Theory of Quantum Matter Unit (Nic Shannon)

Theory of Quantum Matter

This is particularly true where a large number of quantum obejcts interact, whether these Helium atoms in a superfluid, electrons in a superconductor, cold atoms in an optical trap, or quibits in a quantum computer.    In all of these cases, the behaviour of the whole can be very different from the sum of the parts.
The Theory of Quantum Matter group uses a wide range of numerical and analytic techniques to explore these phenomena.  Interests represented in the group include novel phases in quantum materials; topological aspects of quantum matter; statistical physics; the application of machine learning to problems in many-body physics; and many-body aspects of quantum computing.
The group has a particular insterest in frustrated magnets - systems torn between one choice and another.  The way in which these materials resolve their difficulties has proved a constant source of beautiful, and unexpected, new ideas.  We also work closely with experimental physicists, and chemists developing new quantum materials.
You can read more about this work in our Annual Reports, as well as in the papers listed on our Publications page.

Selected Recent Publications

"Solution of SAT Problems with the Adaptive-Bias Quantum Approximate Optimization Algorithm"
Yunlong Yu, Chenfeng Cao, Xiang-Bin Wang, Nic Shannon and Robert Joynt
Phys. Rev. Research 5, 023147 (2023)

"Dynamical scaling as a signature of multiple phase competition in Yb2Ti2O7"
Allen Scheie, Owen Benton, Matthieu Taillefumier, Ludovic D.C. Jaubert, Gabrielle Sala, Niina Jalarvo, Seyed M. Koohpayeh, and Nic Shannon
Phys. Rev. Lett. 129, 217202 (2022)

"Semi-classical simulation of spin-1 magnets"
Kimberly Remund, Rico Pohle, Yutaka Akagi, Judit Romhanyi and Nic Shannon
Phys. Rev. Research 4, 033106 (2022)

"Rank-2 U(1) spin liquid on the breathing pyrochlore lattice"
Han Yan, Owen Benton, Ludovic D.C. Jaubert and Nic Shannon
Phys. Rev. Lett. 124, 127203 (2020)

"Identification of emergent constraints and hidden order in frustrated magnets using tensorial kernel methods of machine learning"
Jonas Greitemann, Ke Liu, Ludovic D.C. Jaubert, Han Yan, Nic Shannon and Lode Pollet
Phys. Rev. B 100, 174408 (2019)

"Experimental signatures of emergent quantum electrodynamics in a quantum spin ice"
Romain Sibille, Nicolas Gauthier, Han Yan, Monica Ciomaga Hatnean, Jacques Ollivier, Barry Winn, Geetha Balakrishnan, Michel Kenzelmann, Nic Shannon, Tom Fennell
Nature Physics 14, 711-715 (2018)