The Kitaev–Feynman clock for open quantum systems
We show that Kitaevʼs construction of Feynmanʼs clock, in which the time-evolution of a closed quantum system is encoded as a ground state problem, can be extended to open quantum systems. In our formalism, the ground states of an ensemble of non-Hermitian Kitaev–Feynman clock Hamiltonians yield sto...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2014-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/16/11/113066 |
| _version_ | 1797751463585251328 |
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| author | David G Tempel Alán Aspuru-Guzik |
| author_facet | David G Tempel Alán Aspuru-Guzik |
| author_sort | David G Tempel |
| collection | DOAJ |
| description | We show that Kitaevʼs construction of Feynmanʼs clock, in which the time-evolution of a closed quantum system is encoded as a ground state problem, can be extended to open quantum systems. In our formalism, the ground states of an ensemble of non-Hermitian Kitaev–Feynman clock Hamiltonians yield stochastic trajectories, which unravel the evolution of a Lindblad master equation. In this way, one can use the Kitaev–Feynman clock not only to simulate the evolution of a quantum system, but also its interaction with an environment such as a heat bath or measuring apparatus. A simple numerical example of a two-level atom undergoing spontaneous emission is presented and analyzed. |
| first_indexed | 2024-03-12T16:49:55Z |
| format | Article |
| id | doaj.art-c25bf82c11e746999f6abea3b4eb5144 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:49:55Z |
| publishDate | 2014-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-c25bf82c11e746999f6abea3b4eb51442023-08-08T11:25:02ZengIOP PublishingNew Journal of Physics1367-26302014-01-01161111306610.1088/1367-2630/16/11/113066The Kitaev–Feynman clock for open quantum systemsDavid G Tempel0Alán Aspuru-Guzik1Department of Chemistry and Chemical Biology, Harvard University , 12 Oxford Street, 02138, Cambridge, MA , USADepartment of Chemistry and Chemical Biology, Harvard University , 12 Oxford Street, 02138, Cambridge, MA , USAWe show that Kitaevʼs construction of Feynmanʼs clock, in which the time-evolution of a closed quantum system is encoded as a ground state problem, can be extended to open quantum systems. In our formalism, the ground states of an ensemble of non-Hermitian Kitaev–Feynman clock Hamiltonians yield stochastic trajectories, which unravel the evolution of a Lindblad master equation. In this way, one can use the Kitaev–Feynman clock not only to simulate the evolution of a quantum system, but also its interaction with an environment such as a heat bath or measuring apparatus. A simple numerical example of a two-level atom undergoing spontaneous emission is presented and analyzed.https://doi.org/10.1088/1367-2630/16/11/113066mathematical physicsquantum computationopen quantum systems |
| spellingShingle | David G Tempel Alán Aspuru-Guzik The Kitaev–Feynman clock for open quantum systems New Journal of Physics mathematical physics quantum computation open quantum systems |
| title | The Kitaev–Feynman clock for open quantum systems |
| title_full | The Kitaev–Feynman clock for open quantum systems |
| title_fullStr | The Kitaev–Feynman clock for open quantum systems |
| title_full_unstemmed | The Kitaev–Feynman clock for open quantum systems |
| title_short | The Kitaev–Feynman clock for open quantum systems |
| title_sort | kitaev feynman clock for open quantum systems |
| topic | mathematical physics quantum computation open quantum systems |
| url | https://doi.org/10.1088/1367-2630/16/11/113066 |
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