Show simple item record

dc.rights.licenseCC-BY-NC-ND
dc.contributor.advisorVandoren, S.J.G.
dc.contributor.authorHartmann, D.M.F.
dc.date.accessioned2017-07-19T17:01:28Z
dc.date.available2017-07-19T17:01:28Z
dc.date.issued2017
dc.identifier.urihttps://studenttheses.uu.nl/handle/20.500.12932/26182
dc.description.abstractIn this thesis the entanglement entropy of fermions on sublattices is studied and contrasted with known results for bosons. By studying a $(1+1)$-dimensional periodic lattice and generalizing the notion and theory of circulant matrices to the broader class of phase circulant matrices, the results can be obtained analytically, thus providing a thorough understanding of entanglement entropy of fermion systems. To study the effect of long range coupling, a Lifshitz theory is adapted. To start with, known results for the boson system have been reproduced to provide a background for the fermion results. The results for fermions show, firstly, a significant effect of the boundary conditions on the entanglement entropy. Secondly, a remarkable distinction between massive and massless fermions arises in the result that massless fermions generally have a maximal entanglement entropy. Most striking however, is the insight gained on the effect of long range coupling on the entanglement entropy, where the results for fermions strongly contrast the boson system: the entanglement entropy does not generally increase when long range coupling terms are added. We propose an explanation of this phenomenon by destructive interference. These results provide new and profound insights on entanglement of fermion systems.
dc.description.sponsorshipUtrecht University
dc.format.extent32350980
dc.format.mimetypeapplication/pdf
dc.language.isoen
dc.titleSublattice entanglement entropy for fermions
dc.type.contentMaster Thesis
dc.rights.accessrightsOpen Access
dc.subject.keywordsQuantum entanglement, Entanglement entropy, Fermion, Sublattice entanglement
dc.subject.courseuuTheoretical Physics


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record