Year: 2005
Type: article
Abstract: Motivated by the idea of entanglement loss along renormalization group flows, analytical majorization relations are proven for the ground state of $(1+1)$-dimensional conformal field theories. For any of these theories, majorization is proven to hold in the spectrum of the reduced density matrices in a bipartite system when changing the size $L$ of one of the subsystems. Continuous majorization along uniparametric flows is also proven as long as part of the conformal structure is preserved under the deformation and some monotonicity conditions hold as well. As particular examples of our derivations, we study the cases of the $XX$, Heisenberg, and $XY$ quantum spin chains. Our results provide in a rigorous way explicit proofs for all the majorization conjectures raised by Latorre, L\"utken, Rico, Vidal, and Kitaev in previous papers on quantum spin chains.
Source: Physical Review A
Author: Román Orús
Institution: Universitat de Barcelona
Language: Latvian
Topic: Quantum many-body systems
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2014345595