#### Y. Avron (Technion) Geometry of quantum response in open systems

I shall describe a theory of adiabatic response for controlled open systems governed by Lindblad evolutions. The theory gives quantum response a geometric interpretation induced from the geometry of Hilbert space projections. For a two level system the metric turns out to be the Fubini-Study metric and the symplectic form the adiabatic curvature. Nice things happen when the metric and symplectic structures are compatible so the space of controls is Kahler. I shall give examples of compatible physical systems. Talk based on joint work with Fraas, Graf and Kenneth.

**Location:**
Jadwin A09

**Date/Time: **03/04/11
at
11:00 am
- 03/04/11
at
1:00 pm

Room A09

**Category: **Mathematical Physics Seminar

**Department: **Physics