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Tuesday, September 30, 2008
10:00 AM - 11:00 AM
CNLS Conference Room (TA-3, Bldg 1690)


Geometry-Induced Quantum Potentials, Non-Dissipative Electron Transport and Qubits

Victor Atanasov
Bulgarian Academy of Sciences, Sofia, Bulgaria and Universite de Cergy-Pontoise, France

A quantum particle confined within a rod feels the bending of the axis of that rod via the induced quantum effective potential. As a result the quantum motion is coupled with the solutions of the classical equations of motion for this rod. The Kirchhoff model of a rod gives the conformation dynamics which allows for curvature based solitary waves. Applying this to the problem of electron transport, this permits us to formalize and quantify the concept of a "conformon" (including a trapped electron wave packet) that has been hypothesized in biology. We present a microscopic mechanism of the above. Another interesting application represents the open tight trefoil knot whose curvature profile induces a quantum two-well potential for a particle trapped in its interior, namely the knot acts as a qubit. A collection of knots on a quantum wire may be used for quantum computation. The same is valid for the closed trefoil knot which may also be used as a simulation of a one dimensional solid.

Host: Avadh Saxena