Quantum Dynamics with Stochastic Non-Hermitian Hamiltonians
Fuente:
arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866911043181084672 |
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| author | Martinez-Azcona, Pablo Kundu, Aritra Saxena, Avadh del Campo, Adolfo Chenu, Aurelia |
| author_facet | Martinez-Azcona, Pablo Kundu, Aritra Saxena, Avadh del Campo, Adolfo Chenu, Aurelia |
| contents | We study the quantum dynamics generated by a non-Hermitian Hamiltonian subject to stochastic perturbations in its anti-Hermitian part, describing fluctuating gains and losses. The dynamics averaged over the noise is described by an `anti-dephasing' master equation. We characterize the resulting state evolution and analyze its purity. The properties of such dynamics are illustrated in a stochastic dissipative qubit. Our analytical results show that adding noise allows for a rich control of the dynamics, stabilizing the lossy state and making state purification possible to a greater variety of steady states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_07746 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum Dynamics with Stochastic Non-Hermitian Hamiltonians Martinez-Azcona, Pablo Kundu, Aritra Saxena, Avadh del Campo, Adolfo Chenu, Aurelia Quantum Physics Statistical Mechanics We study the quantum dynamics generated by a non-Hermitian Hamiltonian subject to stochastic perturbations in its anti-Hermitian part, describing fluctuating gains and losses. The dynamics averaged over the noise is described by an `anti-dephasing' master equation. We characterize the resulting state evolution and analyze its purity. The properties of such dynamics are illustrated in a stochastic dissipative qubit. Our analytical results show that adding noise allows for a rich control of the dynamics, stabilizing the lossy state and making state purification possible to a greater variety of steady states. |
| title | Quantum Dynamics with Stochastic Non-Hermitian Hamiltonians |
| topic | Quantum Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2407.07746 |