Higher-order kinetic expansion of quantum dissipative dynamics: Mapping quantum networks to kinetic networks
We apply a new formalism to derive the higher-order quantum kinetic expansion (QKE) for studying dissipative dynamics in a general quantum network coupled with an arbitrary thermal bath. The dynamics of system population is described by a time-convoluted kinetic equation, where the time-nonlocal rat...
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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American Institute of Physics (AIP)
2013
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| Online Access: | http://hdl.handle.net/1721.1/81984 https://orcid.org/0000-0001-7616-7809 |
| _version_ | 1826199704798494720 |
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| author | Wu, Jianlan Cao, Jianshu |
| author2 | Massachusetts Institute of Technology. Department of Chemistry |
| author_facet | Massachusetts Institute of Technology. Department of Chemistry Wu, Jianlan Cao, Jianshu |
| author_sort | Wu, Jianlan |
| collection | MIT |
| description | We apply a new formalism to derive the higher-order quantum kinetic expansion (QKE) for studying dissipative dynamics in a general quantum network coupled with an arbitrary thermal bath. The dynamics of system population is described by a time-convoluted kinetic equation, where the time-nonlocal rate kernel is systematically expanded of the order of off-diagonal elements of the system Hamiltonian. In the second order, the rate kernel recovers the expression of the noninteracting-blip approximation method. The higher-order corrections in the rate kernel account for the effects of the multi-site quantum coherence and the bath relaxation. In a quantum harmonic bath, the rate kernels of different orders are analytically derived. As demonstrated by four examples, the higher-order QKE can reliably predict quantum dissipative dynamics, comparing well with the hierarchic equation approach. More importantly, the higher-order rate kernels can distinguish and quantify distinct nontrivial quantum coherent effects, such as long-range energy transfer from quantum tunneling and quantum interference arising from the phase accumulation of interactions. |
| first_indexed | 2024-09-23T11:24:21Z |
| format | Article |
| id | mit-1721.1/81984 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T11:24:21Z |
| publishDate | 2013 |
| publisher | American Institute of Physics (AIP) |
| record_format | dspace |
| spelling | mit-1721.1/819842022-09-27T19:18:48Z Higher-order kinetic expansion of quantum dissipative dynamics: Mapping quantum networks to kinetic networks Wu, Jianlan Cao, Jianshu Massachusetts Institute of Technology. Department of Chemistry Cao, Jianshu Wu, Jianlan We apply a new formalism to derive the higher-order quantum kinetic expansion (QKE) for studying dissipative dynamics in a general quantum network coupled with an arbitrary thermal bath. The dynamics of system population is described by a time-convoluted kinetic equation, where the time-nonlocal rate kernel is systematically expanded of the order of off-diagonal elements of the system Hamiltonian. In the second order, the rate kernel recovers the expression of the noninteracting-blip approximation method. The higher-order corrections in the rate kernel account for the effects of the multi-site quantum coherence and the bath relaxation. In a quantum harmonic bath, the rate kernels of different orders are analytically derived. As demonstrated by four examples, the higher-order QKE can reliably predict quantum dissipative dynamics, comparing well with the hierarchic equation approach. More importantly, the higher-order rate kernels can distinguish and quantify distinct nontrivial quantum coherent effects, such as long-range energy transfer from quantum tunneling and quantum interference arising from the phase accumulation of interactions. National Science Foundation (U.S.) (Grant CHE-1112825) United States. Defense Advanced Research Projects Agency (Grant W911NF-07-D-004) Massachusetts Institute of Technology. Energy Frontier Research Center for Excitonics 2013-11-04T19:00:05Z 2013-11-04T19:00:05Z 2013-07 2013-03 Article http://purl.org/eprint/type/JournalArticle 00219606 1089-7690 http://hdl.handle.net/1721.1/81984 Wu, Jianlan, and Jianshu Cao. “Higher-order kinetic expansion of quantum dissipative dynamics: Mapping quantum networks to kinetic networks.” The Journal of Chemical Physics 139, no. 4 (2013): 044102. © 2013 AIP Publishing LLC https://orcid.org/0000-0001-7616-7809 en_US http://dx.doi.org/10.1063/1.4812781 The Journal of Chemical Physics 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. application/pdf American Institute of Physics (AIP) MIT web domain |
| spellingShingle | Wu, Jianlan Cao, Jianshu Higher-order kinetic expansion of quantum dissipative dynamics: Mapping quantum networks to kinetic networks |
| title | Higher-order kinetic expansion of quantum dissipative dynamics: Mapping quantum networks to kinetic networks |
| title_full | Higher-order kinetic expansion of quantum dissipative dynamics: Mapping quantum networks to kinetic networks |
| title_fullStr | Higher-order kinetic expansion of quantum dissipative dynamics: Mapping quantum networks to kinetic networks |
| title_full_unstemmed | Higher-order kinetic expansion of quantum dissipative dynamics: Mapping quantum networks to kinetic networks |
| title_short | Higher-order kinetic expansion of quantum dissipative dynamics: Mapping quantum networks to kinetic networks |
| title_sort | higher order kinetic expansion of quantum dissipative dynamics mapping quantum networks to kinetic networks |
| url | http://hdl.handle.net/1721.1/81984 https://orcid.org/0000-0001-7616-7809 |
| work_keys_str_mv | AT wujianlan higherorderkineticexpansionofquantumdissipativedynamicsmappingquantumnetworkstokineticnetworks AT caojianshu higherorderkineticexpansionofquantumdissipativedynamicsmappingquantumnetworkstokineticnetworks |