[go: up one dir, main page]
Skip to main content
SpringerLink
Log in

Quantum annealing search of Ising spin glass ground state(s) with tunable transverse and longitudinal fields

  • Original paper
  • Published:
Indian Journal of Physics Aims and scope Submit manuscript

Abstract

Here we first discuss briefly the quantum annealing technique. We then study the quantum annealing of Sherrington-Kirkpatrick spin glass model with the tuning of both transverse and longitudinal fields. Both the fields are time-dependent and vanish adiabatically at the same time, starting from high values. We solve, for rather small systems, the time-dependent Schrodinger equation of the total Hamiltonian by employing a numerical technique. At the end of annealing we obtain the final state having high overlap with the exact ground state(s) of classical spin glass system (obtained independently).

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2

Similar content being viewed by others

References

  1. S Kirkpatrick, C D Gelett and M P Vecchi Science 220 671 (1983)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  2. V Cerny J. Optim. Theory Appl. 45 41 (1985)

    Article  MATH  MathSciNet  Google Scholar 

  3. S Geman and D Geman IEEE Trans. Pattern. Anal. Mach. Intell. 6 721 (1984)

    Article  MATH  Google Scholar 

  4. A Das, B K Chakrabarti and A Dutta Indian. J. Phys. 78 685 (2004)

  5. A Das and B K Chakrabarti Rev. Mod. Phys. 80 1061 (2008)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  6. A K Chandra and B K Chakrabarti Computational statistical physics (India: Hindustan Book Agency) (ed.) S B Santra and P Ray p 251 (2011)

  7. I Bose Sci. Cult. 79 377 (2013)

    Google Scholar 

  8. A Ghosh and S Mukherjee Sci. Cult. 79 485 (2013)

  9. P Ray, B K Chakrabarti and A Chakrabarti Phys. Rev. B 39 11828 (1989)

  10. S Morita and H Nishimori J. Math. Phys. 49 125210 (2008)

  11. A Das, B K Chakrabarti and R B Stinchcombe Phys. Rev. E 72 026701 (2005)

    Article  ADS  Google Scholar 

  12. B K Chakrabarti and J -I Inoue Indian. J. Phys. 80 609 (2006)

  13. K Binder and A P Young Rev. Mod. Phys. 58 801 (1986)

    Article  ADS  Google Scholar 

  14. D Sherrington and S Kirkpatrick Phys. Rev. Lett. 35 1792 (1975)

    Article  ADS  Google Scholar 

  15. T Kadowaki and H Nishimori Phys. Rev. E 58 5355 (1998)

    Article  ADS  Google Scholar 

  16. V Bapst, L Foini, F Krzakala, G Semerjian and F Zamponi Phys. Rep. 523 127 (2013)

    Article  MathSciNet  ADS  Google Scholar 

  17. S Suzuki, J -I Inoue and B K Chakrabarti Quantum Ising phases and transitions in transverse Ising models 2nd edn. (Germany: Springer) p 225 (2013)

Download references

Author information

Authors and Affiliations

  1. Condensed Matter Physics Division, Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Kolkata, 700 064, India

    A Rajak & B K Chakrabarti

Authors
  1. A Rajak
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. B K Chakrabarti
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A Rajak.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Rajak, A., Chakrabarti, B.K. Quantum annealing search of Ising spin glass ground state(s) with tunable transverse and longitudinal fields. Indian J Phys 88, 951–955 (2014). https://doi.org/10.1007/s12648-014-0483-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12648-014-0483-9

Keywords

PACS Nos.

Search

Navigation