Berry Geometric Phase and Quantum Transition

  • For the emergence of Berry geometric phase, we analyze the relevant physical background condition of the weak transitions among quantum energy-levels. We elaborate a further discussion on the internal relationship between the strict obtainment of Berry geometric phase and the weak transitions. Our study shows that the strict obtainment of Berry geometric phase is the natural result of the adiabatic limit effect of weak transitions among quantum energy-levels. These transitions occur inevitably during the evolution process of quantum system.
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ZHANG ZhongCan, FANG ZhenYun, HU ChenGuO and SUN ShiJun. Berry Geometric Phase and Quantum Transition[J]. Chinese Physics C, 2000, 24(12): 1106-1114.
ZHANG ZhongCan, FANG ZhenYun, HU ChenGuO and SUN ShiJun. Berry Geometric Phase and Quantum Transition[J]. Chinese Physics C, 2000, 24(12): 1106-1114. shu
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Received: 1999-10-08
Revised: 1900-01-01
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Berry Geometric Phase and Quantum Transition

    Corresponding author: ZHANG ZhongCan,
  • Physics Department of Science College, ChongQing University, ChongQing 400044, China

Abstract: For the emergence of Berry geometric phase, we analyze the relevant physical background condition of the weak transitions among quantum energy-levels. We elaborate a further discussion on the internal relationship between the strict obtainment of Berry geometric phase and the weak transitions. Our study shows that the strict obtainment of Berry geometric phase is the natural result of the adiabatic limit effect of weak transitions among quantum energy-levels. These transitions occur inevitably during the evolution process of quantum system.

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