Criticality, factorization and Wigner–Yanase skew information in quantum spin chains

Criticality, factorization and Wigner–Yanase skew information in quantum spin chains We apply the Wigner–Yanase skew information approach to analyze criticality and factorization phenomenon in the one-dimensional anisotropy $$XY$$ X Y model with uniform coupling interaction and periodic-two one. Based on the exact solutions of the ground states, the Wigner–Yanase skew information between two nearest-neighbor lattices is obtained. For the uniform case, the first-order derivative of the Wigner–Yanase skew information is non-analytically around the critical point. The scaling behavior and the universality are verified numerically. In particular, such skew information can also detect the factorization transition in this model. For the periodic-two case, it is found that there exist more than one phase-transition point in some parameter region due to the competition between periodicity and anisotropy. Furthermore, two kinds of phase transitions, i.e., the Ising and anisotropy transitions, driven by external field $$\lambda $$ λ and the anisotropy parameter $$\gamma $$ γ , are investigated carefully by the skew information. Our results state that quantum phase transition driven by the anisotropy parameter $$\gamma $$ γ can belong to the same universality class as the one driven by external field $$\lambda $$ λ . http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

Criticality, factorization and Wigner–Yanase skew information in quantum spin chains

Loading next page...
 
/lp/springer_journal/criticality-factorization-and-wigner-yanase-skew-information-in-2m1FLA3iio
Publisher
Springer US
Copyright
Copyright © 2015 by Springer Science+Business Media New York
Subject
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
ISSN
1570-0755
eISSN
1573-1332
D.O.I.
10.1007/s11128-015-1009-x
Publisher site
See Article on Publisher Site

Abstract

We apply the Wigner–Yanase skew information approach to analyze criticality and factorization phenomenon in the one-dimensional anisotropy $$XY$$ X Y model with uniform coupling interaction and periodic-two one. Based on the exact solutions of the ground states, the Wigner–Yanase skew information between two nearest-neighbor lattices is obtained. For the uniform case, the first-order derivative of the Wigner–Yanase skew information is non-analytically around the critical point. The scaling behavior and the universality are verified numerically. In particular, such skew information can also detect the factorization transition in this model. For the periodic-two case, it is found that there exist more than one phase-transition point in some parameter region due to the competition between periodicity and anisotropy. Furthermore, two kinds of phase transitions, i.e., the Ising and anisotropy transitions, driven by external field $$\lambda $$ λ and the anisotropy parameter $$\gamma $$ γ , are investigated carefully by the skew information. Our results state that quantum phase transition driven by the anisotropy parameter $$\gamma $$ γ can belong to the same universality class as the one driven by external field $$\lambda $$ λ .

Journal

Quantum Information ProcessingSpringer Journals

Published: May 5, 2015

References

You’re reading a free preview. Subscribe to read the entire article.


DeepDyve is your
personal research library

It’s your single place to instantly
discover and read the research
that matters to you.

Enjoy affordable access to
over 12 million articles from more than
10,000 peer-reviewed journals.

All for just $49/month

Explore the DeepDyve Library

Unlimited reading

Read as many articles as you need. Full articles with original layout, charts and figures. Read online, from anywhere.

Stay up to date

Keep up with your field with Personalized Recommendations and Follow Journals to get automatic updates.

Organize your research

It’s easy to organize your research with our built-in tools.

Your journals are on DeepDyve

Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more.

All the latest content is available, no embargo periods.

See the journals in your area

DeepDyve Freelancer

DeepDyve Pro

Price
FREE
$49/month

$360/year
Save searches from
Google Scholar,
PubMed
Create lists to
organize your research
Export lists, citations
Read DeepDyve articles
Abstract access only
Unlimited access to over
18 million full-text articles
Print
20 pages/month
PDF Discount
20% off