Browsing Mathematics (Faculty of) by Supervisor "Kempf, Achim"
Now showing items 19 of 9

Coherent delocalization in the lightmatter interaction
(University of Waterloo, 20201008)In this thesis, we study coherent delocalization in the lightmatter interaction: we investigate how the coherent center of mass delocalization of a first quantized system affects its interaction with a second quantized ... 
Decoupling of Information Propagation from Energy Propagation
(University of Waterloo, 20160831)Information and energy are concepts central to our understanding of nature. Their relevance, in physics, ranges from fundamental physics, e.g., in black hole physics, all the way to future quantum computing technology. ... 
Indirect Quantum Control: An ImplementationIndependent Scheme
(University of Waterloo, 20160817)The ability to control quantum systems rapidly as compared to their coherence times is a central requirement for most proposed quantum technologies, such as quantum computing and quantum metrology. Improving the ratio of ... 
On Enumerative Structures in Quantum Field Theory
(University of Waterloo, 20200713)This thesis addresses a number of enumerative problems that arise in the context of quantum field theory and in the process of renormalization. In particular, the enumeration of rooted connected chord diagrams is further ... 
On Perturbative Methods in Spectral Geometry
(University of Waterloo, 20170828)The goal of spectral geometry is to establish how much information about the geometry of compact Riemannian manifolds is contained in the spectra of natural differential operators, especially Laplacians, defined on them. ... 
On the Application of Bandlimitation and Sampling Theory to Quantum Field Theory
(University of Waterloo, 20201007)It is widely believed that combining the uncertainty principle with gravity will lead to an effective minimum length scale. A particular challenge is to specify this scale in a coordinateindependent manner so that covariance ... 
Probing Quantum Fields: Measurements and Quantum Energy Teleportation
(University of Waterloo, 20170110)Quantum Energy Teleportation provides a testbed for modern ideas involving the interplay between quantum correlations and energy in the quantum thermodynamical regime. In this work, we provide a new class of Quantum Energy ... 
Quantum Indefinite Spacetime: Part II
(University of Waterloo, 20180910)We adopt an operational mode of thinking to study spacetime fluctuations and their impacts on questions of quantum gravity. Particular emphasis is put on studying causal structure fluctuations. The study is guided by the ... 
What is a field, what is a particle?
(University of Waterloo, 20190125)Much of the structure of quantum field theory (QFT) is predicated on the principle of locality. Adherence to locality is achieved in Algebraic QFT (AQFT) by the association of algebras of observables with regions of ...