Phase Diagram of the Schwinger Model by Adiabatic Preparation of States on a Quantum Simulator

• URL: http://arxiv.org/abs/2407.09224v3
• Date: Tue, 10 Dec 2024 13:11:41 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
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• 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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