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Main Authors: Xie, Xu-Dan, Guo, Xingyu, Xing, Hongxi, Xue, Zheng-Yuan, Zhang, Dan-Bo, Zhu, Shi-Liang
Format: Preprint
Published: 2022
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Online Access:https://arxiv.org/abs/2205.12767
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author Xie, Xu-Dan
Guo, Xingyu
Xing, Hongxi
Xue, Zheng-Yuan
Zhang, Dan-Bo
Zhu, Shi-Liang
author_facet Xie, Xu-Dan
Guo, Xingyu
Xing, Hongxi
Xue, Zheng-Yuan
Zhang, Dan-Bo
Zhu, Shi-Liang
contents Confinement of quarks due to the strong interaction and the deconfinement at high temperatures and high densities are a basic paradigm for understanding the nuclear matter. Their simulation, however, is very challenging for classical computers due to the sign problem of solving equilibrium states of finite-temperature quantum chromodynamical systems at finite density. In this paper, we propose a variational approach, using the lattice Schwinger model, to simulate the confinement or deconfinement by investigating the string tension. We adopt an ansatz that the string tension can be evaluated without referring to quantum protocols for measuring the entropy in the free energy. Results of numeral simulation show that the string tension decreases both along the increasing of the temperature and the chemical potential, which can be an analog of the phase diagram of QCD. Our work paves a way for exploiting near-term quantum computers for investigating the phase diagram of finite-temperature and finite density for nuclear matters.
format Preprint
id arxiv_https___arxiv_org_abs_2205_12767
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Variational thermal quantum simulation of the lattice Schwinger model
Xie, Xu-Dan
Guo, Xingyu
Xing, Hongxi
Xue, Zheng-Yuan
Zhang, Dan-Bo
Zhu, Shi-Liang
Quantum Physics
High Energy Physics - Lattice
High Energy Physics - Phenomenology
Nuclear Theory
Confinement of quarks due to the strong interaction and the deconfinement at high temperatures and high densities are a basic paradigm for understanding the nuclear matter. Their simulation, however, is very challenging for classical computers due to the sign problem of solving equilibrium states of finite-temperature quantum chromodynamical systems at finite density. In this paper, we propose a variational approach, using the lattice Schwinger model, to simulate the confinement or deconfinement by investigating the string tension. We adopt an ansatz that the string tension can be evaluated without referring to quantum protocols for measuring the entropy in the free energy. Results of numeral simulation show that the string tension decreases both along the increasing of the temperature and the chemical potential, which can be an analog of the phase diagram of QCD. Our work paves a way for exploiting near-term quantum computers for investigating the phase diagram of finite-temperature and finite density for nuclear matters.
title Variational thermal quantum simulation of the lattice Schwinger model
topic Quantum Physics
High Energy Physics - Lattice
High Energy Physics - Phenomenology
Nuclear Theory
url https://arxiv.org/abs/2205.12767