Phase Diagram of the Schwinger Model by Adiabatic Preparation of States on a Quantum Simulator
- URL: http://arxiv.org/abs/2407.09224v2
- Date: Tue, 6 Aug 2024 12:48:38 GMT
- Title: Phase Diagram of the Schwinger Model by Adiabatic Preparation of States on a Quantum Simulator
- Authors: Oleg Kaikov, Theo Saporiti, Vasily Sazonov, Mohamed Tamaazousti,
- Abstract summary: 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 $theta$-term.
- Score: 6.2210196243454075
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: 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 $\theta$-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 $\theta$. 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.
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