Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series SEM-LPTM-UCP
Subjects cond-mat
Date Thursday 19 September 2019
Time 14:00
Institute LPTM
Seminar Room 4.13 St Martin II
Speaker's Last Name Decamp
Speaker's First Name Jean
Speaker's Email Address
Speaker's Institution Center for Quantum Technologies, NUS, Singapore
Title "Symmetry, Tan Contact and Spectral Gap in One-dimensional Fermions: A Graph Theory Treatment"
Abstract "In the limit of strong repulsion, one-dimensional atomic mixtures of fermions realize an effective spin chain, and are thus a clean and controllable platform for the study of quantum magnetism or in the context of quantum computation. In the work I will present you, we interpret this model in terms of spectral graph theory. This well-studied mathematical framework allows us to completely characterize the symmetry properties of the system and to develop a powerful method to compute the Tan contacts associated with certain symmetry classes. In particular, compared to brute force diagonalization, our technique enables us to obtain much more efficiently the energy gap of complex spin mixtures, which is of central importance for the design of adiabatic control of correlated quantum systems."
arXiv Preprint Number

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