Quantum Computation of Phase Transition in the Massive Schwinger Model

As pointed out by Coleman, physical quantities in the Schwinger model depend on a parameter $θ$ that determines the background electric field. There is a phase transition for $θ= π$ only. We develop a momentum space formalism on a lattice and use it to perform a quantum computation of the critical point of this phase transition on the NISQ device IMB Q Lima. After error mitigation, our results give strong indication of the existence of a critical point at $m/e\simeq 0.32$, where $m$ is the bare fermion mass and $e$ is the coupling strength, in good agreement with the classical numerical result $m/e \simeq 0.3335$.

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