Quantum Simulation of Antiferromagnetic Heisenberg Chain with Gate-Defined Quantum Dots

Quantum-mechanical correlations of interacting fermions result in the emergence of exotic phases. Magnetic phases naturally arise in the Mott-insulator regime of the Fermi-Hubbard model, where charges are localized and the spin degree of freedom remains. In this regime, the occurrence of phenomena s...

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Autores principales:	C. J. van Diepen, T.-K. Hsiao, U. Mukhopadhyay, C. Reichl, W. Wegscheider, L. M. K. Vandersypen
Formato:	article
Lenguaje:	EN
Publicado:	American Physical Society 2021
Materias:	Physics QC1-999
Acceso en línea:	https://doaj.org/article/4c7554ec1382460b9998b6132b72796f
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spelling	oai:doaj.org-article:4c7554ec1382460b9998b6132b72796f2021-11-04T14:31:29ZQuantum Simulation of Antiferromagnetic Heisenberg Chain with Gate-Defined Quantum Dots10.1103/PhysRevX.11.0410252160-3308https://doaj.org/article/4c7554ec1382460b9998b6132b72796f2021-11-01T00:00:00Zhttp://doi.org/10.1103/PhysRevX.11.041025http://doi.org/10.1103/PhysRevX.11.041025https://doaj.org/toc/2160-3308Quantum-mechanical correlations of interacting fermions result in the emergence of exotic phases. Magnetic phases naturally arise in the Mott-insulator regime of the Fermi-Hubbard model, where charges are localized and the spin degree of freedom remains. In this regime, the occurrence of phenomena such as resonating valence bonds, frustrated magnetism, and spin liquids is predicted. Quantum systems with engineered Hamiltonians can be used as simulators of such spin physics to provide insights beyond the capabilities of analytical methods and classical computers. To be useful, methods for the preparation of intricate many-body spin states and access to relevant observables are required. Here, we show the quantum simulation of magnetism in the Mott-insulator regime with a linear quantum-dot array. We characterize the energy spectrum for a Heisenberg spin chain, from which we can identify when the conditions for homogeneous exchange couplings are met. Next, we study the multispin coherence with global exchange oscillations in both the singlet and triplet subspace of the Heisenberg Hamiltonian. Last, we adiabatically prepare the low-energy global singlet of the homogeneous spin chain and probe it with two-spin singlet-triplet measurements on each nearest-neighbor pair and the correlations therein. The methods and control presented here open new opportunities for the simulation of quantum magnetism benefiting from the flexibility in tuning and layout of gate-defined quantum-dot arrays.C. J. van DiepenT.-K. HsiaoU. MukhopadhyayC. ReichlW. WegscheiderL. M. K. VandersypenAmerican Physical SocietyarticlePhysicsQC1-999ENPhysical Review X, Vol 11, Iss 4, p 041025 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 C. J. van Diepen T.-K. Hsiao U. Mukhopadhyay C. Reichl W. Wegscheider L. M. K. Vandersypen Quantum Simulation of Antiferromagnetic Heisenberg Chain with Gate-Defined Quantum Dots
description	Quantum-mechanical correlations of interacting fermions result in the emergence of exotic phases. Magnetic phases naturally arise in the Mott-insulator regime of the Fermi-Hubbard model, where charges are localized and the spin degree of freedom remains. In this regime, the occurrence of phenomena such as resonating valence bonds, frustrated magnetism, and spin liquids is predicted. Quantum systems with engineered Hamiltonians can be used as simulators of such spin physics to provide insights beyond the capabilities of analytical methods and classical computers. To be useful, methods for the preparation of intricate many-body spin states and access to relevant observables are required. Here, we show the quantum simulation of magnetism in the Mott-insulator regime with a linear quantum-dot array. We characterize the energy spectrum for a Heisenberg spin chain, from which we can identify when the conditions for homogeneous exchange couplings are met. Next, we study the multispin coherence with global exchange oscillations in both the singlet and triplet subspace of the Heisenberg Hamiltonian. Last, we adiabatically prepare the low-energy global singlet of the homogeneous spin chain and probe it with two-spin singlet-triplet measurements on each nearest-neighbor pair and the correlations therein. The methods and control presented here open new opportunities for the simulation of quantum magnetism benefiting from the flexibility in tuning and layout of gate-defined quantum-dot arrays.
format	article
author	C. J. van Diepen T.-K. Hsiao U. Mukhopadhyay C. Reichl W. Wegscheider L. M. K. Vandersypen
author_facet	C. J. van Diepen T.-K. Hsiao U. Mukhopadhyay C. Reichl W. Wegscheider L. M. K. Vandersypen
author_sort	C. J. van Diepen
title	Quantum Simulation of Antiferromagnetic Heisenberg Chain with Gate-Defined Quantum Dots
title_short	Quantum Simulation of Antiferromagnetic Heisenberg Chain with Gate-Defined Quantum Dots
title_full	Quantum Simulation of Antiferromagnetic Heisenberg Chain with Gate-Defined Quantum Dots
title_fullStr	Quantum Simulation of Antiferromagnetic Heisenberg Chain with Gate-Defined Quantum Dots
title_full_unstemmed	Quantum Simulation of Antiferromagnetic Heisenberg Chain with Gate-Defined Quantum Dots
title_sort	quantum simulation of antiferromagnetic heisenberg chain with gate-defined quantum dots
publisher	American Physical Society
publishDate	2021
url	https://doaj.org/article/4c7554ec1382460b9998b6132b72796f
work_keys_str_mv	AT cjvandiepen quantumsimulationofantiferromagneticheisenbergchainwithgatedefinedquantumdots AT tkhsiao quantumsimulationofantiferromagneticheisenbergchainwithgatedefinedquantumdots AT umukhopadhyay quantumsimulationofantiferromagneticheisenbergchainwithgatedefinedquantumdots AT creichl quantumsimulationofantiferromagneticheisenbergchainwithgatedefinedquantumdots AT wwegscheider quantumsimulationofantiferromagneticheisenbergchainwithgatedefinedquantumdots AT lmkvandersypen quantumsimulationofantiferromagneticheisenbergchainwithgatedefinedquantumdots
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Quantum Simulation of Antiferromagnetic Heisenberg Chain with Gate-Defined Quantum Dots

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