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arxiv: 0706.2063 · v1 · submitted 2007-06-14 · 🪐 quant-ph

Berry's phase for coherent states of Landau levels

classification 🪐 quant-ph
keywords coherentstatesberrylandaulevelsphasecalculatedmagnetic
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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 moved adiabatically from infinity to a finite place on the plane. The Abelian Berry phase for coherent states of Landau levels is an analog of the Aharonov- Bohm effect. Moreover, the non-Abelian Berry phase is calculated for the adiabatic evolution of the magnetic field B.

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