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Speakers: Pieter Claeys (University of Amsterdam), Paul Baireuther (Leiden University), Leo Radzihovsky (University of Colorado Boulder). Location: HL226, 2rd floor Huygens Building (Leiden University)

Event details of Quantum and Topological Matter meeting
Date 3 February 2017
Time 13:30 -18:15
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his event is part of a regular series of meetings on Quantum and Topological Matter, sponsored by Delta ITP. The objective is to bring together the theoretical physics communities in Amsterdam, Leiden and Utrecht. We encourage researchers from different areas in theoretical physics to participate!

Programme

13:30 - 14:00 Coffee, Tea  

14:00 - 15:00 Pieter Claeys, Amsterdam 

Richardson-Gaudin models and (topological) superconductivity  

15:00 - 16:00 Paul Baireuther, Leiden 

Quantum error correction with neural networks 

16:00 - 16:30 Coffee, Tea  

16:30 - 17:30 Leo Radzihovsky, University of Colorado Boulder 

Disorder-driven transition in Dirac semimetals and semiconductors  

17:30 - 18:15 Drinks & Snacks

Abstracts  

Pieter Claeys, Amsterdam

Richardson-Gaudin models and (topological) superconductivity 

Richardson-Gaudin integrable models are special players within the general frame-work of many-body systems. While their underlying algebraic structure allows for an exact solution by Bethe Ansatz, the large freedom left in their construction makes them effective models for an extensive range of physical phenomena such as superconductivity and quantum magnetism. After a general introduction to these models, I will discuss a specific Richardson-Gaudin model describing topological superconductivity in a p-wave superconductor, focusing on the role of sym-metries in the phase diagram. By breaking the symmetries of this models, the subtle interplay between different symmetry sectors can be uncovered, shedding some light on the structure of the (Bethe Ansatz) wave functions and providing physical insight in the phase transition.

Leo Radzihovsky, University of Colorado Boulder

Disorder-driven transition in Dirac semimetals and semiconductors  

Motivated by Weyl semimetals and weakly doped semiconductors, I will discuss recent work on non-Anderson disorder-driven criticality in weakly doped semimetals and semiconductors. I will show that above a critical dimensions at low-electron density these systems generically exhibit a novel disorder-driven quantum phase transition that manifests itself in the critical behavior of the single particle density of states, electrical transport, wavefunction multi-fractality and other observables. These can be computed via a controlled renormalization-group analysis.

Location

HL226, 2rd floor Huygens Building, Niels Bohrweg 2, Leiden

Organisers

Cristiane Morais Smith (Utrecht)

Vadim Cheianov (Leiden)

Vladimir Gritsev (Amsterdam)