Lindblad superoperators from Wigner’s phase space continuity equation
For a simple quantum system weakly interacting with the environment, Wigner’s 1932 formulation of quantum physics can be used to derive coupling to the environment using simple algebra. We show that the correct expressions, using coupling terms of “Lindblad form,” are forced upon us. This is remarka...
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| Format: | Article |
| Language: | English |
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AIP Publishing LLC
2025-01-01
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| Series: | AIP Advances |
| Online Access: | http://dx.doi.org/10.1063/5.0244814 |
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| _version_ | 1832542797913128960 |
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| author | Ole Steuernagel Ray-Kuang Lee |
| author_facet | Ole Steuernagel Ray-Kuang Lee |
| author_sort | Ole Steuernagel |
| collection | DOAJ |
| description | For a simple quantum system weakly interacting with the environment, Wigner’s 1932 formulation of quantum physics can be used to derive coupling to the environment using simple algebra. We show that the correct expressions, using coupling terms of “Lindblad form,” are forced upon us. This is remarkable given that it took several decades before Lindblad’s result was found in 1976. |
| format | Article |
| id | doaj-art-dbdd4dc2c02c4d5ea11439c5ad7a514c |
| institution | Kabale University |
| issn | 2158-3226 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | AIP Publishing LLC |
| record_format | Article |
| series | AIP Advances |
| spelling | doaj-art-dbdd4dc2c02c4d5ea11439c5ad7a514c2025-02-03T16:40:41ZengAIP Publishing LLCAIP Advances2158-32262025-01-01151015009015009-610.1063/5.0244814Lindblad superoperators from Wigner’s phase space continuity equationOle Steuernagel0Ray-Kuang Lee1Institute of Photonics Technologies, National Tsing Hua University, Hsinchu 30013, TaiwanInstitute of Photonics Technologies, National Tsing Hua University, Hsinchu 30013, TaiwanFor a simple quantum system weakly interacting with the environment, Wigner’s 1932 formulation of quantum physics can be used to derive coupling to the environment using simple algebra. We show that the correct expressions, using coupling terms of “Lindblad form,” are forced upon us. This is remarkable given that it took several decades before Lindblad’s result was found in 1976.http://dx.doi.org/10.1063/5.0244814 |
| spellingShingle | Ole Steuernagel Ray-Kuang Lee Lindblad superoperators from Wigner’s phase space continuity equation AIP Advances |
| title | Lindblad superoperators from Wigner’s phase space continuity equation |
| title_full | Lindblad superoperators from Wigner’s phase space continuity equation |
| title_fullStr | Lindblad superoperators from Wigner’s phase space continuity equation |
| title_full_unstemmed | Lindblad superoperators from Wigner’s phase space continuity equation |
| title_short | Lindblad superoperators from Wigner’s phase space continuity equation |
| title_sort | lindblad superoperators from wigner s phase space continuity equation |
| url | http://dx.doi.org/10.1063/5.0244814 |
| work_keys_str_mv | AT olesteuernagel lindbladsuperoperatorsfromwignersphasespacecontinuityequation AT raykuanglee lindbladsuperoperatorsfromwignersphasespacecontinuityequation |