No Access

QUANTUM PHASE TRANSITIONS AND ENTANGLEMENT IN J₁–J₂ MODEL

RECEP ERYIĞIT

Physics Department, Hacettepe University, 06800 Beytepe, Ankara, Turkey

Search for more papers by this author

RESUL ERYIĞIT

Physics Department, Hacettepe University, 06800 Beytepe, Ankara, Turkey

Department of Physics, Abant Izzet Baysal University, 14280 Bolu, Turkey

Search for more papers by this author

, and

YIĞIT GÜNDÜÇ

Physics Department, Hacettepe University, 06800 Beytepe, Ankara, Turkey

Search for more papers by this author

https://doi.org/10.1142/S0129183104006558Cited by:8 (Source: Crossref)

Abstract

We study ground state pairwise entanglement within one-dimensional spin-1/2 antiferromagnetic J₁–J₂ model with competing interactions. Contrary to some claims we found that frustration does not increase entanglement. Concurrence of nearest and next nearest neighbors are found to show abrupt change at phase transition points. We also show that the concurrence can be used to classify the phase diagram of the model in anisotropy–frustration plane.

Keywords:

You currently do not have access to the full text article.
Recommend the journal to your library today!

References

M. A. Nielsen, Ph.D. Thesis, University of Mexico (1998), quant-ph/0011036 . Google Scholar
M. C. Arnesen, S. Bose and V. Vedral, Phys. Rev. Lett. 87, 017901 (2001). Crossref, Web of Science, Google Scholar
X. G. Wang, H. C. Fu and A. I. Solomon, J. Phys. A: Math. Gen. 34, 11307 (2001). Crossref, ADS, Google Scholar
X. G. Wang, Phys. Rev. A 64, 012313 (2001). Crossref, Web of Science, Google Scholar
X. G. Wang, Phys. Lett. A 281, 101 (2001). Crossref, Web of Science, ADS, Google Scholar
X. Q. Xiet al., Phys. Lett. A 297, 291 (2002). Crossref, Web of Science, ADS, Google Scholar
T. F. Xuet al., Phys. Lett. A 298, 219 (2002). Crossref, Web of Science, ADS, Google Scholar
X. G. Wang, Phys. Rev. A 66, 034302 (2002). Crossref, Web of Science, Google Scholar
X. G. Wang, Phys. Rev. A 66, 044305 (2002). Crossref, Web of Science, Google Scholar
H. C. Fu, A. I. Solomon and X. G. Wang, J. Phys. A: Math. Gen. 35, 4293 (2002). Crossref, ADS, Google Scholar
L. Zhouet al., Phys. Rev. A 68, 024301 (2003). Crossref, Web of Science, Google Scholar
P. Štelmachovič and V. Bužek, e-print, quant-ph/0312154 . Google Scholar
A. Osterlohet al., Nature (London) 416, 608 (2002). Crossref, Web of Science, ADS, Google Scholar
T. J. Osborne and M. A. Nielsen, e-print, quant-ph/0202162 . Google Scholar
J. Vidal, G. Palagios and R. Mosseri, e-print, quant-ph/0305573 . Google Scholar
C. Wellard and R. Orus, e-print, quant-ph/0401144 . Google Scholar
S. Gu, H. Li, Y. Li and H. Lin, e-print, quant-ph/0403026 . Google Scholar
T. Tonegawa and I. Harada, J. Phys. Soc. Jpn. 56, 2153 (1987). Crossref, ADS, Google Scholar
T. Tonegawa and I. Harada, J. Phys. Colloq. 49, C8-1411 (1988). Google Scholar
K. Okamoto and K. Nomura, Phys. Lett. A 169, 433 (1992). Crossref, Web of Science, ADS, Google Scholar
D. J. J. Farnell and J. B. Parkinson, J. Phys.: Condens. Matter 6, 5521 (1994). Crossref, Web of Science, ADS, Google Scholar
C. Gerhardtet al., J. Phys.: Condens. Matter 9, 3435 (1997). Crossref, Web of Science, ADS, Google Scholar
S. Eggert, Phys. Rev. B 54, R9612 (1996). Crossref, Web of Science, ADS, Google Scholar
S. R. White and I. Affleck, Phys. Rev. B 54, 9862 (1996). Crossref, Web of Science, ADS, Google Scholar
S. Hirata and K. Nomura, Phys. Rev. B 61, 9453 (2000). Crossref, Web of Science, ADS, Google Scholar
K. Nomura and K. Okamoto, J. Phys. A 27, 5773 (1994); K. Nomura, ibid. 28, 5451 (1995) . Google Scholar
C. K. Majumdar and D. K. Gosh, J. Math. Phys. 10, 1388 (1969). Crossref, Web of Science, ADS, Google Scholar
C. K. Majumdar and D. K. Gosh, J. Math. Phys. 10, 1399 (1969). Crossref, Web of Science, ADS, Google Scholar
I. Bose and E. Chattopadhyay, Phys. Rev. A 66, 062320 (2002). Crossref, Web of Science, Google Scholar
C. H. Dawson and M. A. Nielsen, e-print, quant-ph/0401061 . Google Scholar
W. K. Wootters, Phys. Rev. Lett. 80, 2245 (1998). Crossref, Web of Science, ADS, Google Scholar
S. Gu, H. Lin and Y. Li, Phys. Rev. A 68, 042330 (2003). Crossref, Web of Science, Google Scholar
R. Somma, G. Ortiz, H. Barnum, E. Knill and L. Viola, e-print, quant-ph/0403035 . Google Scholar
K.-H. Mütter and P. Wielath, Z. Phys. B 100, 619 (1996). Crossref, ADS, Google Scholar