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master's thesis
Path integral Monte Carlo study of one-dimensional Bose system: Luttinger liquid properties and impurity effects
2017. urn:nbn:hr:166:202813
Lunić, Frane
University of Split
Faculty of Science
Department of Physics

Cite this document

Lunić, F. (2017). Path integral Monte Carlo study of one-dimensional Bose system: Luttinger liquid properties and impurity effects (Master's thesis). Split: University of Split, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:166:202813

Lunić, Frane. "Path integral Monte Carlo study of one-dimensional Bose system: Luttinger liquid properties and impurity effects." Master's thesis, University of Split, Faculty of Science, 2017. https://urn.nsk.hr/urn:nbn:hr:166:202813

Lunić, Frane. "Path integral Monte Carlo study of one-dimensional Bose system: Luttinger liquid properties and impurity effects." Master's thesis, University of Split, Faculty of Science, 2017. https://urn.nsk.hr/urn:nbn:hr:166:202813

Lunić, F. (2017). 'Path integral Monte Carlo study of one-dimensional Bose system: Luttinger liquid properties and impurity effects', Master's thesis, University of Split, Faculty of Science, accessed 24 October 2024, https://urn.nsk.hr/urn:nbn:hr:166:202813

Lunić F. Path integral Monte Carlo study of one-dimensional Bose system: Luttinger liquid properties and impurity effects [Master's thesis]. Split: University of Split, Faculty of Science; 2017 [cited 2024 October 24] Available at: https://urn.nsk.hr/urn:nbn:hr:166:202813

F. Lunić, "Path integral Monte Carlo study of one-dimensional Bose system: Luttinger liquid properties and impurity effects", Master's thesis, University of Split, Faculty of Science, Split, 2017. Available at: https://urn.nsk.hr/urn:nbn:hr:166:202813

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Metadata
TitlePath integral Monte Carlo study of one-dimensional Bose system: Luttinger liquid properties and impurity effects
Title (croatian)Istraživanje jednodimenzionalnih bozonskih sustava metodom integrala po stazama: osobine Luttingerove tekućine i utjecaj nečistoća
AuthorFrane Lunić
MentorLeandra Vranješ Markić (mentor)
Committee memberLeandra Vranješ Markić (predsjednik povjerenstva)
Committee memberFranjo Sokolić (član povjerenstva)
Committee memberPetar Stipanović (član povjerenstva)
GranterUniversity of Split
Faculty of Science
(Department of Physics)
Split
Defense date and country2017-09-29, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Physics
Abstract
We present the results of a numerical path integral Monte Carlo (PIMC) study of one-dimensional uniform and disordered systems of interacting bosons. The interest in this kind of systems has grown recently since they have been realized experimentally in the field of ultracold atomic gases, as well as by adsorption of atoms in narrow nanopores. After providing theoretical background and laying out the methods, we present the results, with focus on superfluid fraction,OBDM, and pair-correlation function, and compare them with the predictions of the Luttinger liquid theory (LL). In case of uniform systems, we find agreement. The Luttinger parameter K is determined in several ways. After adding a randomly placed impurity to the system, for K < 1 we find no scaling of superfluid fraction with LT, most likely signifying localization, as predicted by LL. Scaling is found for K > 1, indicating a qualitative difference, expected from LL. However, interesting deviations from the expected scaling relation are found. Possible explanations are discussed.
Abstract (croatian)
Predstavljamo rezultate studije jednodimenzionalnih, uniformnih i neuređenih sustava interagirajućih bozona, izvršene numeričkom Monte Carlo metodom integrala po stazama (PIMC metoda). Interes za ovu vrstu sustava je porastao nedavno otkad su eksperimentalno ostvareni u polju ultrahladnih atomskih plinova te adsorpcijom u uskim nanoporama. Nakon opisa teorijske pozadine i metoda predstavljamo rezultate, fokusirajući se na udio suprafluida, jednočestičnu matricu gustoće i korelacijsku funkciju parova, te ih uspoređujemo s predviđanjima teorije Luttingerove tekućine (LL). U slučaju uniformnih sustava, pronalazimo slaganje te određujemo Luttingerov parametar K na više načina. Nakon dodavanja nečistoće na nasumičnom položaju u sustav, za K < 1 nismo pronašli skaliranje udjela suprafluidas LT, što je vjerojatno znak lokalizacije predviđene u LL teoriji. Za K > 1 smo pronašli skaliranje što predstavlja očekivanu kvalitativnu razliku, ali rezultati pokazuju zanimljiva odstupanja od očekivane relacije skaliranja. U radu smo diskutirali moguća objašnjenja.
Keywords
Keywords (croatian)
Languageenglish
URN:NBNurn:nbn:hr:166:202813
Study programmeTitle: Physics; specializations in: major in teaching, major in Astrophysics, major in Biophysics, major in Enviromental physics, major in Computational physics
Course: major in Computational physics
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra fizike (magistar/magistra fizike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence Attribution-ShareAlike 4.0 International (CC BY-SA 4.0) icon
Created on2018-02-22 18:02:28