Theoretical aspects of analogue quantum simulation

A. J. Daley

doi:10.3254/978-1-61499-856-3-55

Theoretical aspects of analogue quantum simulation

A. J. Daley^*

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Other 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 language	English
Title of host publication	Quantum Simulators
Editors	T. Calarco, R. Fazio, P. Mataloni
Place of Publication	[S.I.]
Publisher	IOS Press
Pages	55-110
Number of pages	56
ISBN (Print)	978-1-61499-855-6
DOIs	https://doi.org/10.3254/978-1-61499-856-3-55
Publication status	Published - 15 May 2018
Event	2016 International School of Physics "Enrico Fermi" on Quantum Simulators - Varenna, Italy Duration: 22 Jul 2016 → 27 Jul 2016

Publication series

Name	Proceedings of the International School of Physics "Enrico Fermi"
Publisher	IOS Press
Volume	198

Conference

Conference	2016 International School of Physics "Enrico Fermi" on Quantum Simulators
Country/Territory	Italy
City	Varenna
Period	22/07/16 → 27/07/16

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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10.3254/978-1-61499-856-3-55

Cite this

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title = "Theoretical aspects of analogue quantum simulation",

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.",

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note = "This is a set of lecture notes from a summer school, and the copyright is owned by the Italian Physical Society, who usually do not allow depositing of preprints or author accepted manuscripts. It is not a refereed manuscript, and is not submittable to REF. ; 2016 International School of Physics {"}Enrico Fermi{"} on Quantum Simulators ; Conference date: 22-07-2016 Through 27-07-2016",

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Daley, AJ 2018, Theoretical aspects of analogue quantum simulation. in T Calarco, R Fazio & P Mataloni (eds), Quantum Simulators. Proceedings of the International School of Physics "Enrico Fermi", vol. 198, IOS Press, [S.I.], pp. 55-110, 2016 International School of Physics "Enrico Fermi" on Quantum Simulators, Varenna, Italy, 22/07/16. https://doi.org/10.3254/978-1-61499-856-3-55

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N1 - This is a set of lecture notes from a summer school, and the copyright is owned by the Italian Physical Society, who usually do not allow depositing of preprints or author accepted manuscripts. It is not a refereed manuscript, and is not submittable to REF.

PY - 2018/5/15

Y1 - 2018/5/15

N2 - 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.

AB - 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.

KW - cold atoms

KW - optical lattice

KW - ultracold atoms

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T3 - Proceedings of the International School of Physics "Enrico Fermi"

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BT - Quantum Simulators

A2 - Calarco, T.

A2 - Fazio, R.

A2 - Mataloni, P.

PB - IOS Press

CY - [S.I.]

T2 - 2016 International School of Physics "Enrico Fermi" on Quantum Simulators

Y2 - 22 July 2016 through 27 July 2016

ER -

Theoretical aspects of analogue quantum simulation

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