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Cold Atoms and the Conformal Bootstrap.

Squires, Joshua William.

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Cold Atoms and the Conformal Bootstrap.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Cold Atoms and the Conformal Bootstrap./
Author:	Squires, Joshua William.
Published:	Ann Arbor : ProQuest Dissertations & Theses, : 2019,
Description:	118 p.
Notes:	Source: Dissertations Abstracts International, Volume: 81-04, Section: B.
Contained By:	Dissertations Abstracts International81-04B.
Subject:	Statistical physics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=22584479
ISBN:	9781088348048

Cold Atoms and the Conformal Bootstrap.
Squires, Joshua William.

Cold Atoms and the Conformal Bootstrap. - Ann Arbor : ProQuest Dissertations & Theses, 2019 - 118 p.

Source: Dissertations Abstracts International, Volume: 81-04, Section: B.

Thesis (Ph.D.)--Cornell University, 2019.

This item must not be sold to any third party vendors.

Statistical mechanics naturally lends itself to computational algorithms that use random sampling to leverage the law of large numbers. Though these methods have proven invaluable, in many cases yielding solutions to otherwise intractable problems, to an extent they also obscure the underlying physics. The two numerical methods studied in this thesis do not fit this description. The first, the conformal bootstrap, imposes symmetry constraints on the four-point correlation functions of a conformal field theory to restrict the spectrum of allowed scaling dimensions of a theory. A variation of the conformal bootstrap is implemented to treat two important non-unitary CFTs, percolation and the self-avoiding walk. The second involves a formalism which provides an integral equation with a kernel based on the two-body S-matrix. The solution of this integral equation represents a single particle's energy in the presence of interactions with the rest of a cold atom gas. The formalism is applied to Berezinskii-Kosterlitz-Thouless and upper branch phase transitions.

ISBN: 9781088348048Subjects--Topical Terms:

536281
Statistical physics.
Subjects--Index Terms:

BKT phase transitions

Cold Atoms and the Conformal Bootstrap.
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245 1 0 $a Cold Atoms and the Conformal Bootstrap.
260 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2019
300 $a 118 p.
500 $a Source: Dissertations Abstracts International, Volume: 81-04, Section: B.
500 $a Advisor: Leclair, Andre.
502 $a Thesis (Ph.D.)--Cornell University, 2019.
506 $a This item must not be sold to any third party vendors.
520 $a Statistical mechanics naturally lends itself to computational algorithms that use random sampling to leverage the law of large numbers. Though these methods have proven invaluable, in many cases yielding solutions to otherwise intractable problems, to an extent they also obscure the underlying physics. The two numerical methods studied in this thesis do not fit this description. The first, the conformal bootstrap, imposes symmetry constraints on the four-point correlation functions of a conformal field theory to restrict the spectrum of allowed scaling dimensions of a theory. A variation of the conformal bootstrap is implemented to treat two important non-unitary CFTs, percolation and the self-avoiding walk. The second involves a formalism which provides an integral equation with a kernel based on the two-body S-matrix. The solution of this integral equation represents a single particle's energy in the presence of interactions with the rest of a cold atom gas. The formalism is applied to Berezinskii-Kosterlitz-Thouless and upper branch phase transitions.
590 $a School code: 0058.
650 4 $a Statistical physics. $3 536281
650 4 $a Quantum physics. $3 726746
650 4 $a Theoretical physics. $3 2144760
653 $a BKT phase transitions
653 $a Conformal bootstrap
653 $a Conformal field theory
653 $a Mathematical physics
653 $a Statistical mechanics
653 $a Ultracold atomic gases
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690 $a 0599
690 $a 0753
710 2 $a Cornell University. $b Physics. $3 3173885
773 0 $t Dissertations Abstracts International $g 81-04B.
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792 $a 2019
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=22584479