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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.09224 |
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| _version_ | 1866929622400106496 |
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| author | Kaikov, Oleg Saporiti, Theo Sazonov, Vasily Tamaazousti, Mohamed |
| author_facet | Kaikov, Oleg Saporiti, Theo Sazonov, Vasily Tamaazousti, Mohamed |
| contents | We argue the feasibility to study the phase structure of a quantum physical system on quantum devices via adiabatic preparation of states. We introduce a novel method and successfully test it in application to the Schwinger model in the presence of a topological $θ$-term. We explore the first-order-phase-transition and the no-transition regions of the corresponding phase diagram. The core idea of the method is to separately evolve the ground and the first excited states with a time-dependent Hamiltonian, the time-dependence of which interpolates between different values of $θ$. Despite our approach being a direct application of the adiabatic theorem, in some cases we are able to demonstrate its advantages in comparison to a different method from the literature that also employs adiabatic state preparation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_09224 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Phase Diagram of the Schwinger Model by Adiabatic Preparation of States on a Quantum Simulator Kaikov, Oleg Saporiti, Theo Sazonov, Vasily Tamaazousti, Mohamed High Energy Physics - Lattice Quantum Physics We argue the feasibility to study the phase structure of a quantum physical system on quantum devices via adiabatic preparation of states. We introduce a novel method and successfully test it in application to the Schwinger model in the presence of a topological $θ$-term. We explore the first-order-phase-transition and the no-transition regions of the corresponding phase diagram. The core idea of the method is to separately evolve the ground and the first excited states with a time-dependent Hamiltonian, the time-dependence of which interpolates between different values of $θ$. Despite our approach being a direct application of the adiabatic theorem, in some cases we are able to demonstrate its advantages in comparison to a different method from the literature that also employs adiabatic state preparation. |
| title | Phase Diagram of the Schwinger Model by Adiabatic Preparation of States on a Quantum Simulator |
| topic | High Energy Physics - Lattice Quantum Physics |
| url | https://arxiv.org/abs/2407.09224 |