Quantum nonlocality and topological quantum phase transitions in the extended Ising chain

Abstract

We use two-site quantum nonlocality to identify the topological quantum phase transitions (TQPTs) of the extended Ising model driven by varying system parameters. We investigate how the system parameters, for example, the anisotropies of the nearest-neighbor and the next-nearest-neighbor spin pairs, the transverse magnetic field, and the three-spin interaction, affect the properties of nonlocality and its first derivative. We find that the nonlocality cannot mark any TQPTs while its first derivative can correctly characterize the TQPTs. By making the influences of the thermal fluctuations and the site distance of spin pairs on the critical behavior of the TQPTs analysis, we show that the sufficiently low temperature has a slight impact on the features of nonlocality and its first derivative while the site distance of spin pairs can significantly alter the characteristics of nonlocality and its first derivative. In addition, we also present the energy spectra and the trajectories of the winding vectors of the extended Ising model to further illustrate that nonlocality can be adopted to successfully signalize the TQPTs.

Nonlocality of mixtures of the ground and first excited states within J 1 −

“…Moreover, quantum nonlocality is also successfully used in identifying many-body localization transitions in a random-field Heisenberg chain [42]. Beyond the traditional QPTs, it has been observed that nonlocality can effectively identify novel topological QPTs and elucidate their underlying physical mechanisms [43]. As a result, quantum nonlocality emerges as a promising avenue for advancing our understanding of QPTs and related properties.…”