Universal relations in ultracold polarized Fermi gases

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dc.contributor Aalto-yliopisto fi
dc.contributor Aalto University en
dc.contributor.advisor Kinnunen, Jami J., Dr., Aalto University, Department of Applied Physics, Finland
dc.contributor.author Doggen, Elmer V. H.
dc.date.accessioned 2015-06-17T09:01:31Z
dc.date.available 2015-06-17T09:01:31Z
dc.date.issued 2015
dc.identifier.isbn 978-952-60-6216-7 (electronic)
dc.identifier.isbn 978-952-60-6215-0 (printed)
dc.identifier.issn 1799-4942 (electronic)
dc.identifier.issn 1799-4934 (printed)
dc.identifier.issn 1799-4934 (ISSN-L)
dc.identifier.uri https://aaltodoc.aalto.fi/handle/123456789/16554
dc.description.abstract Ultracold quantum gases are an ideal toolbox for simulating complex condensed or nuclear matter systems and to investigate fundamental quantum properties of matter. In this thesis, we will investigate universal properties connecting the high-momentum tail of the momentum distribution, the short-range correlations and the thermodynamics, encapsulated in Tan's relations. These relations are especially useful in the strongly interacting case, where perturbative approaches usually fail. With the aid of Tan's universal relations, we can still come to general conclusions about strongly interacting quantum gases. In particular, the momentum distribution exhibits a characteristic algebraic decay, unlike the exponential decay of the non-interacting case. The main focus in this thesis is on the one-dimensional, fermionic case, where we study the highly polarized case (the one-dimensional Fermi polaron), verifying Tan's relations using a variety of theoretical tools. In addition, we show that localized systems exhibit a universal, dynamical instability to delocalization when a short-range interaction between particles is switched off rapidly. This delocalization process relies on the algebraic decay of the momentum distribution, which guarantees that at least some of the delocalized single-particle states are occupied with a finite probability. Finally, we investigate the Bardeen-Cooper-Schrieffer (BCS) to Bose-Einstein condensation (BEC) crossover for the three-dimensional Fermi gas and develop a novel method to describe the breakdown of the Fermi liquid description in the vicinity of the critical temperature for superfluidity, in good agreement with a recent experiment. en
dc.format.extent 104 + app. 56
dc.format.mimetype application/pdf en
dc.language.iso en en
dc.publisher Aalto University en
dc.publisher Aalto-yliopisto fi
dc.relation.ispartofseries Aalto University publication series DOCTORAL DISSERTATIONS en
dc.relation.ispartofseries 72/2015
dc.relation.haspart [Publication 1]: Elmer V. H. Doggen and Jami J. Kinnunen. Energy and contact of the one-dimensional Fermi polaron at zero and finite temperature. Physical Review Letters, 111, 025302, July 2013. DOI: 10.1103/PhysRevLett.111.025302
dc.relation.haspart [Publication 2]: Elmer V. H. Doggen, Anna Korolyuk, Paivi Torma and Jami J. Kinnunen. One-dimensional Fermi polaron in a combined harmonic and periodic potential. Physical Review A, 89, 053621, May 2014. DOI: 10.1103/PhysRevA.89.053621
dc.relation.haspart [Publication 3]: Elmer V. H. Doggen and Jami J. Kinnunen. Quench-induced delocalization. New Journal of Physics, 16, 113051, November 2014. DOI: 10.1088/1367-2630/16/11/113051
dc.relation.haspart [Publication 4]: Elmer V. H. Doggen and Jami J. Kinnunen. Momentum-resolved spectroscopy of a Fermi liquid. Scientific Reports, 5, 9539, May 2015.
dc.subject.other Physics en
dc.title Universal relations in ultracold polarized Fermi gases en
dc.type G5 Artikkeliväitöskirja fi
dc.contributor.school Perustieteiden korkeakoulu fi
dc.contributor.school School of Science en
dc.contributor.department Teknillisen fysiikan laitos fi
dc.contributor.department Department of Applied Physics en
dc.subject.keyword ultracold atoms en
dc.subject.keyword quantum gases en
dc.subject.keyword one-dimensional systems en
dc.subject.keyword Tan relations en
dc.subject.keyword Fermi polaron en
dc.subject.keyword quench dynamics en
dc.subject.keyword disordered systems en
dc.subject.keyword localization properties en
dc.subject.keyword BCS/BEC crossover en
dc.subject.keyword Brueckner-Goldstone theory en
dc.identifier.urn URN:ISBN:978-952-60-6216-7
dc.type.dcmitype text en
dc.type.ontasot Doctoral dissertation (article-based) en
dc.type.ontasot Väitöskirja (artikkeli) fi
dc.contributor.supervisor Törmä, Päivi, Prof., Aalto University, Department of Applied Physics, Finland
dc.opn Lobo, Carlos, Dr., University of Southampton, UK
dc.contributor.lab Quantum Dynamics en
dc.rev van Leeuwen, Robert, Prof., University of Jyväskylä, Finland
dc.rev Massignan, Pietro A., Dr., ICFO, The Institute of Photonic Sciences, Spain
dc.date.defence 2015-07-10

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