Pumping current in a non-Markovian N-state model
A periodically modulated N-state model whose dynamics are governed by a time-convoluted generalized master equation is theoretically analyzed. It is shown that this non-Markovian master equation can be converted to a Markovian master equation having a larger transition matrix, which affords easier a...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2021-06-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.3.023238 |
| _version_ | 1797211010773286912 |
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| author | Ville M. M. Paasonen Hisao Hayakawa |
| author_facet | Ville M. M. Paasonen Hisao Hayakawa |
| author_sort | Ville M. M. Paasonen |
| collection | DOAJ |
| description | A periodically modulated N-state model whose dynamics are governed by a time-convoluted generalized master equation is theoretically analyzed. It is shown that this non-Markovian master equation can be converted to a Markovian master equation having a larger transition matrix, which affords easier analysis. The behavior of this model is investigated by focusing on the cycle-averaged pumping current. In the adiabatic limit, the geometrical current is calculated analytically and compared with numerical results, which are available for a wide range of modulation frequencies. |
| first_indexed | 2024-04-24T10:19:42Z |
| format | Article |
| id | doaj.art-aa0b0162d1ff4037954f52773996f5cb |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:19:42Z |
| publishDate | 2021-06-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-aa0b0162d1ff4037954f52773996f5cb2024-04-12T17:11:00ZengAmerican Physical SocietyPhysical Review Research2643-15642021-06-013202323810.1103/PhysRevResearch.3.023238Pumping current in a non-Markovian N-state modelVille M. M. PaasonenHisao HayakawaA periodically modulated N-state model whose dynamics are governed by a time-convoluted generalized master equation is theoretically analyzed. It is shown that this non-Markovian master equation can be converted to a Markovian master equation having a larger transition matrix, which affords easier analysis. The behavior of this model is investigated by focusing on the cycle-averaged pumping current. In the adiabatic limit, the geometrical current is calculated analytically and compared with numerical results, which are available for a wide range of modulation frequencies.http://doi.org/10.1103/PhysRevResearch.3.023238 |
| spellingShingle | Ville M. M. Paasonen Hisao Hayakawa Pumping current in a non-Markovian N-state model Physical Review Research |
| title | Pumping current in a non-Markovian N-state model |
| title_full | Pumping current in a non-Markovian N-state model |
| title_fullStr | Pumping current in a non-Markovian N-state model |
| title_full_unstemmed | Pumping current in a non-Markovian N-state model |
| title_short | Pumping current in a non-Markovian N-state model |
| title_sort | pumping current in a non markovian n state model |
| url | http://doi.org/10.1103/PhysRevResearch.3.023238 |
| work_keys_str_mv | AT villemmpaasonen pumpingcurrentinanonmarkoviannstatemodel AT hisaohayakawa pumpingcurrentinanonmarkoviannstatemodel |