Review Article
The Dynamic of Quantum Spin Interacting with Magnetic Field Coupled to a Heat Bath
Received Date: August 02, 2022; Published Date: August 17, 2022
Abstract
The coherent quantum dynamics of a single bosonic spin variable, subject to a constraint derived from the quantum spherical model of a ferromagnet, and coupled to an external heat bath, are studied through the Lindblad equation for the reduced density matrix. We derive the governing equations of the system and solve them for several quantum observable. We analyze the interplay between quantum fluctuation and dissipation and the effect on the relaxation of the time-dependent magnetization.
Keywords:Quantum dynamics; Hyper-geometric functions; Bessel’s functions; Lindblad equation; Phase transition; Mean-field theory
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