Two component quantum walk in one-dimensional lattice with hopping imbalance

Abstract We investigate the two-component quantum walk in one-dimensional lattice. We show that the inter-component interaction strength together with the hopping imbalance between the components exhibit distinct features in the quantum walk for different initial states. When the walkers are initial...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Mrinal Kanti Giri, Suman Mondal, Bhanu Pratap Das, Tapan Mishra
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/d1770baa6b274384beebe5e5b6b295e5
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:d1770baa6b274384beebe5e5b6b295e5
record_format	dspace
spelling	oai:doaj.org-article:d1770baa6b274384beebe5e5b6b295e52021-11-14T12:20:23ZTwo component quantum walk in one-dimensional lattice with hopping imbalance10.1038/s41598-021-01230-52045-2322https://doaj.org/article/d1770baa6b274384beebe5e5b6b295e52021-11-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-01230-5https://doaj.org/toc/2045-2322Abstract We investigate the two-component quantum walk in one-dimensional lattice. We show that the inter-component interaction strength together with the hopping imbalance between the components exhibit distinct features in the quantum walk for different initial states. When the walkers are initially on the same site, both the slow and fast particles perform independent particle quantum walks when the interaction between them is weak. However, stronger inter-particle interactions result in quantum walks by the repulsively bound pair formed between the two particles. For different initial states when the walkers are on different sites initially, the quantum walk performed by the slow particle is almost independent of that of the fast particle, which exhibits reflected and transmitted components across the particle with large hopping strength for weak interactions. Beyond a critical value of the interaction strength, the wave function of the fast particle ceases to penetrate through the slow particle signalling a spatial phase separation. However, when the two particles are initially at the two opposite edges of the lattice, then the interaction facilitates the complete reflection of both of them from each other. We analyze the above mentioned features by examining various physical quantities such as the on-site density evolution, two-particle correlation functions and transmission coefficients.Mrinal Kanti GiriSuman MondalBhanu Pratap DasTapan MishraNature 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 Mrinal Kanti Giri Suman Mondal Bhanu Pratap Das Tapan Mishra Two component quantum walk in one-dimensional lattice with hopping imbalance
description	Abstract We investigate the two-component quantum walk in one-dimensional lattice. We show that the inter-component interaction strength together with the hopping imbalance between the components exhibit distinct features in the quantum walk for different initial states. When the walkers are initially on the same site, both the slow and fast particles perform independent particle quantum walks when the interaction between them is weak. However, stronger inter-particle interactions result in quantum walks by the repulsively bound pair formed between the two particles. For different initial states when the walkers are on different sites initially, the quantum walk performed by the slow particle is almost independent of that of the fast particle, which exhibits reflected and transmitted components across the particle with large hopping strength for weak interactions. Beyond a critical value of the interaction strength, the wave function of the fast particle ceases to penetrate through the slow particle signalling a spatial phase separation. However, when the two particles are initially at the two opposite edges of the lattice, then the interaction facilitates the complete reflection of both of them from each other. We analyze the above mentioned features by examining various physical quantities such as the on-site density evolution, two-particle correlation functions and transmission coefficients.
format	article
author	Mrinal Kanti Giri Suman Mondal Bhanu Pratap Das Tapan Mishra
author_facet	Mrinal Kanti Giri Suman Mondal Bhanu Pratap Das Tapan Mishra
author_sort	Mrinal Kanti Giri
title	Two component quantum walk in one-dimensional lattice with hopping imbalance
title_short	Two component quantum walk in one-dimensional lattice with hopping imbalance
title_full	Two component quantum walk in one-dimensional lattice with hopping imbalance
title_fullStr	Two component quantum walk in one-dimensional lattice with hopping imbalance
title_full_unstemmed	Two component quantum walk in one-dimensional lattice with hopping imbalance
title_sort	two component quantum walk in one-dimensional lattice with hopping imbalance
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/d1770baa6b274384beebe5e5b6b295e5
work_keys_str_mv	AT mrinalkantigiri twocomponentquantumwalkinonedimensionallatticewithhoppingimbalance AT sumanmondal twocomponentquantumwalkinonedimensionallatticewithhoppingimbalance AT bhanupratapdas twocomponentquantumwalkinonedimensionallatticewithhoppingimbalance AT tapanmishra twocomponentquantumwalkinonedimensionallatticewithhoppingimbalance
_version_	1718429316672389120

Two component quantum walk in one-dimensional lattice with hopping imbalance

Ejemplares similares