Research lectures, seminars and events
The events listed in this area are research seminars, workshops and lectures hosted by Durham University departments and research institutes. If you are not a member of the University, but wish to enquire about attending one of the events please contact the organiser or host department.
|November 2017||January 2018|
Events for 1 December 2017
Motivated by recent studies of holographic complexity, we examine the question of circuit complexity in quantum field theory. We provide a quantum circuit model for the preparation of Gaussian states, in particular the ground state, in a free scalar field theory for general dimensions. Applying the geometric approach of Nielsen to this quantum circuit model, the complexity of the state becomes the length of the shortest geodesic in the space of circuits. We compare the complexity of the ground state of the free scalar field to the analogous results from holographic complexity, and find some surprising similarities.
A classic modelling task in Solar Physics is a boundary value problem: how to reconstruct the 3D magnetic field in the Sun's atmosphere given boundary data on the Sun's surface? The new generation of magnetic field models are time dependent, but this brings new problems as boundary data for the electric field, rather than just the magnetic field, are required. In this talk, I will present recent work on inverting Faraday's law: i.e., determining the electric field from observations of only the magnetic field. I will show that L1-minimization provides an elegant solution to this seemingly ill-posed inverse problem.
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