Berry phase and quantum criticality in Yang-Baxter systems
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Publication:950112
DOI10.1016/j.aop.2008.06.003zbMath1192.81176arXiv0806.1369OpenAlexW2034056865MaRDI QIDQ950112
Mo-Lin Ge, Kang Xue, Jing-Ling Chen
Publication date: 22 October 2008
Published in: Annals of Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0806.1369
Quantum computation (81P68) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Critical phenomena in equilibrium statistical mechanics (82B27) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)
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Cites Work
- A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
- \(2n\)-quasihole states realize \(2^{n-1}\)-dimensional spinor braiding statistics in paired quantum Hall states
- Automorphisms of extra special groups and nonvanishing degree 2 cohomology
- Fault-tolerant quantum computation by anyons
- Quantal phase factors accompanying adiabatic changes
- Trigonometric Yang-Baxterization of coloured R-matrix
- UNIVERSAL QUANTUM GATE, YANG–BAXTERIZATION AND HAMILTONIAN
- Entanglement of Formation of an Arbitrary State of Two Qubits
- EXTRASPECIAL 2-GROUPS AND IMAGES OF BRAID GROUP REPRESENTATIONS
- Quantum groups and non-Abelian braiding in quantum Hall systems
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