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Heat capacity and entanglement measure in a simple two-qubit model

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Abstract

A simple two-qubit model showing quantum phase transitions as a consequence of ground-state-level crossings is studied in detail. Using the system’s concurrence as an entanglement measure and heat capacity as a marker of thermodynamical properties, we obtain an analytical expression giving the latter in terms of the former. A protocol allowing an experimental measure of entanglement is then presented and compared with a related proposal recently reported by Wieśniak, Vedral, and Brukner.

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References

  1. A. Osterloh, L. Amico, G. Falci, and R. Fazio, Nature, 410, 608 (2002).

    Article  ADS  Google Scholar 

  2. T. J. Osborne and M. A. Nielsen, Phys. Rev. A, 66, 032110 (2002).

    Article  MathSciNet  ADS  Google Scholar 

  3. M. Greiner, O. Mandel, T. Esslinger, et al., Nature, 415, 39 (2002).

    Article  ADS  Google Scholar 

  4. S. Sachdev, Quantum Phase Transitions, Cambridge University Press (2008).

  5. H.-M. Kwok, C.-S. Ho, and S.-J. Gu, Phys. Rev. A, 78, 062302 (2008)

    Article  ADS  Google Scholar 

  6. W. Son, L. Amico, F. Plastina, and V. Vedral, Phys. Rev. A, 79, 022302 (2009)

    Article  ADS  Google Scholar 

  7. J. Vidal, G. Palacios, and R. Mosseri, Phys. Rev. A, 69, 022107 (2004)

    Article  ADS  Google Scholar 

  8. M. C. Arnesen, S. Bose, and V. Vedral, Phys. Rev. Lett., 87, 017901 (2001)

    Article  ADS  Google Scholar 

  9. S.-J. Gu, G.-S. Tian, and H.-Q. Lin, Phys. Rev. A, 71, 052322 (2005)

    Article  MathSciNet  ADS  Google Scholar 

  10. L. A. Wu, M. S. Sarandy, and D. A. Lidar, Phys. Rev. Lett., 93, 250404 (2004).

    Article  MathSciNet  ADS  Google Scholar 

  11. G. Mahler, J. Gemmer, and M. Michel, Physica E, 29, 53 (2005).

    Article  ADS  Google Scholar 

  12. M. Hartmann, G. Mahler, and O. Hess, Phys. Rev. Lett., 93, 080402 (2004).

    Article  ADS  Google Scholar 

  13. J.-Q. Liao, J.-F. Huang, and L.-M. Kuang, “Quantum thermalization of two coupled two-level systems in both eigenstate and bare-state representations,” arXiv:1007.4296v2 (2011).

  14. M. C. Bañuls, J. I. Cirac, and M. B. Hastings, Phys. Rev. Lett., 106, 050405 (2011).

    Article  ADS  Google Scholar 

  15. M. Wieśniak, V. Vedral, and Č. Brukner, Phys. Rev. B, 78, 064108 (2008).

    Article  ADS  Google Scholar 

  16. R. Brustein and A. Yarom, Phys. Rev. D, 69, 064013 (2004).

    Article  MathSciNet  ADS  Google Scholar 

  17. M. Asoudeh and V. Karimipour, Phys. Rev. A, 70, 052307 (2004).

    Article  ADS  Google Scholar 

  18. H. T. Quan, Z. D. Wang, and C. P. Sun, Phys. Rev. A, 76, 012104 (2007)

    Article  ADS  Google Scholar 

  19. J. Ren, S. Zhu, and X. Hao, J. Phys. B: At. Mol. Opt. Phys., 42, 015504 (2009).

    Article  ADS  Google Scholar 

  20. S. Campbell and M. Paternostro, Phys. Rev. A, 82, 042324 (2010)

    Article  ADS  Google Scholar 

  21. P. Hänggi, G.-L. Ingold, and P. Talkner, New J. Phys., 10, 115008 (2008)

    Article  Google Scholar 

  22. X. Wang, Phys. Rev. A, 64, 012313 (2001).

    Article  ADS  Google Scholar 

  23. W. Greiner, L. Neise, and H. Stöcker, Thermodynamics and Statistical Mechanics, Springer (1997), p. 221.

  24. G. Tóth, Phys. Rev. A, 71, 010301(R) (2005).

    Article  ADS  Google Scholar 

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Correspondence to B. Leggio.

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Leggio, B., Napoli, A., Nakazato, H. et al. Heat capacity and entanglement measure in a simple two-qubit model. J Russ Laser Res 32, 362–371 (2011). https://doi.org/10.1007/s10946-011-9224-0

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  • DOI: https://doi.org/10.1007/s10946-011-9224-0

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