# Quantum Fisher information for periodic and quasiperiodic anisotropic XY chains in a transverse field

Quantum Fisher information for periodic and quasiperiodic anisotropic XY chains in a transverse... In this work, the concept of quantum Fisher information (QFI) is used to characterize the quantum transitions and factorization transitions in one-dimensional anisotropic XY models with periodic coupling interaction and quasiperiodic one. For the periodic-two model, it is found that the Ising transition and anisotropic transition can be distinctively illustrated by the evolution of QFI and its first-order derivatives, confirmed additionally by the scaling behavior. For the quasiperiodic Fibonacci chain, the number of quantum phase transitions increases from one to the lth Fibonacci number $$F_{l}$$ F l when the anisotropic parameter $$\gamma$$ γ approaches zero. The phase diagram for the approximant $$F_{l}=8$$ F l = 8 is derived as an example. In addition, the factorization transition in the two models can be marked by the correlation quantity defined from the QFI. The present work demonstrates the implication of the QFI as a general fingerprint to characterize the quantum transitions and factorization transitions. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

# Quantum Fisher information for periodic and quasiperiodic anisotropic XY chains in a transverse field

, Volume 15 (4) – Jan 12, 2016
18 pages

/lp/springer_journal/quantum-fisher-information-for-periodic-and-quasiperiodic-anisotropic-ZFjONoLmBp
Publisher
Springer Journals
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/s11128-015-1237-0
Publisher site
See Article on Publisher Site

### Abstract

In this work, the concept of quantum Fisher information (QFI) is used to characterize the quantum transitions and factorization transitions in one-dimensional anisotropic XY models with periodic coupling interaction and quasiperiodic one. For the periodic-two model, it is found that the Ising transition and anisotropic transition can be distinctively illustrated by the evolution of QFI and its first-order derivatives, confirmed additionally by the scaling behavior. For the quasiperiodic Fibonacci chain, the number of quantum phase transitions increases from one to the lth Fibonacci number $$F_{l}$$ F l when the anisotropic parameter $$\gamma$$ γ approaches zero. The phase diagram for the approximant $$F_{l}=8$$ F l = 8 is derived as an example. In addition, the factorization transition in the two models can be marked by the correlation quantity defined from the QFI. The present work demonstrates the implication of the QFI as a general fingerprint to characterize the quantum transitions and factorization transitions.

### Journal

Quantum Information ProcessingSpringer Journals

Published: Jan 12, 2016

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