https://doi.org/10.1140/epjd/e2007-00212-8
Geometric phase in a composite system subjected to decoherence
1
Department of Physics, Huazhong University of Science and Technology, Wuhan, 430074, P.R. China
2
Department of Mathematic and Physics, China University of Geosciences, Wuhan, 430074, P.R. China
Corresponding author: a liujibing0328@126.com
Received:
2
February
2007
Revised:
1
May
2007
Published online:
27
June
2007
In this paper, we investigate the geometric phase of a composite system which is composed of two spin-
particles driven by a
time-varying magnetic field. Firstly, we consider the special case that only one subsystem driven by time-varying magnetic field. Using the quantum jump
approach, we calculate the geometric phase associated with the adiabatic evolution of the system subjected to decoherence. The results show that the lowest
order corrections to the phase in the no-jump trajectory is only quadratic in decoherence coefficient. Then, both subsystem driven by time-varying magnetic
field is considered, we show that the geometric phase is related to the exchange-interaction coefficient and polar angle of the magnetic field.
PACS: 03.65.Vf – Phases: geometric; dynamic or topological / 03.65.Yz – Decoherence; open systems; quantum statistical methods
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2007
