Persistence of topological phases in non-Hermitian quantum walks

Abstract Discrete-time quantum walks are known to exhibit exotic topological states and phases. Physical realization of quantum walks in a lossy environment may destroy these phases. We investigate the behaviour of topological states in quantum walks in the presence of a lossy environment. The envir...

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Autores principales:	Vikash Mittal, Aswathy Raj, Sanjib Dey, Sandeep K. Goyal
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/b734bf7f37b641dda53f78b6d721c1e6
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spelling	oai:doaj.org-article:b734bf7f37b641dda53f78b6d721c1e62021-12-02T16:50:31ZPersistence of topological phases in non-Hermitian quantum walks10.1038/s41598-021-89441-82045-2322https://doaj.org/article/b734bf7f37b641dda53f78b6d721c1e62021-05-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-89441-8https://doaj.org/toc/2045-2322Abstract Discrete-time quantum walks are known to exhibit exotic topological states and phases. Physical realization of quantum walks in a lossy environment may destroy these phases. We investigate the behaviour of topological states in quantum walks in the presence of a lossy environment. The environmental effects in the quantum walk dynamics are addressed using the non-Hermitian Hamiltonian approach. We show that the topological phases of the quantum walks are robust against moderate losses. The topological order in one-dimensional split-step quantum walk persists as long as the Hamiltonian respects exact $${{\mathcal {P}}}{{\mathcal {T}}}$$ P T -symmetry. Although the topological nature persists in two-dimensional quantum walks as well, the $${{\mathcal {P}}}{{\mathcal {T}}}$$ P T -symmetry has no role to play there. Furthermore, we observe topological phase transition in two-dimensional quantum walks that is induced by losses in the system.Vikash MittalAswathy RajSanjib DeySandeep K. GoyalNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-13 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Vikash Mittal Aswathy Raj Sanjib Dey Sandeep K. Goyal Persistence of topological phases in non-Hermitian quantum walks
description	Abstract Discrete-time quantum walks are known to exhibit exotic topological states and phases. Physical realization of quantum walks in a lossy environment may destroy these phases. We investigate the behaviour of topological states in quantum walks in the presence of a lossy environment. The environmental effects in the quantum walk dynamics are addressed using the non-Hermitian Hamiltonian approach. We show that the topological phases of the quantum walks are robust against moderate losses. The topological order in one-dimensional split-step quantum walk persists as long as the Hamiltonian respects exact $${{\mathcal {P}}}{{\mathcal {T}}}$$ P T -symmetry. Although the topological nature persists in two-dimensional quantum walks as well, the $${{\mathcal {P}}}{{\mathcal {T}}}$$ P T -symmetry has no role to play there. Furthermore, we observe topological phase transition in two-dimensional quantum walks that is induced by losses in the system.
format	article
author	Vikash Mittal Aswathy Raj Sanjib Dey Sandeep K. Goyal
author_facet	Vikash Mittal Aswathy Raj Sanjib Dey Sandeep K. Goyal
author_sort	Vikash Mittal
title	Persistence of topological phases in non-Hermitian quantum walks
title_short	Persistence of topological phases in non-Hermitian quantum walks
title_full	Persistence of topological phases in non-Hermitian quantum walks
title_fullStr	Persistence of topological phases in non-Hermitian quantum walks
title_full_unstemmed	Persistence of topological phases in non-Hermitian quantum walks
title_sort	persistence of topological phases in non-hermitian quantum walks
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/b734bf7f37b641dda53f78b6d721c1e6
work_keys_str_mv	AT vikashmittal persistenceoftopologicalphasesinnonhermitianquantumwalks AT aswathyraj persistenceoftopologicalphasesinnonhermitianquantumwalks AT sanjibdey persistenceoftopologicalphasesinnonhermitianquantumwalks AT sandeepkgoyal persistenceoftopologicalphasesinnonhermitianquantumwalks
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Persistence of topological phases in non-Hermitian quantum walks

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