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Topological and Localised States in Waveguide Quantum Electrodynamics

Zhong, Janet

Description

Waveguide quantum electrodynamics (QED) is a subfield of quantum optics that studies arrays of atoms coupled to a waveguide. Confining the propagation of light to a one-dimensional (1D) channel enhances the atom-photon interaction strength which is crucial for many quantum information applications. It also allows for infinite-range atom-atom interactions mediated by photons which gives rise to a plethora of exotic effects such as the fermionisation of photons, interaction-induced localisation,...[Show more]

dc.contributor.authorZhong, Janet
dc.date.accessioned2021-06-06T23:45:16Z
dc.date.available2021-06-06T23:45:16Z
dc.identifier.otherb71502026
dc.identifier.urihttp://hdl.handle.net/1885/236775
dc.description.abstractWaveguide quantum electrodynamics (QED) is a subfield of quantum optics that studies arrays of atoms coupled to a waveguide. Confining the propagation of light to a one-dimensional (1D) channel enhances the atom-photon interaction strength which is crucial for many quantum information applications. It also allows for infinite-range atom-atom interactions mediated by photons which gives rise to a plethora of exotic effects such as the fermionisation of photons, interaction-induced localisation, bound photons and even quantum chaos. The first part of this thesis is about the numerical results in Ref. [1]. I focus on a specific kind of localisation in the two-photon subspace of waveguide QED which are self-induced topological edge states. The hallmarks of the quantum Hall effect can be found in our model, from Landau levels to a Hofstadter-like butterfly energy spectrum. The second part of this thesis focuses on Ref. [2]. I provide the first classification of eigenstates in the three-photon subspace of waveguide QED and show that the rich interplay of order, chaos and localisation found in two-photon systems extends naturally to three-photon systems. There also exist interaction-induced localised states unique to three-photon systems such as bound trimers, corner states and trimer edge states. Our results show that there are many exotic and unexplored effects within interacting waveguide QED systems. [1] Poshakinskiy, Alexander V., et al. "Quantum Hall phases emerging from atom-photon interactions." npj Quantum Information 7.1 (2021): 1-8. [2] Zhong, Janet, and Alexander N. Poddubny. "Classification of three-photon states in waveguide quantum electrodynamics." Physical Review A 103.2 (2021): 023720.
dc.language.isoen_AU
dc.titleTopological and Localised States in Waveguide Quantum Electrodynamics
dc.typeThesis (MPhil)
local.contributor.supervisorPoddubnyy, Alexander
local.contributor.supervisorcontactu1013135@anu.edu.au
dc.date.issued2021
local.identifier.doi10.25911/2WKS-8955
local.identifier.proquestYes
local.identifier.researcherID0000-0002-2196-4656
local.thesisANUonly.authorbb6a574e-1fc8-4991-b407-3f221cc0135a
local.thesisANUonly.title000000025752_TC_1
local.thesisANUonly.key6f301b0d-462e-81f0-8267-a1cbd790e430
local.mintdoimint
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