Anomalies on Quantum Gases in One and Two Dimensions

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dc.contributor.advisorOrdóñez, Carlos R.
dc.contributor.committeeMemberRatti, Claudia
dc.contributor.committeeMemberMiller, John H., Jr.
dc.contributor.committeeMemberVilalta, Ricardo
dc.creatorDaza Romero, Wilder Smith 1989-
dc.creator.orcid0000-0003-4902-3572
dc.date.accessioned2020-01-04T03:28:14Z
dc.date.createdMay 2019
dc.date.issued2019-05
dc.date.submittedMay 2019
dc.date.updated2020-01-04T03:28:14Z
dc.description.abstractThis dissertation utilizes particle physics and quantum field theory (QFT) background to advance an approach to the study of quantum scaling anomalies in low-dimensional (2D and 1D) ultracold Fermi gases. Deeper studies of these aspects of atomic physics will not only further our fundamental understanding of the physics but will also likely impact the ability to control and manipulate these systems. The precise connection between 2D quantum scaling anomalies and Tan contact term is established and used to study aspects of thermodynamics of ultracold atoms, in particular, the virial expansion. The approach, beyond being a different scheme for addressing issues in atomic physics, provides a framework that seeks to add insight as well, and it has proven to do so. An extension of the ideas for 2D, two-body attractive contact interactions to 1D, 3-body attractive contact interacting fermions (three species) is also formulated in this work. We calculate the impact of the anomaly on the equation of state, which appears through the generalization of Tan's contact for three-body forces, and determine the pressure at finite temperature. In addition, We show that the third-order virial coefficient is proportional to the second-order coefficient of the two-dimensional two-body case, which in turn serves as a natural renormalization condition for numerical calculation of the path integral in such a system. This has opened the door to extensive theoretical investigations, as well as connections with possible experiments.
dc.description.departmentPhysics, Department of
dc.format.digitalOriginborn digital
dc.format.mimetypeapplication/pdf
dc.identifier.citationPortions of this document appear in: Daza, W., Joaquín E. Drut, C. Lin, and C. Ordóñez. "Virial expansion for the Tan contact and Beth-Uhlenbeck formula from two-dimensional SO (2, 1) anomalies." Physical Review A 97, no. 3 (2018): 033630. And in: Drut, Joaquín E., Joshua R. McKenney, Wilder S. Daza, Chris L. Lin, and Carlos R. Ordóñez. "Quantum anomaly and thermodynamics of one-dimensional fermions with three-body interactions." Physical review letters 120, no. 24 (2018): 243002.
dc.identifier.urihttps://hdl.handle.net/10657/5770
dc.language.isoeng
dc.rightsThe author of this work is the copyright owner. UH Libraries and the Texas Digital Library have their permission to store and provide access to this work. UH Libraries has secured permission to reproduce any and all previously published materials contained in the work. Further transmission, reproduction, or presentation of this work is prohibited except with permission of the author(s).
dc.subjectAnomalies
dc.subjectUltracold
dc.subjectLow dimensional gases
dc.subjectQft
dc.subjectPath integrals
dc.titleAnomalies on Quantum Gases in One and Two Dimensions
dc.type.dcmiText
dc.type.genreThesis
local.embargo.lift2021-05-01
local.embargo.terms2021-05-01
thesis.degree.collegeCollege of Natural Sciences and Mathematics
thesis.degree.departmentPhysics, Department of
thesis.degree.disciplinePhysics
thesis.degree.grantorUniversity of Houston
thesis.degree.levelDoctoral
thesis.degree.nameDoctor of Philosophy

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