Thesis-2017-Cole.pdf (1.56 MB)
Entanglement properties and correlations of certain one-dimensional magnets out of equilibrium using Matrix Product States
thesis
posted on 2017-06-14, 07:43 authored by Richard M. ColeThis thesis is devoted to the study of one-dimensional quantum spin chains using matrix product state-based techniques known. We deal mostly with the transverse field Ising model and perturbations. Firstly, we consider an out of equilibrium steady state by applying an energy current. We confirm the phase diagram, the correlations and the entanglement scaling. Subsequently, we introduce two kinds of perturbations. Firstly, we add an interaction that takes the system away from integrability and we study the correlations and the entanglement scaling, determining its phase diagram. Secondly, we weaken the strength of the interaction every nth pair with focus on the simplest case n=2. In every case we compute correlations and central charge (entanglement scaling) and we show that in the presence of an energy current, there is no conservation of energy. Finally, we motivate briefly work on a system that exhibits the Haldane phase.
Funding
Loughborough University, Graduate School.
History
School
- Science
Department
- Physics
Publisher
© Richard Michael ColePublisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Publication date
2016Notes
A Doctoral Thesis. Submitted in partial fulfilment of the requirements for the award of Doctor of Philosophy of Loughborough University.Language
- en