Average quantum dynamics of closed systems over stochastic Hamiltonians
Abstract We develop a formally exact master equation to describe the evolution of the average density matrix of a closed quantum system driven by a stochastic Hamiltonian. The average over stochastic processes generally results in decoherence effects in closed system dynamics, in addition to the uni...
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| Format: | Article |
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Nature Portfolio
2025-08-01
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| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-025-14825-z |
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| author | Li Yu Daniel F. V. James |
| author_facet | Li Yu Daniel F. V. James |
| author_sort | Li Yu |
| collection | DOAJ |
| description | Abstract We develop a formally exact master equation to describe the evolution of the average density matrix of a closed quantum system driven by a stochastic Hamiltonian. The average over stochastic processes generally results in decoherence effects in closed system dynamics, in addition to the unitary evolution. We then show that, for an important class of problems in which the Hamiltonian is proportional to a Gaussian random process, the 2nd-order master equation yields exact dynamics. The general formalism is applied to study the examples of a two-level system, two atoms in a stochastic magnetic field and the heating of a trapped ion, where we find phenomena such as decoherence-induced disentanglement. |
| format | Article |
| id | doaj-art-815c829084cb4661bbd0e3825e51d85a |
| institution | Kabale University |
| issn | 2045-2322 |
| language | English |
| publishDate | 2025-08-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj-art-815c829084cb4661bbd0e3825e51d85a2025-08-24T11:17:27ZengNature PortfolioScientific Reports2045-23222025-08-0115111210.1038/s41598-025-14825-zAverage quantum dynamics of closed systems over stochastic HamiltoniansLi Yu0Daniel F. V. James1Department of Physics, University of TorontoDepartment of Physics, University of TorontoAbstract We develop a formally exact master equation to describe the evolution of the average density matrix of a closed quantum system driven by a stochastic Hamiltonian. The average over stochastic processes generally results in decoherence effects in closed system dynamics, in addition to the unitary evolution. We then show that, for an important class of problems in which the Hamiltonian is proportional to a Gaussian random process, the 2nd-order master equation yields exact dynamics. The general formalism is applied to study the examples of a two-level system, two atoms in a stochastic magnetic field and the heating of a trapped ion, where we find phenomena such as decoherence-induced disentanglement.https://doi.org/10.1038/s41598-025-14825-z |
| spellingShingle | Li Yu Daniel F. V. James Average quantum dynamics of closed systems over stochastic Hamiltonians Scientific Reports |
| title | Average quantum dynamics of closed systems over stochastic Hamiltonians |
| title_full | Average quantum dynamics of closed systems over stochastic Hamiltonians |
| title_fullStr | Average quantum dynamics of closed systems over stochastic Hamiltonians |
| title_full_unstemmed | Average quantum dynamics of closed systems over stochastic Hamiltonians |
| title_short | Average quantum dynamics of closed systems over stochastic Hamiltonians |
| title_sort | average quantum dynamics of closed systems over stochastic hamiltonians |
| url | https://doi.org/10.1038/s41598-025-14825-z |
| work_keys_str_mv | AT liyu averagequantumdynamicsofclosedsystemsoverstochastichamiltonians AT danielfvjames averagequantumdynamicsofclosedsystemsoverstochastichamiltonians |