Quantum simulation of chiral phase transitions

A bstract 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...

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Bibliographic Details
Published in:The journal of high energy physics 2022-08, Vol.2022 (8), p.209-23, Article 209
Main Authors: Czajka, Alexander M., Kang, Zhong-Bo, Ma, Henry, Zhao, Fanyi
Format: Article
Language:English
Subjects:
Algorithms
Chemical potential
Classical and Quantum Gravitation
Computer simulation
Computers
Elementary Particles
Evolutionary algorithms
Exact solutions
Field theory
Finite Temperature or Finite Density
High energy physics
Phase Diagram or Equation of State
Phase Transitions
Physics
Physics and Astronomy
Quantum chromodynamics
Quantum computing
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Quarks
Regular Article - Experimental Physics
Relativity Theory
Simulation
Solid phases
String Theory
Symmetry
Theoretical physics
Thermodynamics
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Summary:A bstract 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP08(2022)209