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A tensor network approach to the quantum many body problem

A shared PhD between Strathclyde and ICFO that will address collective emergence in the framework of quantum many-body systems described through tensor networks.

Number of places



1 January 2017


Competition Funded PhD Project (European/UK Students Only)

Project Details

The many body problem - How is it possible that the same and simple constituent atoms, when joined together, produce such a beautiful and diverse world? One can see this as a consequence of collective emergence, an aspect of physics relevant to several disciplines, from statistical physics to condensed matter, to high energy physics.

We will address collective emergence in the framework of quantum many-body systems described through tensor networks. By using tensor networks, the states of many-body system are described efficiently by means of the contraction of a network of small constituent tensors, making such a description viable also for large systems. Tensor networks thus offer a rich and ideal playground for analytical and numerical studies of many-body problems.

We are looking for a talented PhD student who wants to embark on the development of tensor networks techniques, either in the context of strongly interacting 2D system or in the context of the out-of equilibrium evolution of 1D quantum systems. The ideal candidate should have good analytical and numerical skills, be highly motivated, and be enthusiastic about joining a very active area of research. The PhD candidate will work under the direct supervision of Dr. Luca Tagliacozzo in the CNQO group of the Department of Physics at the University of Strathclyde in collaboration with Prof. Maciej Lewentstein at ICFO.

The proposed theoretical studies will also be relevant for ongoing experimental efforts, including work being performed in the Experimental Quantum Optics and Photonics Group in the Department of Physics of the University of Strathclyde.

The available PhD is part of the ongoing collaboration between Dr Luca Tagliacozzo at Strathclyde and the QOT group of Prof. Maciej Lewenstein at ICFO. The candidate will be based at Strathclyde, but will spend a significant amount of time at ICFO in Barcelona. We also offer postgraduate teaching and training as part of the SUPA (Scottish Universities Physics Alliance) and IMPP (International Max Planck Partnership). Financial support is available for collaborative work and for  presentation of results at national and international conferences.

Applicants  should have an excellent master degree in Physics, Applied Mathematics, Engineering, or a related discipline. Applications should be made by email directly to Luca Tagliacozzo and should include a CV and at least 2 letters of recommendations.

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