Robust Dynamic Hamiltonian Engineering of Many-Body Spin Systems

We introduce a new approach for the robust control of quantum dynamics of strongly interacting many-body systems. Our approach involves the design of periodic global control pulse sequences to engineer desired target Hamiltonians that are robust against disorder, unwanted interactions, and pulse imp...

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Autores principales:	Joonhee Choi, Hengyun Zhou, Helena S. Knowles, Renate Landig, Soonwon Choi, Mikhail D. Lukin
Formato:	article
Lenguaje:	EN
Publicado:	American Physical Society 2020
Materias:	Physics QC1-999
Acceso en línea:	https://doaj.org/article/d9c2fe908f96471291471bd12fe8a5e4
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spelling	oai:doaj.org-article:d9c2fe908f96471291471bd12fe8a5e42021-12-02T12:31:05ZRobust Dynamic Hamiltonian Engineering of Many-Body Spin Systems10.1103/PhysRevX.10.0310022160-3308https://doaj.org/article/d9c2fe908f96471291471bd12fe8a5e42020-07-01T00:00:00Zhttp://doi.org/10.1103/PhysRevX.10.031002http://doi.org/10.1103/PhysRevX.10.031002https://doaj.org/toc/2160-3308We introduce a new approach for the robust control of quantum dynamics of strongly interacting many-body systems. Our approach involves the design of periodic global control pulse sequences to engineer desired target Hamiltonians that are robust against disorder, unwanted interactions, and pulse imperfections. It utilizes a matrix representation of the Hamiltonian engineering protocol based on time-domain transformations of the Pauli spin operator along the quantization axis. This representation allows us to derive a concise set of algebraic conditions on the sequence matrix to engineer robust target Hamiltonians, enabling the simple yet systematic design of pulse sequences. We show that this approach provides an efficient framework to (i) treat any secular many-body Hamiltonian and engineer it into a desired form, (ii) target dominant disorder and interaction characteristics of a given system, (iii) achieve robustness against imperfections, (iv) provide optimal sequence length within given constraints, and (v) substantially accelerate numerical searches of pulse sequences. Using this systematic approach, we develop novel sets of pulse sequences for the protection of quantum coherence, optimal quantum sensing, and quantum simulation. Finally, we experimentally demonstrate the robust operation of these sequences in a system with the most general interaction form.Joonhee ChoiHengyun ZhouHelena S. KnowlesRenate LandigSoonwon ChoiMikhail D. LukinAmerican Physical SocietyarticlePhysicsQC1-999ENPhysical Review X, Vol 10, Iss 3, p 031002 (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 Joonhee Choi Hengyun Zhou Helena S. Knowles Renate Landig Soonwon Choi Mikhail D. Lukin Robust Dynamic Hamiltonian Engineering of Many-Body Spin Systems
description	We introduce a new approach for the robust control of quantum dynamics of strongly interacting many-body systems. Our approach involves the design of periodic global control pulse sequences to engineer desired target Hamiltonians that are robust against disorder, unwanted interactions, and pulse imperfections. It utilizes a matrix representation of the Hamiltonian engineering protocol based on time-domain transformations of the Pauli spin operator along the quantization axis. This representation allows us to derive a concise set of algebraic conditions on the sequence matrix to engineer robust target Hamiltonians, enabling the simple yet systematic design of pulse sequences. We show that this approach provides an efficient framework to (i) treat any secular many-body Hamiltonian and engineer it into a desired form, (ii) target dominant disorder and interaction characteristics of a given system, (iii) achieve robustness against imperfections, (iv) provide optimal sequence length within given constraints, and (v) substantially accelerate numerical searches of pulse sequences. Using this systematic approach, we develop novel sets of pulse sequences for the protection of quantum coherence, optimal quantum sensing, and quantum simulation. Finally, we experimentally demonstrate the robust operation of these sequences in a system with the most general interaction form.
format	article
author	Joonhee Choi Hengyun Zhou Helena S. Knowles Renate Landig Soonwon Choi Mikhail D. Lukin
author_facet	Joonhee Choi Hengyun Zhou Helena S. Knowles Renate Landig Soonwon Choi Mikhail D. Lukin
author_sort	Joonhee Choi
title	Robust Dynamic Hamiltonian Engineering of Many-Body Spin Systems
title_short	Robust Dynamic Hamiltonian Engineering of Many-Body Spin Systems
title_full	Robust Dynamic Hamiltonian Engineering of Many-Body Spin Systems
title_fullStr	Robust Dynamic Hamiltonian Engineering of Many-Body Spin Systems
title_full_unstemmed	Robust Dynamic Hamiltonian Engineering of Many-Body Spin Systems
title_sort	robust dynamic hamiltonian engineering of many-body spin systems
publisher	American Physical Society
publishDate	2020
url	https://doaj.org/article/d9c2fe908f96471291471bd12fe8a5e4
work_keys_str_mv	AT joonheechoi robustdynamichamiltonianengineeringofmanybodyspinsystems AT hengyunzhou robustdynamichamiltonianengineeringofmanybodyspinsystems AT helenasknowles robustdynamichamiltonianengineeringofmanybodyspinsystems AT renatelandig robustdynamichamiltonianengineeringofmanybodyspinsystems AT soonwonchoi robustdynamichamiltonianengineeringofmanybodyspinsystems AT mikhaildlukin robustdynamichamiltonianengineeringofmanybodyspinsystems
_version_	1718394309785419776

Robust Dynamic Hamiltonian Engineering of Many-Body Spin Systems

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