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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2305.17097 |
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| _version_ | 1866910324984119296 |
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| author | Shi, Boyuan Mintert, Florian |
| author_facet | Shi, Boyuan Mintert, Florian |
| contents | Existing approaches to analogue quantum simulations of time-dependent quantum systems rely on perturbative corrections to quantum simulations of time-independent quantum systems. We overcome this restriction to perturbative treatments with an approach based on flow equations and a multi-mode Fourier expansion. The potential of the quantum simulations that can be achieved with our approach is demonstrated with the pedagogical example of a Lambda-system and the quench in finite time through a quantum phase transition of a Chern insulator in a driven non-interacting Hubbard system. The example of the Lambda-system demonstrates the ability of our approach to describe situations beyond the validity of adiabatic approximations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_17097 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Quantum simulations of time-dependent Hamiltonians beyond the quasi-static approximation Shi, Boyuan Mintert, Florian Quantum Physics Existing approaches to analogue quantum simulations of time-dependent quantum systems rely on perturbative corrections to quantum simulations of time-independent quantum systems. We overcome this restriction to perturbative treatments with an approach based on flow equations and a multi-mode Fourier expansion. The potential of the quantum simulations that can be achieved with our approach is demonstrated with the pedagogical example of a Lambda-system and the quench in finite time through a quantum phase transition of a Chern insulator in a driven non-interacting Hubbard system. The example of the Lambda-system demonstrates the ability of our approach to describe situations beyond the validity of adiabatic approximations. |
| title | Quantum simulations of time-dependent Hamiltonians beyond the quasi-static approximation |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2305.17097 |