Berry phase and quantum criticality in Yang–Baxter systems

2008/06/09 by Jing-Ling Chen, Jing‐Ling Chen, Kang Xue +2 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Criticality #Geometric phase #Mathematical physics #Nuclear physics #Phase (matter) #Physics #Quantum #Quantum many-body systems #Quantum mechanics #Quantum system #Theoretical physics #Unitary state #quant-ph

paper · pdf · doi:10.1016/j.aop.2008.06.003

published as Annals of Physics 323 (2008) 2614-2623 · 7 pages, no figures. Accepted for publication in Annals of Physics

arxiv created 2008/06/09 · openalex publication_date 2008/06/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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

Citations

• Coherent states: Theory and some applications
• Entanglement of Formation of an Arbitrary State of Two Qubits
• 2n-quasihole states realize 2n−1-dimensional spinor braiding statistics in paired quantum Hall states
• Quantal phase factors accompanying adiabatic changes
• Braid Topologies for Quantum Computation
• Fault-tolerant quantum computation by anyons

Cited by

• METHOD OF CONSTRUCTING BRAID GROUP REPRESENTATION AND ENTANGLEMENT IN A 9 × 9 YANG–BAXTER SYSTEM