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Theoretical Generalizations of Topol...

Patel, Kaushal Hasmukh.

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Theoretical Generalizations of Topological Phases and Topological Entanglement Entropy.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Theoretical Generalizations of Topological Phases and Topological Entanglement Entropy./
Author:	Patel, Kaushal Hasmukh.
Published:	Ann Arbor : ProQuest Dissertations & Theses, : 2017,
Description:	250 p.
Notes:	Source: Dissertation Abstracts International, Volume: 79-04(E), Section: B.
Contained By:	Dissertation Abstracts International79-04B(E).
Subject:	Physics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10623730
ISBN:	9780355429497

Theoretical Generalizations of Topological Phases and Topological Entanglement Entropy.
Patel, Kaushal Hasmukh.

Theoretical Generalizations of Topological Phases and Topological Entanglement Entropy. - Ann Arbor : ProQuest Dissertations & Theses, 2017 - 250 p.

Source: Dissertation Abstracts International, Volume: 79-04(E), Section: B.

Thesis (Ph.D.)--University of California, Santa Barbara, 2017.

In this thesis, we explore topological phases, study their properties, and present some novel extensions of them. Our study of topological phases begins on simplified theoretical models and provides a tractable setting to discuss the otherwise abstract mathematics involved, while maintaining the power to capture many experimentally salient features of these phases. We generalize these theoretical models and discover new phases of matter, topological flux phases, which are topological phases with a uniform anyonic flux. Other extensions of topological phases we study are fractionalized Fermi liquids, which are gapless topological phases with non-trivial interactions between gapless and topological sectors. Finally, we also focus on one peculiar property of topological phases, topologi- cal entanglement entropy, which captures the fact that some information is distributed globally in topological phase and can only be accessed with a topologically non-trivial measurement.

ISBN: 9780355429497Subjects--Topical Terms:

516296
Physics.

Theoretical Generalizations of Topological Phases and Topological Entanglement Entropy.
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245 1 0 $a Theoretical Generalizations of Topological Phases and Topological Entanglement Entropy.
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300 $a 250 p.
500 $a Source: Dissertation Abstracts International, Volume: 79-04(E), Section: B.
500 $a Advisers: Parsa Bonderson; Chetan Nayak.
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520 $a In this thesis, we explore topological phases, study their properties, and present some novel extensions of them. Our study of topological phases begins on simplified theoretical models and provides a tractable setting to discuss the otherwise abstract mathematics involved, while maintaining the power to capture many experimentally salient features of these phases. We generalize these theoretical models and discover new phases of matter, topological flux phases, which are topological phases with a uniform anyonic flux. Other extensions of topological phases we study are fractionalized Fermi liquids, which are gapless topological phases with non-trivial interactions between gapless and topological sectors. Finally, we also focus on one peculiar property of topological phases, topologi- cal entanglement entropy, which captures the fact that some information is distributed globally in topological phase and can only be accessed with a topologically non-trivial measurement.
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