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Local Convertibility and the Quantum Simulation of Edge States in Many-Body Systems
- Source :
- Physical Review X, Vol 4, Iss 4, p 041028 (2014), Physical review. X 4 (2014): 1028–1028., info:cnr-pdr/source/autori:Franchini, Fabio; Cui, Jian; Amico, Luigi; Fan, Heng; Gu, Mile; Korepin, Vladimir; Kwek, Leong Chuan; Vedral, Vlatko/titolo:Local Convertibility and the Quantum Simulation of Edge States in Many-Body Systems/doi:/rivista:Physical review. X/anno:2014/pagina_da:1028/pagina_a:1028/intervallo_pagine:1028–1028/volume:4, American Physical Society
- Publication Year :
- 2014
- Publisher :
- American Physical Society, 2014.
-
Abstract
- In some many-body systems, certain ground-state entanglement (Rényi) entropies increase even as the correlation length decreases. This entanglement nonmonotonicity is a potential indicator of nonclassicality. In this work, we demonstrate that such a phenomenon, known as lack of local convertibility, is due to the edge-state (de)construction occurring in the system. To this end, we employ the example of the Ising chain, displaying an order-disorder quantum phase transition. Employing both analytical and numerical methods, we compute entanglement entropies for various system bipartitions (A|B) and consider ground states with and without Majorana edge states. We find that the thermal ground states, enjoying the Hamiltonian symmetries, show lack of local convertibility if either A or B is smaller than, or of the order of, the correlation length. In contrast, the ordered (symmetry-breaking) ground state is always locally convertible. The edge-state behavior explains all these results and could disclose a paradigm to understand local convertibility in other quantum phases of matter. The connection we establish between convertibility and nonlocal, quantum correlations provides a clear criterion of which features a universal quantum simulator should possess to outperform a classical machine.<br />Seventh Framework Programme (European Commission) (Marie Curie International Outgoing Fellowship Grant PIOF-PHY-276093)
- Subjects :
- Quantum phase transition
High Energy Physics - Theory
QC1-999
FOS: Physical sciences
General Physics and Astronomy
Quantum simulator
Quantum entanglement
Quantum phases
01 natural sciences
010305 fluids & plasmas
symbols.namesake
Condensed Matter - Strongly Correlated Electrons
Entanglement, Local Convertibility, Edge State, Ising
0103 physical sciences
Statistical physics
010306 general physics
Quantum
Condensed Matter - Statistical Mechanics
Quantum computer
Physics
Quantum Physics
Statistical Mechanics (cond-mat.stat-mech)
Strongly Correlated Electrons (cond-mat.str-el)
High Energy Physics - Theory (hep-th)
symbols
Quantum Physics (quant-ph)
Ground state
Hamiltonian (quantum mechanics)
Subjects
Details
- Language :
- English
- ISSN :
- 21603308
- Volume :
- 4
- Issue :
- 4
- Database :
- OpenAIRE
- Journal :
- Physical Review X
- Accession number :
- edsair.doi.dedup.....635978df94735d98eb886488f5e8d865