eprintid: 36739 rev_number: 12 eprint_status: archive userid: 9090 dir: disk0/00/03/67/39 datestamp: 2025-06-18 13:15:39 lastmod: 2025-06-18 13:16:16 status_changed: 2025-06-18 13:15:39 type: doctoralThesis metadata_visibility: show creators_name: Brandstetter, Sandra Anna title: Collective Behavior in Few-Fermion Systems subjects: ddc-500 subjects: ddc-530 divisions: i-130200 adv_faculty: af-13 abstract: This thesis reports on the exploration of collective behavior in a system of few fermionic atoms. Access to both real- and momentum space observables in combination with a high degree of control over both particle number and interaction strength allows us to explore the emergence of collective behavior from the bottom up - atom by atom. Inspired by observations in high-energy physics, where hydrodynamic behavior is present in absence of a separation of scales, we explore interaction-driven elliptic flow which is commonly considered a smoking-gun of hydrodynamic behavior. Our measurements reveal elliptic flow in systems of only six constituents. Motivated by the formation of pairs of fermionic particles in system with broken translational symmetry (such as atomic nuclei or ’dirty’ superconductors), where BCS theory does not apply, we investigate how a spatially varying potential affects pair formation. By altering interaction strength and particle number, we observe a transition from a regime in which pair formation is determined by the discrete level structure of the potential to a regime in which the potential only influences pairing by altering the local density. date: 2025 id_scheme: DOI id_number: 10.11588/heidok.00036739 own_urn: urn:nbn:de:bsz:16-heidok-367395 date_accepted: 2025-06-05 advisor: HASH(0x55caa0e72d50) language: eng bibsort: BRANDSTETTCOLLECTIVE2025 full_text_status: public place_of_pub: Heidelberg citation: Brandstetter, Sandra Anna (2025) Collective Behavior in Few-Fermion Systems. [Dissertation] document_url: https://archiv.ub.uni-heidelberg.de/volltextserver/36739/1/thesis.pdf