Topological Action Related to Berry's Phase and its Non-adiabatic Effects

  • For the general cases where the adiabatic conditions are broken, we use the path-integration to derive a topological action related to the Berry's phase and the corresponding effective Hamiltonian, and thereby obtain the probability amplitude of the non-adiabatic transition under the first-order approximation. These discussions manifest the universality of existence of the Berry's phase and induced gauge structure. As an example, the dynamics of induced monopole associated with Bitter-Dubbers experiment is discussed.
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Sun Changpu. Topological Action Related to Berry's Phase and its Non-adiabatic Effects[J]. Chinese Physics C, 1990, 14(S3): 265-273.
Sun Changpu. Topological Action Related to Berry's Phase and its Non-adiabatic Effects[J]. Chinese Physics C, 1990, 14(S3): 265-273. shu
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Received: 1990-08-28
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    Supported by the National Natural Science Foundation of China.

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Topological Action Related to Berry's Phase and its Non-adiabatic Effects

  • Theoretical Physics Division, Nankai Institute of Mathematics, Tianjin, and Physics Department, Northeast Normal University, Changchun
Fund Project:  Supported by the National Natural Science Foundation of China.

Abstract: For the general cases where the adiabatic conditions are broken, we use the path-integration to derive a topological action related to the Berry's phase and the corresponding effective Hamiltonian, and thereby obtain the probability amplitude of the non-adiabatic transition under the first-order approximation. These discussions manifest the universality of existence of the Berry's phase and induced gauge structure. As an example, the dynamics of induced monopole associated with Bitter-Dubbers experiment is discussed.

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