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Phase diagrams and dynamic properties of strongly correlated lattice bosons and Bose-Fermi mixtures

Adam Sajna

Abstract

This dissertation is devoted to the theoretical analysis of strongly correlated boson models and their extension to the case of boson-fermion mixtures. The aim of the dissertation prepared was to investigate phase diagrams and dynamic properties of strongly correlated lattice bosons. In particular, the influence of the orbital magnetic field effects, lattice geometry, mutual bosonic interactions, temperature and fermionic component were studied. Special attention was also paid on the development of operator and functional methods that would permit effective treatment of the many-body correlations and the thermal fluctuations. The dissertation consists of a series of six articles (five of them have been published) and introduction. Thanks to applied theoretical methods, thermometry of ultracold atomic lattice system was performed. It was achieved by making comparison of theoretical simulation and experimental data. In particular, it was shown that temperature effects in the considered experimental setups cannot be neglected and should be taken into account in quantitative simulations of the real experimental setups. Moreover, an extended version of the BHM was analyzed, i.e. the boson-fermion-Hubbard model (BFHM) with resonant interaction. In the thesis, the focus was on the influence of resonant interaction and on-site bosonic interaction on the stability of bosonic superfluid phase.
Record ID
UAM1306d373fe99453f9aa1f723184f1157
Diploma type
Doctor of Philosophy
Author
Adam Sajna Adam Sajna,, Undefined Affiliation
Title in Polish
Diagramy fazowe i własności dynamiczne silnie skorelowanych bozonów sieciowych i mieszanin bozonowo-fermionowych
Title in English
Phase diagrams and dynamic properties of strongly correlated lattice bosons and Bose-Fermi mixtures
Language
en English
Certifying Unit
Faculty of Physics (SNŚ/WyF/FoP)
Discipline
physics / (physical sciences domain) / (physical sciences)
Scientific discipline (2.0)
6.6 physical sciences
Defense Date
29-11-2017
Title date
29-11-2017
Supervisor
URL
http://hdl.handle.net/10593/20681 opening in a new tab
Keywords in English
Bose-Hubbard model, boson-fermion mixtures, superfluidity, quantum phase transition, dynamics of strongly correlated bosonic gases
Abstract in English
This dissertation is devoted to the theoretical analysis of strongly correlated boson models and their extension to the case of boson-fermion mixtures. The aim of the dissertation prepared was to investigate phase diagrams and dynamic properties of strongly correlated lattice bosons. In particular, the influence of the orbital magnetic field effects, lattice geometry, mutual bosonic interactions, temperature and fermionic component were studied. Special attention was also paid on the development of operator and functional methods that would permit effective treatment of the many-body correlations and the thermal fluctuations. The dissertation consists of a series of six articles (five of them have been published) and introduction. Thanks to applied theoretical methods, thermometry of ultracold atomic lattice system was performed. It was achieved by making comparison of theoretical simulation and experimental data. In particular, it was shown that temperature effects in the considered experimental setups cannot be neglected and should be taken into account in quantitative simulations of the real experimental setups. Moreover, an extended version of the BHM was analyzed, i.e. the boson-fermion-Hubbard model (BFHM) with resonant interaction. In the thesis, the focus was on the influence of resonant interaction and on-site bosonic interaction on the stability of bosonic superfluid phase.

Uniform Resource Identifier
https://researchportal.amu.edu.pl/info/phd/UAM1306d373fe99453f9aa1f723184f1157/

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