Displacement Transformations as a Tool to Study Many-Body Localization

We obtain eigenstates of interacting disorder Hamiltonians using unitary displacement transformations that rotate the state of the system. The method generates excited states if the strength of these transformations is chosen to optimize the energy, while decreasing the energy variance. We apply the...

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Autores principales:	Pablo Serna, Miguel Ortuño, Andrés M. Somoza
Formato:	article
Lenguaje:	EN
Publicado:	Frontiers Media S.A. 2021
Materias:	localization interaction disorder fermions displacement transformations Physics QC1-999
Acceso en línea:	https://doaj.org/article/dbd10db850514fd788f524db5f9bfb10
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spelling	oai:doaj.org-article:dbd10db850514fd788f524db5f9bfb102021-11-18T09:34:27ZDisplacement Transformations as a Tool to Study Many-Body Localization2296-424X10.3389/fphy.2021.767001https://doaj.org/article/dbd10db850514fd788f524db5f9bfb102021-11-01T00:00:00Zhttps://www.frontiersin.org/articles/10.3389/fphy.2021.767001/fullhttps://doaj.org/toc/2296-424XWe obtain eigenstates of interacting disorder Hamiltonians using unitary displacement transformations that rotate the state of the system. The method generates excited states if the strength of these transformations is chosen to optimize the energy, while decreasing the energy variance. We apply the method to analyse the localization properties of one-dimensional spinless fermions with short range interactions, reaching relatively large system sizes. We quantify the degree of localization through the size and disorder dependence of the inverse participation ratio.Pablo SernaMiguel OrtuñoAndrés M. SomozaFrontiers Media S.A.articlelocalizationinteractiondisorderfermionsdisplacement transformationsPhysicsQC1-999ENFrontiers in Physics, Vol 9 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	localization interaction disorder fermions displacement transformations Physics QC1-999
spellingShingle	localization interaction disorder fermions displacement transformations Physics QC1-999 Pablo Serna Miguel Ortuño Andrés M. Somoza Displacement Transformations as a Tool to Study Many-Body Localization
description	We obtain eigenstates of interacting disorder Hamiltonians using unitary displacement transformations that rotate the state of the system. The method generates excited states if the strength of these transformations is chosen to optimize the energy, while decreasing the energy variance. We apply the method to analyse the localization properties of one-dimensional spinless fermions with short range interactions, reaching relatively large system sizes. We quantify the degree of localization through the size and disorder dependence of the inverse participation ratio.
format	article
author	Pablo Serna Miguel Ortuño Andrés M. Somoza
author_facet	Pablo Serna Miguel Ortuño Andrés M. Somoza
author_sort	Pablo Serna
title	Displacement Transformations as a Tool to Study Many-Body Localization
title_short	Displacement Transformations as a Tool to Study Many-Body Localization
title_full	Displacement Transformations as a Tool to Study Many-Body Localization
title_fullStr	Displacement Transformations as a Tool to Study Many-Body Localization
title_full_unstemmed	Displacement Transformations as a Tool to Study Many-Body Localization
title_sort	displacement transformations as a tool to study many-body localization
publisher	Frontiers Media S.A.
publishDate	2021
url	https://doaj.org/article/dbd10db850514fd788f524db5f9bfb10
work_keys_str_mv	AT pabloserna displacementtransformationsasatooltostudymanybodylocalization AT miguelortuno displacementtransformationsasatooltostudymanybodylocalization AT andresmsomoza displacementtransformationsasatooltostudymanybodylocalization
_version_	1718420933083922432

Displacement Transformations as a Tool to Study Many-Body Localization

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