Time-dependent Landau system and non-adiabatic Berry phase in two dimensions*

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Published under licence by IOP Publishing Ltd
, , Citation Jing Hui and Wu Jian-sheng 2000 Chinese Phys. 9 481 DOI 10.1088/1009-1963/9/7/001

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1 Theoretical Physics Division, Nankai Institute of Mathematics, Nankai University, Tianjin 300071, China

Dates

  1. Received 16 November 1999
1009-1963/9/7/481

Abstract

By applying the time-independent unitary transformation, the time-dependent Landau system is transformed into a product of a time-independent Landau system's Hamiltonian and a factor only depending on time, which can be solved exactly. Both the invariant operator and the eigenstate are obtained. In the periodical time-dependent case, the non-adiabatic Berry's phase is also presented.

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  • * 

10.1088/1009-1963/9/7/001