Access the full text.
Sign up today, get DeepDyve free for 14 days.
S. Gu, Chang-pu Sun, Hai-Qing Lin (2006)
Universal role of correlation entropy in critical phenomenaJournal of Physics A: Mathematical and Theoretical, 41
Zeqian Chen (2004)
Wigner-Yanase skew information as tests for quantum entanglement (5 pages)Physical Review A, 71
B Çakmak, G Karpat, Z Gedik (2012)
Critical point estimation and long-range behavior in the one-dimensional $$XY$$ X Y model using thermal quantum and total correlationsPhys. Lett. A, 376
G Karpat, B Çakmak, FF Fanchini (2014)
Quantum coherence and uncertainty in the anisotropic $$XY$$ X Y chainPhys. Rev. B, 90
B. Çakmak, G. Karpat, F. Fanchini (2015)
Factorization and Criticality in the Anisotropic XY Chain via CorrelationsEntropy, 17
L. Amico, F. Baroni, A. Fubini, D. Patanè, V. Tognetti, P. Verrucchi (2006)
Divergence of the entanglement range in low dimensional quantum systems
XK Song, T Wu, L Ye (2013)
The monogamy relation and quantum phase transition in one-dimensional anisotropic $$XXZ$$ X X Z modelQuantum Inf. Process., 12
W. Cheng, J. Liu (2010)
Fidelity susceptibility approach to quantum phase transitions in the XY spin chain with multisite interactionsPhysical Review A, 82
SL Luo (2006)
Quantum uncertainty of mixed states based on skew informationPhys. Rev. A, 73
S. Luo (2006)
Quantum uncertainty of mixed states based on skew information (4 pages)Physical Review A, 73
T. Osborne, M. Nielsen (2001)
Entanglement, Quantum Phase Transitions, and Density Matrix RenormalizationQuantum Information Processing, 1
L. Amico, A. Osterloh, F. Plastina, R. Fazio, G. Palma (2003)
Dynamics of entanglement in one-dimensional spin systems (24 pages)Physical Review A, 69
G. Vidal, José Latorre, E. Rico, A. Kitaev (2002)
Entanglement in quantum critical phenomena.Physical review letters, 90 22
S. Giampaolo, G. Adesso, F. Illuminati (2009)
Probing quantum frustrated systems via factorization of the ground state.Physical review letters, 104 20
W. Cheng, Z. Du, L. Gong, S. Zhao, J.-M. Liu (2014)
Signature of topological quantum phase transitions via Wigner-Yanase skew informationEurophysics Letters, 108
Ming Zhong, P. Tong (2010)
The Ising and anisotropy phase transitions of the periodic XY model in a transverse fieldJournal of Physics A: Mathematical and Theoretical, 43
E. Wigner, M. Yanase (1963)
INFORMATION CONTENTS OF DISTRIBUTIONS.Proceedings of the National Academy of Sciences of the United States of America, 49 6
S. Luo (2003)
Wigner-Yanase skew information and uncertainty relations.Physical review letters, 91 18
S. Campbell, Jonathan Richens, N. Gullo, T. Busch (2013)
Criticality, factorization, and long-range correlations in the anisotropic XY modelPhysical Review A, 88
YQ Ma, S Chen (2009)
Geometric phase and quantum phase transition in an inhomogeneous periodic $$XY$$ X Y spin- $$\frac{1}{2}$$ 1 2 modelPhys. Rev. A, 79
Kewei Sun, Yu-Yu Zhang, Qing-Hu Chen (2008)
Quantum phase transition in the one-dimensional period-two and uniform compass modelPhysical Review B, 79
Zhen Huang, O. Osenda, S. Kais (2004)
Entanglement of formation for one-dimensional magnetic systems with defectsPhysics Letters A, 322
P. Tong, Ming Zhong (2001)
Quantum phase transitions of periodic anisotropic XY chain in a transverse fieldPhysica B-condensed Matter, 304
Lina Chang, S. Luo (2013)
Remedying the local ancilla problem with geometric discordPhysical Review A, 87
A. Fubini, T. Roscilde, V. Tognetti, Matteo Tusa, P. Verrucchi (2005)
Reading entanglement in terms of spin configurations in quantum magnetsThe European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics, 38
J Maziero, HC Guzman, LC Celeri, MS Sarandy, RM Serra (2010)
Quantum and classical thermal correlations in the XY spin- $$\frac{1}{2}$$ 1 2 chainPhys. Rev. A, 82
La física, la astronomía (2010)
Quantum Phase Transition
G. Karpat, B. Çakmak, F. Fanchini (2014)
Quantum coherence and uncertainty in the anisotropic XY chainPhysical Review B, 90
Xue-ke Song, Tao Wu, L. Ye (2013)
The monogamy relation and quantum phase transition in one-dimensional anisotropic XXZ modelQuantum Information Processing, 12
S. Luo, Shuangshuang Fu, C. Oh (2012)
Quantifying correlations via the Wigner-Yanase skew informationPhysical Review A, 85
L. Amico, R. Fazio, A. Osterloh, V. Vedral (2007)
Entanglement in many-body systemsReviews of Modern Physics, 80
Lifa Zhang, P. Tong (2005)
Entanglement of periodic anisotropic XY chainsJournal of Physics A, 38
B Çakmak, G Karpat, FF Fanchini (2015)
Factorization and criticality in the anisotropic $$XY$$ X Y chain via correlationsEntropy, 17
D. Girolami, T. Tufarelli, G. Adesso (2012)
Characterizing nonclassical correlations via local quantum uncertainty.Physical review letters, 110 24
T. Osborne, M. Nielsen (2002)
Entanglement in a simple quantum phase transitionPhysical Review A, 66
B. Çakmak, G. Karpat, Z. Gedik (2012)
Critical point estimation and long-range behavior in the one-dimensional XY model using thermal quantum and total correlationsPhysics Letters A, 376
J. Maziero, H. Guzmán, L. Céleri, M. Sarandy, R. Serra (2010)
Quantum and classical thermal correlations in the XY spin-(1/2) chainPhysical Review A, 82
WW Cheng, J-M Liu (2010)
Fidelity susceptibility approach to quantum phase transitions in the $$XY$$ X Y spin chain with multisite interactionsPhys. Rev. A, 82
Yu-Quan Ma, Shu Chen (2009)
Erratum: Geometric phase and quantum phase transition in an inhomogeneous periodicXYspin-12model [Phys. Rev. A79, 022116 (2009)]Physical Review A, 79
Yu-Quan Ma, Shu Chen (2009)
Geometric phase and quantum phase transition in an inhomogeneous periodic XY spin-1/2 modelPhysical Review A, 79
A. Osterloh, L. Amico, G. Falci, R. Fazio (2002)
Scaling of entanglement close to a quantum phase transitionNature, 416
PQ Tong, M Zhong (2001)
Quantum phase transitions of periodic anisotropic $$XY$$ X Y chain in a transverse fieldPhys. B, 304
A. Wehrl (1978)
General properties of entropyReviews of Modern Physics, 50
L Amico, A Osterloh, F Plastina, R Fazio, GM Palma (2004)
Dynamics of entanglement in one-dimensional spin systemsPhys. Rev. A, 69
WW Cheng, CJ Shan, YB Sheng, LY Gong, SM Zhao, BY Zheng (2012)
Geometric discord approach to quantum phase transition in the anisotropy $$XY$$ X Y spin modelPhys. E, 44
P. Pfeuty (1970)
The one-dimensional Ising model with a transverse fieldAnnals of Physics, 57
B. Tomasello, D. Rossini, A. Hamma, L. Amico (2010)
Ground-state factorization and correlations with broken symmetryEPL (Europhysics Letters), 96
Han-dong Chen (2006)
Two-point entanglement near a quantum phase transitionJournal of Physics A: Mathematical and Theoretical, 40
J. Gemmer, Günter Mahler (2001)
Entanglement and the factorization-approximationThe European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics, 17
大矢 雅則, D. Petz (1993)
Quantum Entropy and Its Use
M Zhong, PQ Tong (2010)
The Ising and anisotropy phase transitions of the periodic $$XY$$ X Y model in a transverse fieldJ. Phys. A Math. Theor., 43
W. Cheng, C. Shan, Yu-Bo Sheng, L. Gong, S. Zhao, B. Zheng (2012)
Geometric discord approach to quantum phase transition in the anisotropy XY spin modelPhysica E-low-dimensional Systems & Nanostructures, 44
E. Lieb, T. Schultz, D. Mattis (1961)
Two Soluble Models of an Antiferromagnetic ChainAnnals of Physics, 16
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 .
Quantum Information Processing – Springer Journals
Published: May 5, 2015
Access the full text.
Sign up today, get DeepDyve free for 14 days.