Berry phase and quantum criticality in Yang-Baxter systems

[1]  K. Dean,et al.  A 20 By , 2009 .

[2]  Kang Xue,et al.  Braiding transformation, entanglement swapping, and Berry phase in entanglement space , 2007, 0704.0709.

[3]  S. Simon,et al.  Braid topologies for quantum computation. , 2005, Physical review letters.

[4]  Eric C. Rowell,et al.  Extraspecial 2-groups and images of braid group representations , 2005, math/0503435.

[5]  Daniel A. Lidar,et al.  Entanglement observables and witnesses for interacting quantum spin systems , 2004, quant-ph/0412099.

[6]  L. Kauffman,et al.  Universal Quantum Gate, Yang-Baxterization and Hamiltonian , 2004, quant-ph/0412095.

[7]  L. Kauffman,et al.  Braiding operators are universal quantum gates , 2004, quant-ph/0401090.

[8]  G. Vidal,et al.  Entanglement in quantum critical phenomena. , 2002, Physical review letters.

[9]  A. Kitaev,et al.  Fault tolerant quantum computation by anyons , 1997, quant-ph/9707021.

[10]  A. Osterloh,et al.  Scaling of entanglement close to a quantum phase transition , 2002, Nature.

[11]  F. Bais,et al.  Quantum groups and non-Abelian braiding in quantum Hall systems , 2001, cond-mat/0104035.

[12]  W. Wootters Entanglement of Formation of an Arbitrary State of Two Qubits , 1997, quant-ph/9709029.

[13]  F. Wilczek,et al.  2n-quasihole states realize 2n−1-dimensional spinor braiding statistics in paired quantum Hall states , 1996, cond-mat/9605145.

[14]  M. Ge,et al.  YANG-BAXTERIZATION AND ALGEBRAIC STRUCTURES , 1994 .

[15]  Trigonometric Yang-Baxterization of coloured R-matrix , 1993 .

[16]  Joe Harris,et al.  Representation Theory: A First Course , 1991 .

[17]  M. Ge,et al.  EXPLICIT TRIGONOMETRIC YANG-BAXTERIZATION , 1991 .

[18]  M. Ge,et al.  Rational Yang-Baxterization and factorized S-matrix , 1991 .

[19]  R. Gilmore,et al.  Coherent states: Theory and some Applications , 1990 .

[20]  Vaughan F. R. Jones,et al.  On a certain value of the Kauffman polynomial , 1989 .

[21]  C. Yang,et al.  Braid Group Knot Theory and Statistical Mechanics , 1989 .

[22]  F. Wilczek,et al.  Geometric Phases in Physics , 1989 .

[23]  S. Chaturvedi,et al.  Berry's phase for coherent states , 1987 .

[24]  Moody,et al.  Realizations of magnetic-monopole gauge fields: Diatoms and spin precession. , 1986, Physical review letters.

[25]  Michio Jimbo,et al.  Aq-difference analogue of U(g) and the Yang-Baxter equation , 1985 .

[26]  V. Drinfeld Hopf algebra and Yang-Baxter equation , 1985 .

[27]  M. Berry Quantal phase factors accompanying adiabatic changes , 1984, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[28]  R. Baxter Exactly solved models in statistical mechanics , 1982 .

[29]  Robert L. Griess,et al.  Automorphisms of extra special groups and nonvanishing degree $2$ cohomology. , 1973 .

[30]  C. Yang,et al.  S MATRIX FOR THE ONE-DIMENSIONAL N-BODY PROBLEM WITH REPULSIVE OR ATTRACTIVE delta-FUNCTION INTERACTION. , 1968 .

[31]  C. Yang Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction , 1967 .