Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 9 of 9 for “"Entanglement spectrum"”.
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Entanglement and hall viscosity
This dissertation studies quantum entanglement in relation to the geometric response known as Hall viscosity. We begin by reviewing geometric response in the quantum Hall effect in comparison to its well-known electromagnetic response, Hall conductivity. We develop an understanding of momentum …
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Interacting Anyons in One and Two Dimensions: Strong Zero Modes in Anyon Chains and Non-Abelian Anyons on a Torus
… anyons to the Hamiltonian. We then calculate the entanglement spectrum of a ground state of the system after cutting the torus into two cylindrical pieces. The low lying states of this spectrum have a linear dispersion relation for several systems we examined, suggesting the entanglement spectrum …
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Aspects of the reflected entropy
… a class of bulk geometric quantities inside the entanglement wedge, called reflected minimal surfaces. From the bulk point of view, we show that half the area of the reflected minimal surface, in Planck units, gives a reinterpretation of the notion of the entanglement wedge cross-section. In …
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Numerical methods of characterizing symmetry protected topological states in one dimension
… of the Kitaev p-wave wire. The quantum entanglement diagnostics we performed allow us to determine phase boundaries, and the nature of the phase transitions. An intervening incommensurate phase is found between the topological and trivial phases. We locate and characterize a putative …
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Aspects of amplitudes, gravity & complexity
… amplitudes in gravitational theories and entanglement entropy & complexity in quantum field theory. In part one, we utilise modern scattering amplitude techniques to efficiently calculate the deflection angle of both light and gravity due to the presence of a massive body. We find this to …
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An Exploration of Quantum Critical Phenomena in One-Dimensional Lattice Systems: Geometric Frustration & Quantum Fluctuations
… chains, where our focus will be on the use of entanglement measures, and we will explore an extension of the standard Bose-Hubbard model on a one-dimensional lattice with a non-trivial elementary cell.<br/><br/>Our first main focus will be on the use of entanglement scaling as an indicator of …
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Scaling of entanglement entropy in some condensed matter systems
The following thesis focuses on the scaling of entanglement entropy in lower dimensions and is divided into three main parts. Chapter 2 studies the thermal reduced density matrices in fermion and spin systems on ladders. Chapter 3 studies the many-body localization phase transition in a …
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Topological semimetals and nodal superconductors
Besides topological band insulators, which have a full bulk gap, there are also gapless phases of matter that belong to the broad class of topological materials, such as topological semimetals and nodal superconductors. We systematically study these gapless topological phases described by the Bloch …
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Finite and infinite matrix product states for Gutzwiller projected mean-field wavefunctions and their applications to quantum spin systems
… which are intimately related to the entanglement properties of these wavefunctions. We also present known results concerning the detection of exotic quantum orders from measures of many-body entanglement. In Chapter 2 we review the mathematical background of mean-field fermionic …