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Conformal Geometry Program Seminar: Denis Bernard, Ecole Normale Superieure Paris


Denis Bernard, Ecole Normale Superieure

Title: Open Quantum Random Walks: Bi-stability on Pure States and Ballistically Induced Diffusion
Speaker: Denis Bernard, Ecole Normale Superieure Paris
Date: Thursday, April 4, 2013
Time: 11:30am – 12:30pm
Place: Seminar Room 313, Simons Center



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Abstract: Open quantum random walks (OQRWs) deal with quantum random motions on the line for systems with internal and orbital degrees of freedom. The internal system behaves as a quantum random gyroscope coding for the direction of the orbital moves. We reveal the existence of a transition, depending on OQRW moduli, in the internal system behaviours from simple oscillations to random flips between two unstable pure states. This induces a transition in the orbital motions from usual diffusion to ballistically induced diffusion with large mean free path and large effective diffusion constant at large time.