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10 papers · 2 filters
Optical Simulation of Yang-Baxter Equation
Shuang-Wei Hu, Ming-Guang Hu, Kang Xue +1
In this paper, several proposals of optically simulating Yang-Baxter equations have been presented. Motivated by the recent development of anyon theory, we apply Temperley-Lieb alg…
Bogoliubov Hamiltonian as Derivative of Dirac Hamiltonian via Braid Relation
Bao-Xing Xie, Kang Xue, Mo-Lin Ge
In this paper we discuss a new type of 4-dimensional representation of the braid group. The matrices of braid operations are constructed by q-deformation of Hamiltonians. One is th…
SO(4) symmetry in the relativistic hydrogen atom
Jing-Ling Chen, Dong-Ling Deng, Ming-Guang Hu
We show that the relativistic hydrogen atom possesses an SO(4) symmetry by introducing a kind of pseudo-spin vector operator. The same SO(4) symmetry is still preserved in the rela…
Relation between three-qubit entanglement invariants and two-qubit concurrence
Wen-Long Yang, Jing-Ling Chen
In this Brief Report we show the relation between three-qubit entanglement invariants and two-qubit concurrence with the help of projective measurements. How to use these invariant…
Berry's phase for coherent states of Landau levels
Wen-Long Yang, Jing-Ling Chen
The Berry phases for coherent states and squeezed coherent states of Landau levels are calculated. Coherent states of Landau levels are interpreted as a result of a magnetic flux m…
Quantum Dynamical Algebra SU(1,1) in One-Dimensional Exactly Solvable Potentials
Ming-Guang Hu, Jing-Ling Chen
We mainly explore the linear algebraic structure like SU(2) or SU(1,1) of the shift operators for some one-dimensional exactly solvable potentials in this paper. During such proces…