Analytical results for a coagulation/decoagulation model on an inhomogeneous lattice

Analytical results for a coagulation/decoagulation model on an inhomogeneous lattice

We show that an inhomogeneous coagulation/decoagulation model can be mapped to a quadratic fermionic model via a Jordan-Wigner transformation. The spectrum for this inhomogeneous model is computed exactly and the spectral gap is described for some examples. We construct our inhomogeneous model fr...

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Main Author: Nicolas Crampé
Format: Article
Language:English
Published: SciPost 2017-02-01
Series:SciPost Physics
Online Access:https://scipost.org/SciPostPhys.2.1.006
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spelling doaj-5d4e28d700c548b888c297e9a120a65d2020-11-24T21:00:45ZengSciPostSciPost Physics2542-46532017-02-012100610.21468/SciPostPhys.2.1.006Analytical results for a coagulation/decoagulation model on an inhomogeneous latticeNicolas CrampéWe show that an inhomogeneous coagulation/decoagulation model can be mapped to a quadratic fermionic model via a Jordan-Wigner transformation. The spectrum for this inhomogeneous model is computed exactly and the spectral gap is described for some examples. We construct our inhomogeneous model from two different homogeneous models joined by one special bond (impurity). The homogeneous models we started with are the coagulation/decoagulation models studied previously using the Jordan-Wigner transformation.https://scipost.org/SciPostPhys.2.1.006
collection DOAJ
language English
format Article
sources DOAJ
author Nicolas Crampé
spellingShingle Nicolas Crampé
Analytical results for a coagulation/decoagulation model on an inhomogeneous lattice
SciPost Physics
author_facet Nicolas Crampé
author_sort Nicolas Crampé
title Analytical results for a coagulation/decoagulation model on an inhomogeneous lattice
title_short Analytical results for a coagulation/decoagulation model on an inhomogeneous lattice
title_full Analytical results for a coagulation/decoagulation model on an inhomogeneous lattice
title_fullStr Analytical results for a coagulation/decoagulation model on an inhomogeneous lattice
title_full_unstemmed Analytical results for a coagulation/decoagulation model on an inhomogeneous lattice
title_sort analytical results for a coagulation/decoagulation model on an inhomogeneous lattice
publisher SciPost
series SciPost Physics
issn 2542-4653
publishDate 2017-02-01
description We show that an inhomogeneous coagulation/decoagulation model can be mapped to a quadratic fermionic model via a Jordan-Wigner transformation. The spectrum for this inhomogeneous model is computed exactly and the spectral gap is described for some examples. We construct our inhomogeneous model from two different homogeneous models joined by one special bond (impurity). The homogeneous models we started with are the coagulation/decoagulation models studied previously using the Jordan-Wigner transformation.
url https://scipost.org/SciPostPhys.2.1.006
work_keys_str_mv AT nicolascrampe analyticalresultsforacoagulationdecoagulationmodelonaninhomogeneouslattice
_version_ 1716778925252673536

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