Quantum Computation of Phase Transition in the Massive Schwinger Model

Abstract

As pointed out by Coleman, physical quantities in the Schwinger model depend on a parameter $\theta$ that determines the background electric field. There is a phase transition for $\theta =\pi$ 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 $m/e\simeq 0.3335$.

22 pages, 17 figures

References in corpus (2)

• Critical behavior of lattice Schwinger model with topological term at $\theta =\pi$ using Grassmann tensor renormalization group
• Massive Schwinger model at finite $\theta$

Cited by in corpus (7)

• Preparations for Quantum Simulations of Quantum Chromodynamics in 1+1 Dimensions: (I) Axial Gauge
• Preparations for Quantum Simulations of Quantum Chromodynamics in 1+1 Dimensions: (II) Single-Baryon $\beta$-Decay in Real Time
• State Preparation in the Heisenberg Model through Adiabatic Spiraling
• Quantum Simulation of the N flavor Gross-Neveu Model
• Preparation for Quantum Simulation of the 1+1D O(3) Non-linear σ-Model using Cold Atoms
• Synthetic U(1) Gauge Invariance in a Spin-1 Bose Gas
• Quantum simulation of quantum mechanical system with spatial noncommutativity