The dynamics of a central spin in quantum Heisenberg XY model

. In the thermodynamic limit, we present an exact calculation of the time dynamics of a central spin coupling with its environment at finite temperatures. The interactions belong to the Heisenberg XY type. The case of an environment with finite number of spins is also discussed. To get the reduced d...

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Bibliographic Details
Published in:The European physical journal. D, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2008, Vol.46 (2), p.375-380
Main Authors: Yuan, X.-Z., Zhu, K.-D., Goan, H.-S.
Format: Article
Language:English
Subjects:
Applications of Nonlinear Dynamics and Chaos Theory
Atomic
Classical and quantum physics: mechanics and fields
Condensed matter: electronic structure, electrical, magnetic, and optical properties
Exact sciences and technology
Foundations, theory of measurement, miscellaneous theories (including aharonov-bohm effect, bell inequalities, berry's phase)
General theory and models of magnetic ordering
Magnetic properties and materials
Mathematical analysis
Molecular
Optical and Plasma Physics
Physical Chemistry
Physics
Physics and Astronomy
Quantized spin models
Quantum information
Quantum Information Technology
Quantum mechanics
Quantum Optics and Quantum Information
Quantum Physics
Spectroscopy/Spectrometry
Spin dynamics
Spintronics
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Summary:. In the thermodynamic limit, we present an exact calculation of the time dynamics of a central spin coupling with its environment at finite temperatures. The interactions belong to the Heisenberg XY type. The case of an environment with finite number of spins is also discussed. To get the reduced density matrix, we use a novel operator technique which is mathematically simple and physically clear, and allows us to treat systems and environments that could all be strongly coupled mutually and internally. The expectation value of the central spin and the von Neumann entropy are obtained.
ISSN:1434-6060
1434-6079
DOI:10.1140/epjd/e2007-00300-9