Decoherence, Master Equation for Open Quantum Systems, and the Subordination Theory Page: 2
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Giraldi, Filippo. Decoherence, Master Equation for Open Quantum Systems, and the
Subordination Theory. Doctor of Philosophy (Physics), August 2005, 130 pp., references, 47
This thesis addresses the problem of a form of anomalous decoherence that sheds light
into the spectroscopy of blinking quantum dots.
The system studied is a two-state system, interacting with an external environment that
has the effect of establishing an interaction between the two states, via a coherence generating
coupling, called inphasing. The collisions with the environment produce also decoherence,
named dephasing. Decoherence is interpreted as the entanglement of the coherent superposition
of these two states with the environment.
The joint action of inphasing and dephasing generates a Markov master equation
statistically equivalent to a random walker jumping from one state to the other. This model can
be used to describe intermittent fluorescence, as a sequence of "light on" and "light off' states.
The experiments on blinking quantum dots indicate that the sojourn times are distributed
with an inverse power law. Thus, a proposal to turn the model for Poisson fluorescence
intermittency into a model for non-Poisson fluorescence intermittency is made. The collision-like
interaction of the two-state system with the environment is assumed to takes place at random
times rather than at regular times. The time distance between one collision and the next is given
by a distribution, called the subordination distribution. If the subordination distribution is
exponential, a sequence of collisions yielding no persistence is turned into a sequence of "light
on" and "light off' states with significant persistence. If the subordination function is an inverse
power law the sequel of "light on" and "light off' states becomes equivalent to the experimental
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Giraldi, Filippo. Decoherence, Master Equation for Open Quantum Systems, and the Subordination Theory, dissertation, August 2005; Denton, Texas. (digital.library.unt.edu/ark:/67531/metadc4812/m1/2/: accessed January 22, 2019), University of North Texas Libraries, Digital Library, digital.library.unt.edu; .