Rogue wavefunctions due to noisy quantum tunneling potentials

Basit Öğe Kaydı
dc.authorid0000-0002-3654-0469
dc.contributor.authorBayındır, Cihanen_US
dc.date.accessioned2018-06-22T12:27:01Z
dc.date.available2018-06-22T12:27:01Z
dc.date.issued2017-02-02
dc.departmentIşık Üniversitesi, Mühendislik Fakültesi, İnşaat Mühendisliği Bölümüen_US
dc.departmentIşık University, Faculty of Engineering, Department of Civil Engineeringen_US
dc.description.abstractIn this paper, we study the effects of white-noised potentials on nonlinear quantum tunneling. We use a split-step scheme to numerically solve the nonlinear Schrodinger equation (NLSE) with a tunneling potential. We consider three different types of potentials, namely; the single rectangular barrier, double rectangular barrier, and triangular barrier. For all these three cases, we show that white-noise given to potentials do not trigger modulation instability for tunneling of the sech type soliton solutions of the NLSE. However, white-noised potentials trigger modulation instability for tunneling of the sinusoidal wavefunctions; thus, such a wavefield turns into a chaotic one with many apparent peaks. We argue that peaks of such a field may be in the form of rational rogue wave solutions of the NLSE. Our results can be used to examine the effects of noise on quantum tunneling. Since a rogue wavefunction means a higher probability of the tunneling particle to be at a given (x,t) coordinate, our results may also be used for developing the quantum science and technology with many possible applications including but are not limited to increasing the resolution and efficiency of scanning tunneling microscopes, enhancing proton tunneling for DNA mutation and enhancing superconducting properties of junctions.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationBayındır, C. (2017). Rogue wavefunctions due to noisy quantum tunneling potentials. TWMS Journal of Applied and Engineering Mathematics, 7(2), 236-247.en_US
dc.identifier.endpage247
dc.identifier.issn2146-1147
dc.identifier.issn2587-1013
dc.identifier.issue2
dc.identifier.startpage236
dc.identifier.urihttps://hdl.handle.net/11729/1315
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay/258339
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/96-vol7no2/300
dc.identifier.volume7
dc.identifier.wosWOS:000419257600006
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakTR-Dizinen_US
dc.indekslendigikaynakEmerging Sources Citation Index (ESCI)en_US
dc.institutionauthorBayındır, Cihanen_US
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherIşık University Pressen_US
dc.relation.ispartofTWMS Journal Of Applied And Engineering Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectQuantum tunnelingen_US
dc.subjectRogue wavesen_US
dc.subjectSpectral methodsen_US
dc.subjectNonlinear Schrodinger equationen_US
dc.subjectGravity-wavesen_US
dc.titleRogue wavefunctions due to noisy quantum tunneling potentialsen_US
dc.typeArticleen_US
dspace.entity.typePublication

Dosyalar

Orijinal paket
Listeleniyor 1 - 1 / 1
Küçük Resim
İsim:
vol.7.no.2-06.pdf
Boyut:
883.02 KB
Biçim:
Adobe Portable Document Format
Açıklama:
Publisher's Version
İndir
Lisans paketi
Listeleniyor 1 - 1 / 1
Küçük Resim Yok
İsim:
license.txt
Boyut:
1.71 KB
Biçim:
Item-specific license agreed upon to submission
Açıklama:
İndir

Koleksiyon

Makale Koleksiyonu | İnşaat Mühendisliği Bölümü
JAEM 2017, Vol 7, No 2
TR-Dizin İndeksli Yayınlar Koleksiyonu
WoS İndeksli Yayınlar Koleksiyonu