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Continuous Matrix Product Ansatz for One-dimensional Fermi Systems

Chung, Sangwoo
http://rave.ohiolink.edu/etdc/view?acc_num=ucin1468337302

Abstract Details

2016, PhD, University of Cincinnati, Arts and Sciences: Physics.
The central topic of this thesis is on the fermionic continuous matrix product states (cMPS) variational ansatz for many-body quantum systems in a one-dimensional (1D) continuum. The matrix product states (MPS) is a variational ansatz which has been tremendously successful for nearly two decades in efficiently approximating ground-state properties of low-dimensional quantum lattice systems. The MPS is intrinsically designed for discrete lattice systems, however, and the cMPS has been introduced in 2010 as a continuum analogue of the MPS, enabling the possibility to directly tackle systems of quantum gases and liquids without resorting to discretization of space. The original cMPS has been introduced for a system of bosons. In order to study a population-imbalanced 1D Fermi gas system that is now realizable in ultracold atoms laboratories, we have developed an implementation of the cMPS for a system of Fermi gas. By comparing our results with the exact solutions for the Gaudin-Yang model, we have shown the reliability of the fermionic cMPS in applications. Moreover, we have used the cMPS to study a system of mass-imbalanced Fermi gas. This is one of the first applications of the cMPS on nonintegrable models and we have obtained a Τ=0 phase diagram and a density profile that is more intricate than the ones seen in mass-balanced systems. The parameter regimes explored are realistic in view of possible future experiments.
Carlos Bolech, Ph.D. (Committee Chair)
David Mast, Ph.D. (Committee Member)
Nayana Shah, Ph.D. (Committee Member)
L.C.R. Wijewardhana, Ph.D. (Committee Member)
99 p.
Condensation
cmps

Recommended Citations

Citations

  • Chung, S. (2016). Continuous Matrix Product Ansatz for One-dimensional Fermi Systems [Doctoral dissertation, University of Cincinnati]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1468337302

    APA Style (7th edition)

  • Chung, Sangwoo. Continuous Matrix Product Ansatz for One-dimensional Fermi Systems. 2016. University of Cincinnati, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=ucin1468337302.

    MLA Style (8th edition)

  • Chung, Sangwoo. "Continuous Matrix Product Ansatz for One-dimensional Fermi Systems." Doctoral dissertation, University of Cincinnati, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1468337302

    Chicago Manual of Style (17th edition)

ucin1468337302
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This open access ETD is published by University of Cincinnati and OhioLINK.