Adiabatic projection method with Euclidean time subspace projection

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dc.authorid0000-0002-7951-1991en_US
dc.contributor.authorElhatisari, Serdar
dc.date.accessioned2019-12-06T21:15:04Z
dc.date.available2019-12-06T21:15:04Z
dc.date.issued2019
dc.departmentKMÜ, Mühendislik Fakültesi, Enerji Sistemleri Mühendisliği Bölümüen_US
dc.descriptionWOS:000483871600003en_US
dc.description.abstractEuclidean time projection is a powerful tool that uses exponential decay to extract the low-energy information of quantum systems. The adiabatic projection method, which is based on Euclidean time projection, is a procedure for studying scattering and reactions on the lattice. The method constructs the adiabatic Hamiltonian that gives the low-lying energies and wave functions of two-cluster systems. In this paper we seek the answer to the question whether an adiabatic Hamiltonian constructed in a smaller subspace of the two-cluster state space can still provide information on the low-lying spectrum and the corresponding wave functions. We present the results from our investigations on constructing the adiabatic Hamiltonian using Euclidean time projection and extracting details of the low-energy spectrum and wave functions by diagonalizing it. In our analyses we consider systems of fermion-fermion and fermion-dimer interacting via a zero-range attractive potential in one dimension, and fermion-fermion interacting via an attractive Gaussian potential in three dimensions. The results presented here provide a guide for improving the adiabatic projection method and for reducing the computational costs of large-scale calculations of ab initio nuclear scattering and reactions using Monte Carlo methods.en_US
dc.description.sponsorshipScientific and Technological Research Council of Turkey (TUBITAK)Turkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK) [116F400]en_US
dc.description.sponsorshipThe author is grateful to Dean Lee and Ulf-G. Meissner for stimulating discussions and for carefully reading the manuscript. This work is supported by the Scientific and Technological Research Council of Turkey (TUBITAK) project no. 116F400.en_US
dc.identifier.citationElhatisari, S. (2019). Adiabatic projection method with Euclidean time subspace projection. European Physical Journal A, 55, 8.
dc.identifier.doi10.1140/epja/i2019-12844-9
dc.identifier.issn1434-6001
dc.identifier.issn1434-601X
dc.identifier.issue8en_US
dc.identifier.scopus2-s2.0-85071479379
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://dx.doi.org/10.1140/epja/i2019-12844-9
dc.identifier.urihttps://hdl.handle.net/11492/2410
dc.identifier.volume55en_US
dc.identifier.wosWOS:000483871600003
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Sceince
dc.indekslendigikaynakScopus
dc.institutionauthorElhatisari, Serdar
dc.language.isoen
dc.publisherSpringeren_US
dc.relation.journalEuropean Physical Journal Aen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.titleAdiabatic projection method with Euclidean time subspace projectionen_US
dc.typeArticle

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