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Quantum Simulation of Chiral Phase Transitions

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arxiv 2112.03944 v2 pith:PGQ5GFER submitted 2021-12-07 hep-ph hep-exhep-latnucl-thquant-ph

Quantum Simulation of Chiral Phase Transitions

classification hep-ph hep-exhep-latnucl-thquant-ph
keywords quantumfinitesimulationchemicalchiralfieldmodelphase
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The Nambu-Jona-Lasinio (NJL) model has been widely studied for investigating the chiral phase structure of strongly interacting matter. The study of the thermodynamics of field theories within the framework of Lattice Field Theory is limited by the sign problem, which prevents Monte Carlo evaluation of the functional integral at a finite chemical potential. Using the quantum imaginary time evolution (QITE) algorithm, we construct a quantum simulation for the $(1+1)$ dimensional NJL model at finite temperature and finite chemical potential. We observe consistency among digital quantum simulation, exact diagonalization, and analytical solution, indicating further applications of quantum computing in simulating QCD thermodynamics.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Gauge-invariant QMETTS with mutually unbiased physical bases for $Z_2$ lattice gauge theories at finite temperature and density

    quant-ph 2026-03 conditional novelty 7.0

    Introduces gauge-invariant QMETTS using mutually unbiased physical bases derived from stabilizer formalism for Z2 LGT at finite T and density, with single-shot sampling shown near-optimal and numerical validation in 1+1D.

  2. Quantum dynamics of cosmological particle production: interacting quantum field theories with matrix product states

    hep-th 2026-01 unverdicted novelty 7.0

    Self-interactions in scalar and gauge theories suppress gravitational particle production in a quench modeling cosmic expansion, as computed with tensor networks.

  3. Applicability of kinetic theory in strongly coupled thermal quantum systems

    nucl-th 2026-06 unverdicted novelty 3.0

    In 1D lattice Schwinger and NJL models, single-particle momentum distributions dominate two-particle correlations once thermal kinetic energy becomes comparable to the interaction strength, supporting applicability of...