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COMPUTATIONAL STUDY OF THE NEAR FIELD SPONTANEOUS CREATION OF PHOTONIC STATES COUPLED TO FEW LEVEL SYSTEMS
 Date Issued:
 2011
 Abstract/Description:
 Models of the spontaneous emission and absorption of photons coupled to the electronic states of quantum dots, molecules, NV (single nitrogen vacancy) centers in diamond, that can be modeled as artificial few level atoms, are important to the development of quantum computers and quantum networks. A quantum source modeled after an effective few level system is strongly dependent on the type and coupling strength the allowed transitions. These selection rules are subject to the WignerEckert theorem which specifies the possible transitions during the spontaneous creation of a photonic state and its subsequent emission. The model presented in this dissertation describes the spatiotemporal evolution of photonic states by means of a Diraclike equation for the photonic wave function within the region of interaction of a quantum source. As part of this aim, we describe the possibility to shift from traditional electrodynamics and quantum electrodynamics, in terms of electric and magnetic fields, to one in terms of a photonic wave function and its operators. The mapping between these will also be presented herein. It is further shown that the results of this model can be experimentally verified. The suggested method of verification relies on the direct comparison of the calculated density matrix or Wigner function, associated with the quantum state of a photon, to ones that are experimentally reconstructed through optical homodyne tomography techniques. In this nonperturbative model we describe the spontaneous creation of photonic state in a nonMarkovian limit which does not implement the WeisskopfWigner approximation. We further show that this limit is important for the description of how a single photonic mode is created from the possibly infinite set of photonic frequencies $\nu_k$ that can be excited in a dielectriccavity from the vacuum state. We use discretized centraldifference approximations to the space and time partial derivatives, similar to finitedifference time domain models, to compute these results. The results presented herein show that near field effects need considered when describing adjacent quantum sources that are separated by distances that are small with respect to the wavelength of their spontaneously created photonic states. Additionally, within the future scope of this model,we seek results in the Purcell and Rabi regimes to describe enhanced spontaneous emission events from these fewlevel systems, as embedded in dielectric cavities. A final goal of this dissertation is to create novel computational and theoretical models that describe single and multiple photon states via single photon creation and annihilation operators.
Title:  COMPUTATIONAL STUDY OF THE NEAR FIELD SPONTANEOUS CREATION OF PHOTONIC STATES COUPLED TO FEW LEVEL SYSTEMS. 
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Name(s): 
Tafur, Sergio, Author Leuenberger, Michael, Committee Chair University of Central Florida, Degree Grantor 

Type of Resource:  text  
Date Issued:  2011  
Publisher:  University of Central Florida  
Language(s):  English  
Abstract/Description:  Models of the spontaneous emission and absorption of photons coupled to the electronic states of quantum dots, molecules, NV (single nitrogen vacancy) centers in diamond, that can be modeled as artificial few level atoms, are important to the development of quantum computers and quantum networks. A quantum source modeled after an effective few level system is strongly dependent on the type and coupling strength the allowed transitions. These selection rules are subject to the WignerEckert theorem which specifies the possible transitions during the spontaneous creation of a photonic state and its subsequent emission. The model presented in this dissertation describes the spatiotemporal evolution of photonic states by means of a Diraclike equation for the photonic wave function within the region of interaction of a quantum source. As part of this aim, we describe the possibility to shift from traditional electrodynamics and quantum electrodynamics, in terms of electric and magnetic fields, to one in terms of a photonic wave function and its operators. The mapping between these will also be presented herein. It is further shown that the results of this model can be experimentally verified. The suggested method of verification relies on the direct comparison of the calculated density matrix or Wigner function, associated with the quantum state of a photon, to ones that are experimentally reconstructed through optical homodyne tomography techniques. In this nonperturbative model we describe the spontaneous creation of photonic state in a nonMarkovian limit which does not implement the WeisskopfWigner approximation. We further show that this limit is important for the description of how a single photonic mode is created from the possibly infinite set of photonic frequencies $\nu_k$ that can be excited in a dielectriccavity from the vacuum state. We use discretized centraldifference approximations to the space and time partial derivatives, similar to finitedifference time domain models, to compute these results. The results presented herein show that near field effects need considered when describing adjacent quantum sources that are separated by distances that are small with respect to the wavelength of their spontaneously created photonic states. Additionally, within the future scope of this model,we seek results in the Purcell and Rabi regimes to describe enhanced spontaneous emission events from these fewlevel systems, as embedded in dielectric cavities. A final goal of this dissertation is to create novel computational and theoretical models that describe single and multiple photon states via single photon creation and annihilation operators.  
Identifier:  CFE0003881 (IID), ucf:48739 (fedora)  
Note(s): 
20110801 Ph.D. Sciences, Department of Physics Masters This record was generated from author submitted information. 

Subject(s): 
single photon source photon wavefunction photonic quantum network cavity quantum computing quantum dot spontaneous creation fewlevel optical 

Persistent Link to This Record:  http://purl.flvc.org/ucf/fd/CFE0003881  
Restrictions on Access:  public  
Host Institution:  UCF 