Robust preparation of many-body ground states in Jaynes–Cummings lattices

Abstract Strongly correlated polaritons in Jaynes–Cummings (JC) lattices can exhibit quantum phase transitions between the Mott-insulating and superfluid phases at integer fillings. The prerequisite to observe such phase transitions is to pump polariton excitations into a JC lattice and prepare them...

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Autores principales:	Kang Cai, Prabin Parajuli, Guilu Long, Chee Wei Wong, Lin Tian
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Physics QC1-999 Electronic computers. Computer science QA75.5-76.95
Acceso en línea:	https://doaj.org/article/01115fdd5e5542d5a588c35b118c63da
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spelling	oai:doaj.org-article:01115fdd5e5542d5a588c35b118c63da2021-12-02T17:51:53ZRobust preparation of many-body ground states in Jaynes–Cummings lattices10.1038/s41534-021-00433-y2056-6387https://doaj.org/article/01115fdd5e5542d5a588c35b118c63da2021-06-01T00:00:00Zhttps://doi.org/10.1038/s41534-021-00433-yhttps://doaj.org/toc/2056-6387Abstract Strongly correlated polaritons in Jaynes–Cummings (JC) lattices can exhibit quantum phase transitions between the Mott-insulating and superfluid phases at integer fillings. The prerequisite to observe such phase transitions is to pump polariton excitations into a JC lattice and prepare them into appropriate ground states. Despite previous efforts, it is still challenging to generate many-body states with high accuracy. Here, we present an approach for the robust preparation of many-body ground states of polaritons in finite-sized JC lattices by optimized nonlinear ramping. We apply a Landau–Zener type of estimation to this finite-sized system and derive the optimal ramping index for selected ramping trajectories, which can greatly improve the fidelity of the prepared states. With numerical simulation, we show that by choosing an appropriate ramping trajectory, the fidelity in this approach can remain close to unity in almost the entire parameter space. This approach can shed light on high-fidelity state preparation in quantum simulators and advance the implementation of quantum simulation with practical devices.Kang CaiPrabin ParajuliGuilu LongChee Wei WongLin TianNature PortfolioarticlePhysicsQC1-999Electronic computers. Computer scienceQA75.5-76.95ENnpj Quantum Information, Vol 7, Iss 1, Pp 1-9 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999 Electronic computers. Computer science QA75.5-76.95
spellingShingle	Physics QC1-999 Electronic computers. Computer science QA75.5-76.95 Kang Cai Prabin Parajuli Guilu Long Chee Wei Wong Lin Tian Robust preparation of many-body ground states in Jaynes–Cummings lattices
description	Abstract Strongly correlated polaritons in Jaynes–Cummings (JC) lattices can exhibit quantum phase transitions between the Mott-insulating and superfluid phases at integer fillings. The prerequisite to observe such phase transitions is to pump polariton excitations into a JC lattice and prepare them into appropriate ground states. Despite previous efforts, it is still challenging to generate many-body states with high accuracy. Here, we present an approach for the robust preparation of many-body ground states of polaritons in finite-sized JC lattices by optimized nonlinear ramping. We apply a Landau–Zener type of estimation to this finite-sized system and derive the optimal ramping index for selected ramping trajectories, which can greatly improve the fidelity of the prepared states. With numerical simulation, we show that by choosing an appropriate ramping trajectory, the fidelity in this approach can remain close to unity in almost the entire parameter space. This approach can shed light on high-fidelity state preparation in quantum simulators and advance the implementation of quantum simulation with practical devices.
format	article
author	Kang Cai Prabin Parajuli Guilu Long Chee Wei Wong Lin Tian
author_facet	Kang Cai Prabin Parajuli Guilu Long Chee Wei Wong Lin Tian
author_sort	Kang Cai
title	Robust preparation of many-body ground states in Jaynes–Cummings lattices
title_short	Robust preparation of many-body ground states in Jaynes–Cummings lattices
title_full	Robust preparation of many-body ground states in Jaynes–Cummings lattices
title_fullStr	Robust preparation of many-body ground states in Jaynes–Cummings lattices
title_full_unstemmed	Robust preparation of many-body ground states in Jaynes–Cummings lattices
title_sort	robust preparation of many-body ground states in jaynes–cummings lattices
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/01115fdd5e5542d5a588c35b118c63da
work_keys_str_mv	AT kangcai robustpreparationofmanybodygroundstatesinjaynescummingslattices AT prabinparajuli robustpreparationofmanybodygroundstatesinjaynescummingslattices AT guilulong robustpreparationofmanybodygroundstatesinjaynescummingslattices AT cheeweiwong robustpreparationofmanybodygroundstatesinjaynescummingslattices AT lintian robustpreparationofmanybodygroundstatesinjaynescummingslattices
_version_	1718379208290336768

Robust preparation of many-body ground states in Jaynes–Cummings lattices

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