Detection of quantum phase transition in spin-1 chain through multipartite high-order correlations
arXiv:2105.12391 · doi:10.1103/PhysRevA.106.042432
Abstract
We design a Bell inequality that is violated by correlations obtained from the ground states of XXZ spin-1 chain with on site anisotropies at the region of phase transition. In order to detect such correlations in spin-1 systems we exploit the formalism of generalized Bell inequality via the use of multipartite and high order correlations. We observe sharp violation in the vicinity of quantum phase transition between the so called large D and AFM phase. Interestingly, the violation of our Bell inequality is manifested by the change of the XXZ spin-1 chain ground state to a Greenberger-Horne-Zeilinger (GHZ)-like state at the critical region. Our results provide the first characterization of quantum phase transition via the violation of Bell-type constraint by correlations in the XXZ spin-1 chain with multi-body correlations and high-order measurements.
8 pages, 12 figures
References in corpus (7)
- Device-independent security of quantum cryptography against collective attacks
- Device-independent quantum key distribution secure against collective attacks
- Experimental Realization of a Quantum Integer-Spin Chain with Controllable Interactions
- Tunable Single-Ion Anisotropy in Spin-1 Models Realized with Ultracold Atoms
- Characterizing quantum correlations in spin chains
- Inferring Nonlinear Many-Body Bell Inequalities From Average Two-Body Correlations: Systematic Approach for Arbitrary Spin-j Ensembles
- Detecting many-body Bell non-locality by solving Ising models