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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

classification hep-phhep-exhep-latnucl-thquant-ph
keywords quantumfinitesimulationchemicalchiralfieldmodelphase
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

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. Full citation record

  1. Quantum thermalization of Quark-Gluon Plasma

    hep-ph 2024-12 conditional novelty 6.0 of 10

    In a 1+1D Schwinger model, strong-coupling quark Wigner functions thermalize to quantum statistical averages, while weak-coupling scalar and axial components do not because of many-body scars, and the θ-vacuum angle c...

  2. Efficient Quantum Simulation of QCD Jets on the Light Front

    hep-ph 2024-11 conditional novelty 6.0 of 10

    A direct second-quantized qubit encoding of the light-front QCD Hamiltonian is used to classically emulate in-medium jet evolution with up to three-particle Fock states.

  3. Quantum computing of chirality imbalance in SU(2) gauge theory

    hep-ph 2024-11 conditional novelty 5.0 of 10

    A variational quantum algorithm with Monte Carlo sampling reproduces the exact thermal chiral condensate in 1+1D SU(2) gauge theory on 8 to 12 qubits and on IBM hardware.

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