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.

Details

Title
Quantum simulation of chiral phase transitions
Author
Czajka, Alexander M. 1 ; Kang, Zhong-Bo 2   VIAFID ORCID Logo  ; Ma, Henry 3 ; Zhao, Fanyi 4 

1  University of California, Department of Physics and Astronomy, Los Angeles, USA (GRID:grid.19006.3e) (ISNI:0000 0000 9632 6718); University of California, Center for Quantum Science and Engineering, Los Angeles, USA (GRID:grid.19006.3e) (ISNI:0000 0000 9632 6718) 
2  University of California, Department of Physics and Astronomy, Los Angeles, USA (GRID:grid.19006.3e) (ISNI:0000 0000 9632 6718); University of California, Mani L. Bhaumik Institute for Theoretical Physics, Los Angeles, USA (GRID:grid.19006.3e) (ISNI:0000 0000 9632 6718); University of California, Center for Quantum Science and Engineering, Los Angeles, USA (GRID:grid.19006.3e) (ISNI:0000 0000 9632 6718); Stony Brook University, Center for Frontiers in Nuclear Science, Stony Brook, USA (GRID:grid.36425.36) (ISNI:0000 0001 2216 9681) 
3  University of California, Department of Physics and Astronomy, Los Angeles, USA (GRID:grid.19006.3e) (ISNI:0000 0000 9632 6718); University of California, Center for Quantum Science and Engineering, Los Angeles, USA (GRID:grid.19006.3e) (ISNI:0000 0000 9632 6718); University of California, Department of Computer Science, Los Angeles, USA (GRID:grid.19006.3e) (ISNI:0000 0000 9632 6718) 
4  University of California, Department of Physics and Astronomy, Los Angeles, USA (GRID:grid.19006.3e) (ISNI:0000 0000 9632 6718); University of California, Mani L. Bhaumik Institute for Theoretical Physics, Los Angeles, USA (GRID:grid.19006.3e) (ISNI:0000 0000 9632 6718); University of California, Center for Quantum Science and Engineering, Los Angeles, USA (GRID:grid.19006.3e) (ISNI:0000 0000 9632 6718) 
Pages
209
Publication year
2022
Publication date
Aug 2022
Publisher
Springer Nature B.V.
e-ISSN
10298479
Source type
Scholarly Journal
Language of publication
English
DOI
https://doi.org/10.1007/JHEP08(2022)209
ProQuest document ID
2848477906
Copyright
© The Author(s) 2022. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.