Višečestična fizika na kvantnom prstenu

master's thesis

• Title (english): Many-body physics in quantum ring
• Author: Luka Mikoč
• Mentor: Robert Pezer (mentor)
• Mentor: Hrvoje Buljan (komentor)
• Committee member: Hrvoje Buljan (predsjednik povjerenstva)
• Committee member: Robert Pezer (član povjerenstva)
• Committee member: Katarina Jeličić (član povjerenstva)
• Committee member: Marko Tomislav Cvitaš (član povjerenstva)
• Committee member: Dalibor Paar (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Physics); Zagreb
• Defense date and country: 2021-09-21, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Physics

Abstract

Rad predstavlja nekoliko odabranih tema iz područja kvantnih prstenova koji opisuje neke značajke međudjelujućih višečestičnih sistema. U ovom radu predstavljamo fizičke značajke poput energijskih spektara gdje polazimo od prikaza u sistemima koje možemo promatrati kao jednočestične do nekoliko jednostavnih višečestičnih međudjelujućih primjera (uglavnom sistemi nekoliko čestica). Posebno prikazujemo utjecaj magnetskog polja na značajke kvantnih prstenova poput periodičnosti spektra, stalnih struja sve do jednočestičnih matrica gustoće (korelacije u sistemu). Posljednja cjelina u radu je prikaz nekoliko primjera neravnotežne kvantne dinamike modeliranjem vremenske evolucije sistema. U dodacima je pregled numeričkih metoda te izbor programske podrške razvijene za potrebe ovog rada.

Abstract (english)

The paper presents several selected topics from the field of quantum rings that describe some features of interacting multiparticle systems. In this paper, we present physical properties such as energy spectra where we start from representations in systems that can be viewed as single-particle to a few simple multi-particle interacting examples (mainly systems of several particles). In particular, we show the influence of the magnetic field on the physical properties of quantum rings such as the periodicity of the spectrum, persistent currents, and single-particle density matrices (correlations in the system). The last part of the paper presents several examples of nonequilibrium quantum dynamics by modelling the time evolution of the system. The appendices provide an overview of numerical methods and a selection of software developed for the purposes of this paper.

• Keywords: kvantni prsten; najniže energetsko stanje; reducirana matrica gustoće; raspodjela po kutnoj količini gibanja; struje; gustoća vjerojatnosti; vremenska evolucija
• Keywords (english): quantum ring; lowest energy state; reduced density matrix; angular momentum distribution; currents; probability density; time evolution
• Language: croatian
• URN:NBN: urn:nbn:hr:217:778039
• Study programme: Title: Physics and Computer Science; specializations in: Education; Course: Education; Study programme type: university; Study level: integrated undergraduate and graduate; Academic / professional title: magistar/magistra edukacije fizike i informatike (magistar/magistra edukacije fizike i informatike)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Open access
• Created on: 2021-11-09 12:43:06