title: Simulation of the ground states of spin rings with cavity-assisted neutral atoms.
abstract: Quantum phase transitions occur when the ground state of a Hamiltonian undergoes qualitative changes with a control parameter changing. In this paper we consider a particular system--an Isng-type spin ring with competing many-body interactions. Depending on the relative strength interactions, the ground state of the system is either a product state or entangled state. We implement the system in a cavity-assisted neutral atomic simulator and study the non-locality and entanglement of the simulated ground state of an Ising-type three-spin ring with the control parameter changing. The simplicity of the setup and its robustness to noise give it a great practicality within the framework of current experimental technology.
authors.affiliation: 1] Department of Physics, Southeast University, Nanjing, Jiangsu 211189, China [2] State Key Laboratory of Precision Spectroscopy, East China Normal University, Shanghai 200062, China.
authors.forename: Peng
authors.initials: P
authors.lastname: Xue
authors.affiliation: Department of Physics, Southeast University, Nanjing, Jiangsu 211189, China.
authors.forename: Xiang
authors.initials: X
authors.lastname: Zhan
authors.affiliation: Department of Physics, Southeast University, Nanjing, Jiangsu 211189, China.
authors.forename: Zhihao
authors.initials: Z
authors.lastname: Bian