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Browsing by Author "Gürkan, Zeynep Nilhan"
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Abelian Chern-Simons vortices and holomorphic Burgers hierarchy
Pashaev, Oktay; Gürkan, Zeynep Nilhan (Springer, 2007-07)We consider the Abelian Chern-Simons gauge field theory in 2+1 dimensions and its relation to the holomorphic Burgers hierarchy. We show that the relation between the complex potential and the complex gauge field as in ... -
Berry's phase under the Dzyaloshinskii-Moriya interaction
Kwan, M. K.; Gürkan, Zeynep Nilhan; Kwek, L. C. (American Physical Society, 2008-06)In this paper, we study the Dzyaloshinskii-Moriya (DM) anisotropic XX spin-chain model in the presence of an external homogeneous magnetic field. We found that the Berry phase of the system varies interestingly with small ... -
Energy localization in maximally entangled two- and three-qubit phase space
Pashaev, Oktay; Gürkan, Zeynep Nilhan (IOP Publishing, 2012-06)Motivated by theMobius transformation for symmetric points under the generalized circle in the complex plane, the system of symmetric spin coherent states corresponding to antipodal qubit states is introduced. In terms of ... -
Entanglemend and topological soliton structures in Heisenberg spin models
Gürkan, Zeynep Nilhan (Izmir Institute of Technology, 2010)Quantum entanglement and topological soliton characteristics of spin models are studied. By identifying spin states with qubits as a unit of quantum information, quantum information characteristic as entanglement is ... -
Entanglement in two qubit magnetic models with dm antisymmetric anisotropic exchange interaction
Gürkan, Zeynep Nilhan; Pashaev, Oktay (World Scientific Publishing, 2010-03)In the present paper, an influence of the anisotropic antisymmetric exchange interaction, the DzialoshinskiiMoriya (DM) interaction, on entanglement of two qubits in various magnetic spin models, including the pure DM model ... -
Integrable vortex dynamics and complex Burgers' equation
Gürkan, Zeynep Nilhan (Izmir Institute of Technology, 2005)Integrable dynamical models of the point magnetic vortex interactions in the plane are studied. Reformulating the Euler equations for vorticity in the Helmholtz form, the Hamiltonian and Lax representations are found. ... -
Integrable vortex dynamics in anisotropic planar spin liquid model
Gürkan, Zeynep Nilhan; Pashaev, Oktay (Elsevier, 2008-10)The problem of magnetic vortex dynamics in an anisotropic spin liquid model is considered. For incompressible flow the model admits reduction to saturating Bogomolny inequality analytic projections of spin variables, subject ...
