Geometric phase of mixed states for three-level open systems

Journal Article · Wed Dec 15 00:00:00 EST 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.82.062108· OSTI ID:21528816

Yanyan, Jiang ^[1]; Ji, Y H; Wang, Z S ^[1]; Hualan, Xu; Liyun, Hu ^[1]; Chen, Z Q; Guo, L P ^[2]

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1. College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022 (China)
2. Key Laboratory of Artificial Micro- and Nano-Structures of Ministry of Education and School of Physics and Technology, Wuhan University, Wuhan 430072 (China)

Geometric phase of mixed state for three-level open system is defined by establishing in connecting density matrix with nonunit vector ray in a three-dimensional complex Hilbert space. Because the geometric phase depends only on the smooth curve on this space, it is formulated entirely in terms of geometric structures. Under the limiting of pure state, our approach is in agreement with the Berry phase, Pantcharatnam phase, and Aharonov and Anandan phase. We find that, furthermore, the Berry phase of mixed state correlated to population inversions of three-level open system.

• OSTI ID: 21528816
• Journal Information: Physical Review. A, Vol. 82, Issue 6; Other Information: DOI: 10.1103/PhysRevA.82.062108; (c) 2010 American Institute of Physics; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DENSITY MATRIX
GEOMETRY
HILBERT SPACE
MIXED STATE
MIXED STATES
POPULATION INVERSION
THREE-DIMENSIONAL CALCULATIONS
VECTORS
BANACH SPACE
MATHEMATICAL SPACE
MATHEMATICS
MATRICES
QUANTUM STATES
SPACE
TENSORS