Continuous Matrix Product Ansatz for One-dimensional Fermi Systems

Continuous Matrix Product Ansatz for One-dimensional Fermi Systems

Bibliographic Details
Main Author: Chung, Sangwoo
Language:English
Published: University of Cincinnati / OhioLINK 2016
Subjects:
Condensation
cmps
Online Access:http://rave.ohiolink.edu/etdc/view?acc_num=ucin1468337302
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spelling ndltd-OhioLink-oai-etd.ohiolink.edu-ucin14683373022021-08-03T06:37:21Z Continuous Matrix Product Ansatz for One-dimensional Fermi Systems Chung, Sangwoo Condensation cmps 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. 2016-10-10 English text University of Cincinnati / OhioLINK http://rave.ohiolink.edu/etdc/view?acc_num=ucin1468337302 http://rave.ohiolink.edu/etdc/view?acc_num=ucin1468337302 unrestricted This thesis or dissertation is protected by copyright: all rights reserved. It may not be copied or redistributed beyond the terms of applicable copyright laws.
collection NDLTD
language English
sources NDLTD
topic Condensation
cmps
spellingShingle Condensation
cmps
Chung, Sangwoo
Continuous Matrix Product Ansatz for One-dimensional Fermi Systems
author Chung, Sangwoo
author_facet Chung, Sangwoo
author_sort Chung, Sangwoo
title Continuous Matrix Product Ansatz for One-dimensional Fermi Systems
title_short Continuous Matrix Product Ansatz for One-dimensional Fermi Systems
title_full Continuous Matrix Product Ansatz for One-dimensional Fermi Systems
title_fullStr Continuous Matrix Product Ansatz for One-dimensional Fermi Systems
title_full_unstemmed Continuous Matrix Product Ansatz for One-dimensional Fermi Systems
title_sort continuous matrix product ansatz for one-dimensional fermi systems
publisher University of Cincinnati / OhioLINK
publishDate 2016
url http://rave.ohiolink.edu/etdc/view?acc_num=ucin1468337302
work_keys_str_mv AT chungsangwoo continuousmatrixproductansatzforonedimensionalfermisystems
_version_ 1719440534444965888

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