Theoretical aspects of analogue quantum simulation

A. J. Daley*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

1 Citation (Scopus)

Abstract

In these lectures, we discuss theoretical aspects of analogue quantum simulation, focussing on ultracold atoms in optical lattices as a specific example. We touch on the motivation for quantum simulation, before going into detail on the first-principles microscopic understanding of the system that allows us to use ultra-cold atoms as quantum simulators. This level of understanding and control crucially also exists for the dominant dissipative processes in experiments. We conclude by discussing the verification of quantum simulators, comparison with classical simulations, and the current role of many-body entanglement in this discussion.

Original languageEnglish
Title of host publicationQuantum Simulators
EditorsT. Calarco, R. Fazio, P. Mataloni
Place of Publication[S.I.]
PublisherIOS Press
Pages55-110
Number of pages56
ISBN (Print)978-1-61499-855-6
DOIs
Publication statusPublished - 15 May 2018
Event2016 International School of Physics "Enrico Fermi" on Quantum Simulators - Varenna, Italy
Duration: 22 Jul 201627 Jul 2016

Publication series

Name Proceedings of the International School of Physics "Enrico Fermi"
PublisherIOS Press
Volume198

Conference

Conference2016 International School of Physics "Enrico Fermi" on Quantum Simulators
Country/TerritoryItaly
CityVarenna
Period22/07/1627/07/16

Funding

The material in these lecture notes summarises things that I have learned from interactions with many people, and I would especially like to thank all of my collaborators in this area over the past 15 years, especially my PhD students. I would also particularly like to thank Peter Zoller for first introducing me to this subject area, and to a lot of the concepts presented in this lecture. I would like to thank Liam Walker, Stuart Flannigan, Jange Yago, and Rosaria Lena for their helpful comments on the manuscript. Work on ultracold atoms in optical lattices in our theory group at the University of Strathclyde is supported by the EPSRC Programme Grant DesOEQ (EP/P009565/1), by the European Union Horizon 2020 collaborative project QuProCS - Quantum Probes for Complex Systems (grant agreement 641277), and by the EOARD via AFOSR grant number FA2386-14-1-5003.

Keywords

  • cold atoms
  • optical lattice
  • ultracold atoms

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