Quantum entanglement in condensed matter systems

N Laflorencie - Physics Reports, 2016 - Elsevier
This review focuses on the field of quantum entanglement applied to condensed matter
physics systems with strong correlations, a domain which has rapidly grown over the last …

Entanglement spectra between coupled Tomonaga-Luttinger liquids: Applications to ladder systems and topological phases

R Lundgren, Y Fuji, S Furukawa, M Oshikawa - Physical Review B, 2013 - APS
We study the entanglement spectrum (ES) and entropy between two coupled Tomonaga-
Luttinger liquids (TLLs) on parallel periodic chains. This problem gives access to the …

Momentum-space entanglement spectrum of bosons and fermions with interactions

R Lundgren, J Blair, M Greiter, A Läuchli, GA Fiete… - Physical review …, 2014 - APS
We study the momentum space entanglement spectra of bosonic and fermionic formulations
of the spin-1/2 XXZ chain with analytical methods and exact diagonalization. We investigate …

Bulk-edge correspondence in fractional quantum Hall states

B Yan, RR Biswas, CH Greene - Physical Review B, 2019 - APS
We substantiate a complete picture of the “bulk-edge correspondence” conjecture for
topological phases. By studying the eigenstates in the entanglement spectrum for both the …

Momentum-space entanglement in Heisenberg spin-half ladders

R Lundgren - Physical Review B, 2016 - APS
We study momentum-space entanglement in quantum spin-half ladders consisting of two
coupled critical XXZ spin-half chains, using field theoretical methods developed by …

On integrable matrix product operators with bond dimension D= 4

H Katsura - Journal of Statistical Mechanics: Theory and …, 2015 - iopscience.iop.org
We construct and study a two-parameter family of matrix product operators of bond
dimension D= 4. The operators M (x, y) act on $({\Bbb {C}} _2)^{\otimes N} $, ie the space of …

Entanglement in low dimensional systems

RA Santos - 2013 - search.proquest.com
In the ground state of gapped systems, the entanglement entropy of a subsystem A scales
with the length of the boundary of A. This observation suggests that the entanglement …

[PDF][PDF] THE PURDUE UNIVERSITY GRADUATE SCHOOL STATEMENT OF DISSERTATION APPROVAL

SD Heister - 2019 - hammer.purdue.edu
1.1 Background Pressure-gain combustion has been studied for several decades, motivated
by the potential to improve thermodynamic performance of aerospace and ground-based …

Numerical Study of the Fractional Quantum Hall Effect: A Few-Body Perspective

B Yan - 2019 - search.proquest.com
When confined to a finite, two-dimensional area and exposed to a strong magnetic field,
electrons exhibit a complicated, highly correlated quantum behavior known as the quantum …