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Quantum simulation of non-equilibrium dynamics and thermalization in the Schwinger model

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arxiv 2106.08394 v4 pith:SKYRTEUD submitted 2021-06-15 quant-ph hep-lathep-phnucl-th

Quantum simulation of non-equilibrium dynamics and thermalization in the Schwinger model

classification quant-ph hep-lathep-phnucl-th
keywords quantumdynamicsmodelschwingerthermalfieldequationnon-equilibrium
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We present simulations of non-equilibrium dynamics of quantum field theories on digital quantum computers. As a representative example, we consider the Schwinger model, a 1+1 dimensional U(1) gauge theory, coupled through a Yukawa-type interaction to a thermal environment described by a scalar field theory. We use the Hamiltonian formulation of the Schwinger model discretized on a spatial lattice. With the thermal scalar fields traced out, the Schwinger model can be treated as an open quantum system and its real-time dynamics are governed by a Lindblad equation in the Markovian limit. The interaction with the environment ultimately drives the system to thermal equilibrium. In the quantum Brownian motion limit, the Lindblad equation is related to a field theoretical Caldeira-Leggett equation. By using the Stinespring dilation theorem with ancillary qubits, we perform studies of both the non-equilibrium dynamics and the preparation of a thermal state in the Schwinger model using IBM's simulator and quantum devices. The real-time dynamics of field theories as open quantum systems and the thermal state preparation studied here are relevant for a variety of applications in nuclear and particle physics, quantum information and cosmology.

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Cited by 7 Pith papers

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