中国物理B ›› 2022, Vol. 31 ›› Issue (2): 20304-020304.doi: 10.1088/1674-1056/ac380e
Quantum simulation of lattice gauge theories on superconducting circuits: Quantum phase transition and quench dynamics
Zi-Yong Ge(葛自勇)1,2, Rui-Zhen Huang(黄瑞珍)3,†, Zi-Yang Meng(孟子杨)1,4,5, and Heng Fan(范桁)1,2,4,6,‡
- 1 Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;
2 School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100190, China;
3 Kavli Institute for Theoretical Sciences, University of Chinese Academy of Sciences, Beijing 100190, China;
4 Songshan Lake Materials Laboratory, Dongguan 523808, China;
5 Department of Physics and HKU-UCAS Joint Institute of Theoretical and Computational Physics, The University of Hong Kong, Hong Kong SAR, China;
6 CAS Center for Excellence in Topological Quantum Computation, University of Chinese Academy of Sciences, Beijing 100190, China
Quantum simulation of lattice gauge theories on superconducting circuits: Quantum phase transition and quench dynamics
Zi-Yong Ge(葛自勇)1,2, Rui-Zhen Huang(黄瑞珍)3,†, Zi-Yang Meng(孟子杨)1,4,5, and Heng Fan(范桁)1,2,4,6,‡
- 1 Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;
2 School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100190, China;
3 Kavli Institute for Theoretical Sciences, University of Chinese Academy of Sciences, Beijing 100190, China;
4 Songshan Lake Materials Laboratory, Dongguan 523808, China;
5 Department of Physics and HKU-UCAS Joint Institute of Theoretical and Computational Physics, The University of Hong Kong, Hong Kong SAR, China;
6 CAS Center for Excellence in Topological Quantum Computation, University of Chinese Academy of Sciences, Beijing 100190, China
摘要： Recently, quantum simulation of low-dimensional lattice gauge theories (LGTs) has attracted many interests, which may improve our understanding of strongly correlated quantum many-body systems. Here, we propose an implementation to approximate $\mathbb{Z}_2$ LGT on superconducting quantum circuits, where the effective theory is a mixture of a LGT and a gauge-broken term. By using matrix product state based methods, both the ground state properties and quench dynamics are systematically investigated. With an increase of the transverse (electric) field, the system displays a quantum phase transition from a disordered phase to a translational symmetry breaking phase. In the ordered phase, an approximate Gauss law of the $\mathbb{Z}_2$ LGT emerges in the ground state. Moreover, to shed light on the experiments, we also study the quench dynamics, where there is a dynamical signature of the spontaneous translational symmetry breaking. The spreading of the single particle of matter degree is diffusive under the weak transverse field, while it is ballistic with small velocity for the strong field. Furthermore, due to the emergent Gauss law under the strong transverse field, the matter degree can also exhibit confinement dynamics which leads to a strong suppression of the nearest-neighbor hopping. Our results pave the way for simulating the LGT on superconducting circuits, including the quantum phase transition and quench dynamics.
中图分类号: (Quantum information)
- 03.67.-a