摘要The geometric phase, in particular the Berry phase, in an entangled state of five spin-1/2 particles is studied. A time-dependent magnetic field is applied to control the time evolution of the cluster. Using the method of algebraic dynamics, we calculate the non-adiabatic geometric phase or Berry phase and the degeneracy energy levels when the magnetic rotates around Z axis. Based on the exact analytical solutions, we show how the Berry phase of the entangled state of this cluster depends on the external magnetic field parameters ω (the angular velocity of the rotating magnetic field) and θ (the angle between the magnetic field and Z axis).
Abstract：The geometric phase, in particular the Berry phase, in an entangled state of five spin-1/2 particles is studied. A time-dependent magnetic field is applied to control the time evolution of the cluster. Using the method of algebraic dynamics, we calculate the non-adiabatic geometric phase or Berry phase and the degeneracy energy levels when the magnetic rotates around Z axis. Based on the exact analytical solutions, we show how the Berry phase of the entangled state of this cluster depends on the external magnetic field parameters ω (the angular velocity of the rotating magnetic field) and θ (the angle between the magnetic field and Z axis).
(Vibronic, rovibronic, and rotation-electron-spin interactions)
引用本文:
YAN Xiao-Bo. Berry Phase in an Entangled Spin Cluster with Five Particles[J]. 中国物理快报, 2007, 24(8): 2170-2172.
YAN Xiao-Bo. Berry Phase in an Entangled Spin Cluster with Five Particles. Chin. Phys. Lett., 2007, 24(8): 2170-2172.
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2007, Vol. 24 
