Exact solution to quantum dynamical activity
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Acceso en línea: | |
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| _version_ | 1866910398794432512 |
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| author | Nishiyama, Tomohiro Hasegawa, Yoshihiko |
| author_facet | Nishiyama, Tomohiro Hasegawa, Yoshihiko |
| contents | The quantum dynamical activity constitutes a thermodynamic cost in trade-off relations such as the quantum speed limit and the quantum thermodynamic uncertainty relation. However, calculating the quantum dynamical activity has been a challenge. In this paper, we present the exact solution for the quantum dynamical activity by deploying the continuous matrix product state method. Moreover, using the derived exact solution, we determine the upper bound of the dynamical activity, which comprises the standard deviation of the system Hamiltonian and jump operators. We confirm the exact solution and the upper bound by performing numerical simulations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_12627 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Exact solution to quantum dynamical activity Nishiyama, Tomohiro Hasegawa, Yoshihiko Quantum Physics Statistical Mechanics The quantum dynamical activity constitutes a thermodynamic cost in trade-off relations such as the quantum speed limit and the quantum thermodynamic uncertainty relation. However, calculating the quantum dynamical activity has been a challenge. In this paper, we present the exact solution for the quantum dynamical activity by deploying the continuous matrix product state method. Moreover, using the derived exact solution, we determine the upper bound of the dynamical activity, which comprises the standard deviation of the system Hamiltonian and jump operators. We confirm the exact solution and the upper bound by performing numerical simulations. |
| title | Exact solution to quantum dynamical activity |
| topic | Quantum Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2311.12627 |