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Berry Phase in an Entangled Spin Cluster with Five Particles |
| YAN Xiao-Bo |
| Electronic Science Institute, Daqing Petroleum Institute, Daqing 163318 |
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| Cite this article: |
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YAN Xiao-Bo 2007 Chin. Phys. Lett. 24 2170-2172 |
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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).
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| Keywords:
03.65.Vf
75.10.Pq
33.20.Wr
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Received: 21 January 2007
Published: 25 July 2007
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| PACS: |
03.65.Vf
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(Phases: geometric; dynamic or topological)
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75.10.Pq
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(Spin chain models)
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33.20.Wr
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(Vibronic, rovibronic, and rotation-electron-spin interactions)
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