Berry phase and quantum criticality in Yang--Baxter systems

Abstract

Spin interaction Hamiltonians are obtained from the unitary Yang--Baxter $\breve{R}$-matrix. Based on which, we study Berry phase and quantum criticality in the Yang--Baxter systems.

7 pages, no figures. Accepted for publication in Annals of Physics

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• Temperley-Lieb Algebra, Yang-Baxterization and Universal Gate
• Universal quantum correlation close to quantum critical phenomena
• Berry phase and entanglement of 3 qubits in a new Yang-Baxter system
• Action in Hamiltonian Models Constructed by Yang-Baxter Equation: Entanglement and Measures of Correlation
• ${\ell }_1$-norm and entanglement in screening out braiding from Yang-Baxter equation associated with ${\mathbb{Z}}_3$ parafermion
• New series of multi-parametric solutions to GYBE: quantum gates and integrability
• ${\mathbb{Z}}_3$ Parafermionic Chain Emerging From Yang-Baxter Equation
• A study on the relations between the topological parameter and entanglement
• Method of constructing braid group representation and entanglement in a Yang-Baxter sysytem
• New type of solutions of Yang-Baxter equations, quantum entanglement and related physical models
• Scaling of quantum correlation and monogamy relation near a quantum phase transitions in two-dimensional XY spin system