University of Illinois Urbana-Champaign

Condensation and pairing in inhomogeneous cold atomic and electronic systems

Sun, Kuei

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Sun_Kuei.pdf

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https://hdl.handle.net/2142/18240

Description

Title
Condensation and pairing in inhomogeneous cold atomic and electronic systems
Author(s)
Sun, Kuei
Issue Date
2011-01-14T22:40:59Z
Director of Research (if dissertation) or Advisor (if thesis)
Vishveshwara, Smitha
Doctoral Committee Chair(s)
Baym, Gordon A.
Committee Member(s)
  • DeMarco, Brian L.
  • Gollin, George D.
  • Vishveshwara, Smitha
Department of Study
Physics
Discipline
Physics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Date of Ingest
2011-01-14T22:40:59Z
Keyword(s)
  • Quantum gases
  • Bose-Einstein condensation
  • Superconductivity
  • Superfluidity
  • Optical lattice
  • Cold atoms
  • Condensed matter physics
Abstract
This thesis presents a theoretical study of Bose-Einstein condensation (BEC) and Bardeen-Cooper-Schrieffer (BCS) pairing states in inhomogeneous systems of cold atoms and of electrons. Features of spatially separated phases are explored, with particular focus on the behavior of the condensed phase and its experimental measures. Three specific systems are addressed below. First, we study bosonic atoms in three-dimensional optical lattices in the presence of an external spherical harmonic trapping potential. We investigate the critical value associated with the lattice depth and interaction strength below which the system undergoes a quantum phase transition from a global BEC phase to a coexistence of local BEC and Mott-insulating phases. We discuss the ground state properties, excitations, and experimental signatures of the condensate surrounded by the Mott-insulators. BCS pairing in fermionic atoms of two spin species that are confined to spatially separated trapping potentials is investigated next. We investigate the one-dimensional limit and find that, with increasing separation between the spin-dependent traps, the fermions undergo a transition from a global fully-paired phase to a coexistence of a fully-paired phase, a spin-imbalanced phase with oscillatory pairing, the so-called Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state, and an unpaired completely spin-polarized phase. We present numerical profiles of key parameters of the phase diagram as well as observable signatures of the oscillatory pairing phase. The third topic is that of transport physics in a superconductor-ferromagnetic-metal (S/F) hybrid in which superconducting phases and ferromagnetic normal phases are artificially combined. We model the interface between the S and F regions and discuss possible scattering processes at the interface. We apply the Blonder-Tinkham-Klapwijk treatment with the interfacial model to calculate resistance of the system. These results explain recent experimental observations.
Graduation Semester
2010-12
Permalink
http://hdl.handle.net/2142/18240
Copyright and License Information
Copyright 2010 by Kuei Sun. All rights reserved.

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