Dynamics of Bloch vector in thermal Jaynes-Cummings model

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dc.creatorAzuma, Hiroo
dc.date2007-11-23
dc.date2008-04-15
dc.date.accessioned2026-07-07T09:44:24Z
dc.date.available2026-07-07T09:44:24Z
dc.descriptionIn this paper, we investigate the dynamics of the Bloch vector of a single two-level atom which interacts with a single quantized electromagnetic field mode according to the Jaynes-Cummings model, where the field is initially prepared in a thermal state. The time evolution of the Bloch vector S(t) seems to be in complete disorder because of the thermal distribution of the initial state of the field. Both the norm and the direction of S(t) oscillate hard and their periods seem infinite. We observe that the trajectory of the time evolution of S(t) in the two- or three-dimensional space does not form a closed path. To remove the fast frequency oscillation from the trajectory, we take the time-average of the Bloch vector S(t). We examine the histogram of {S_{z}(nΔt)|n=0,1,...,N} for small Δt and large N. It represents an absolute value of a derivative of the inverse function of S_{z}(t). (When the inverse function of y=S_{z}(t) is a multi-valued function, the histogram represents a summation of the absolute values of its derivatives at points whose real parts are equal to y on the Riemann surface.) We examine the dependence of the variance of the histogram on the temperature of the field. We estimate the lower bound of the entanglement between the atom and the field.
dc.description16 pages, 8 eps figures, latex2e; v2: a new section and references added
dc.identifierhttps://arxiv.org/abs/0711.3558
dc.identifierhttp://arxiv.org/abs/0711.3558
dc.identifierPhys. Rev. A 77, 063820 (2008)
dc.identifierdoi:10.1103/PhysRevA.77.063820
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162864
dc.subjectQuantum Physics
dc.titleDynamics of Bloch vector in thermal Jaynes-Cummings model
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