without the RWA given by the hierarchical equations of motion method shows that there is no such phase jump or nodal structure in the geometric phase. Thus our results demonstrate that the counterrotating terms significantly contribute to the geometric phase in the multimode Hamiltonian under certain circumstances. NFRPC (Grant 2012CB921602) National Natural Science Foundation (China) (Grant 11475146) 2015-01-13T13:29:25Z 2015-01-13T13:29:25Z 2014-12 2014-07 2014-12-29T23:00:05Z Article http://purl.org/eprint/type/JournalArticle 1050-2947 1094-1622 http://hdl.handle.net/1721.1/92810 Guo, Wei, Jian Ma, Xiaolei Yin, Wei Zhong, and Xiaoguang Wang. "Non-Markovian dynamics of the mixed-state geometric phase of dissipative qubits." Phys. Rev. A 90, 062133 (December 2014). © 2014 American Physical Society en http://dx.doi.org/10.1103/PhysRevA.90.062133 Physical Review A Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. American Physical Society application/pdf American Physical Society American Physical Society |
| spellingShingle | Guo, Wei Ma, Jian Yin, Xiaolei Zhong, Wei Wang, Xiaoguang Non-Markovian dynamics of the mixed-state geometric phase of dissipative qubits |
| title | Non-Markovian dynamics of the mixed-state geometric phase of dissipative qubits |
| title_full | Non-Markovian dynamics of the mixed-state geometric phase of dissipative qubits |
| title_fullStr | Non-Markovian dynamics of the mixed-state geometric phase of dissipative qubits |
| title_full_unstemmed | Non-Markovian dynamics of the mixed-state geometric phase of dissipative qubits |
| title_short | Non-Markovian dynamics of the mixed-state geometric phase of dissipative qubits |
| title_sort | non markovian dynamics of the mixed state geometric phase of dissipative qubits |
| url | http://hdl.handle.net/1721.1/92810 |
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