- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review E

Export citation

Export citation

Choose format for download:

Download Citation
  • Editors' Suggestion
  • Access by Xinjiang University

Measurement-induced operation of two-ion quantum heat machines

Suman Chand* and Asoka Biswas

  • Department of Physics, Indian Institute of Technology Ropar, Rupnagar, Punjab 140001, India

  • *suman.chand@iitrpr.ac.in
PDF

Phys. Rev. E 95, 032111 – Published 7 March, 2017

DOI: https://doi.org/10.1103/PhysRevE.95.032111

Abstract

We show how one can implement a quantum heat machine by using two interacting trapped ions, in presence of a thermal bath. The electronic states of the ions act like a working substance, while the vibrational mode is modelled as the cold bath. The heat exchange with the cold bath is mimicked by the projective measurement of the electronic states. We show how such measurement in a suitable basis can lead to either a quantum heat engine or a refrigerator, which undergoes a quantum Otto cycle. The local magnetic field is adiabatically changed during the heat cycle. The performance of the heat machine depends upon the interaction strength between the ions, the magnetic fields, and the measurement cost. In our model, the coupling to the hot and the cold baths is never switched off in an alternative fashion during the heat cycle, unlike other existing proposals of quantum heat engines. This makes our proposal experimentally realizable using current tapped-ion technology.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (53)

  1. G. Gemma, M. Michel, and G. Mahler, Quantum Thermodynamics (Springer, New York, 2004).
  2. E. P. Gyftopoulos and G. P. Beretta, Thermodynamics: Foundations and Applications (Dover, New York, 2005).
  3. H. T. Quan, Y.-X. Liu, C. P. Sun, and F. Nori, Phys. Rev. E 76, 031105 (2007); H. T. Quan, ibid. 79, 041129 (2009).
  4. H. E. D. Scovil and E. O. Schulz-DuBois, Phys. Rev. Lett. 2, 262 (1959).
  5. M. O. Scully, M. S. Zubairy, G. S. Agarwal, and H. Walther, Science 299, 862 (2003); M. O. Scully, Phys. Rev. Lett. 88, 050602 (2002); 87, 220601 (2001).
  6. T. Feldmann and R. Kosloff, Phys. Rev. E 61, 4774 (2000); 68, 016101 (2003); 70, 046110 (2004).
  7. X. L. Huang, T. Wang, and X. X. Yi, Phys. Rev. E 86, 051105 (2012).
  8. J. Wang, Z. Wu, and J. He, Phys. Rev. E 85, 041148 (2012).
  9. T. Zhang, W.-T. Liu, P.-X. Chen, and C.-Z. Li, Phys. Rev. A 75, 062102 (2007).
  10. G.-F. Zhang, Eur. Phys. J. D 49, 123 (2008).
  11. H. Wang, S. Liu, and J. He, Phys. Rev. E 79, 041113 (2009).
  12. G. Thomas and R. S. Johal, Phys. Rev. E 83, 031135 (2011); Eur. Phys. J. B 87, 166 (2014).
  13. F. Altintas, A. Ü. C. Hardal, and Ö. E. Müstecaplioğlu, Phys. Rev. E 90, 032102 (2014); F. Altintas and Ö. E. Müstecaplioğlu, ibid. 92, 022142 (2015).
  14. H. Xian and H. JiZuou, Sci. China-Phys. Mech. Astron. 55, 1751 (2012).
  15. X. L. Huang, Huan Xu, X. Y. Niu, and Y. D. Fu, Phys. Scr. 88, 065008 (2013).
  16. H. L. Hung, Y. Liu, Z. Wang, and X. Y. Niu, Eur. Phys. J. Plus 129, 4 (2014).
  17. J.-Z. He, X. He, and J. Zheng, Int. J. Theor. Phys. 51, 2066 (2012).
  18. S. Cakmak, F. Altintas, and Ö. E. Müstecaplioğlu, Eur. Phys. J. Plus 131, 197 (2016).
  19. G. Thomas, M. Banik, and S. Ghosh, arXiv:1607.00994.
  20. C. M. Bender, D. C. Brody, and B. K. Meister, J. Phys. A 33, 4427 (2000); Proc. R. Soc. London, Ser. A 458, 1519 (2002).
  21. H. T. Quan, P. Zhang, and C. P Sun, Phys. Rev. E 72, 056110 (2005).
  22. Y. Rezek and R. Kosloff, New J. Phys. 8, 83 (2006); R. Kosloff and Y. Rezek, arXiv:1612.03582.
  23. J. Wang, Z. Ye, Y. Lai, W. Li, and J. He, Phys. Rev. E 91, 062134 (2015).
  24. H. T. Quan, P. Zhang, and C. P Sun, Phys. Rev. E 73, 036122 (2006).
  25. O. Abah, J. Roßnagel, G. Jacob, S. Deffner, F. Schmidt-Kaler, K. Singer, and E. Lutz, Phys Rev. Lett. 109, 203006 (2012); J. Roßnagel, O. Abah, F. Schmidt-Kaler, K. Singer, and E. Lutz, ibid. 112, 030602 (2014).
  26. K. Zhang, F. Bariani, and P. Meystre, Phys. Rev. Lett. 112, 150602 (2014); Phys. Rev. A 90, 023819 (2014).
  27. B. Sothmann and M. Buttiker, Europhys. Lett. 99, 27001 (2012).
  28. O. Fialko and D. W. Hallwood, Phys. Rev. Lett. 108, 085303 (2012).
  29. A. U. C. Hardal and Ö. E. Müstecaplioğlu, Sci. Rep. 5, 12953 (2015).
  30. X. L. Huang, L. C. Wang, and X. X. Yi, Phys. Rev. E 87, 012144 (2013).
  31. E. Latifa and A. Purwanto, J. Mod. Phys. 4, 1091 (2013).
  32. Xiao-Li Huang, Xin-Ya Niu, Xiao-Ming Xiu, and Xue-Xi Yi, Eur. Phys. J. D 68, 32 (2014).
  33. J. He, J. Chen, and B. Hua, Phys. Rev. E 65, 036145 (2002).
  34. Y. Hu, F. Wu, Y. Ma, J. He, J. Wang, A. C. Hernandez, and J. M. M. Roco, Phys. Rev. E 88, 062115 (2013).
  35. E. Albayrak, Int. J. Mod. Phys. B 27, 1350055 (2013).
  36. W. Hao and W. Geo-Xing, Chin. Phys. B 22, 050512 (2013).
  37. R. Long and W. Liu, Phys. Rev. E 91, 062137 (2015).
  38. T. Feldmann and R. Kosloff, Phys. Rev. E 93, 052150 (2016).
  39. O. Abah and E. Lutz, Europhys. Lett. 113, 60002 (2016).
  40. N. Brunner, M. Huber, N. Linden, S. Popescu, R. Silva, and P. Skrzypczyk, Phys. Rev. E 89, 032115 (2014).
  41. R. Uzdin, A. Levy, and R. Kosloff, Phys. Rev. X 5, 031044 (2015) and references therein.
  42. A. Einstein, B. Podolsky, and N. Rozen, Phys. Rev. 47, 777 (1935).
  43. E. Schrodinger, Naturwissenschaften 23, 807 (1935).
  44. C. H. Bennett and D. P. DiVincenzo, Nature (London) 404, 247 (2000).
  45. D. Gelbwaser-Klimovsky, W. Niedenzu, and G. Kurizki, Adv. At. Mol. Opt. Phys. 64, 329 (2015) and references therein.
  46. D. Gelbwaser-Klimovsky, R. Alicki, and G. Kurizki, Phys. Rev. E 87, 012140 (2013); Europhys. Lett. 103, 60005 (2013); D. Gelbwaser-Klimovsky and G. Kurizki, Phys. Rev. E 90, 022102 (2014); Sci. Rep. 5, 7809 (2015); R. Kosloff and A. Levy, Annu. Rev. Phys. Chem. 65, 365 (2014).
  47. C. Monroe, D. M. Meekhof, B. E. King, S. R. Jefferts, W. M. Itano, D. J. Wineland, and P. Gould, Phys. Rev Lett. 75, 4011 (1995).
  48. A. Biswas and P. Brumer, Israel J. Chem. 52, 461 (2012).
  49. T. D. Kieu, Phys. Rev. Lett. 93, 140403 (2004).
  50. N. Erez, G. Gordon, M. Nest, and G. Kurizki, Nature (London) 452, 724 (2008); G. Gordon, G. Bensky, D. Gelbwaser-Klimovsky, D. D. Bhaktavatsala Rao, N. Erez, and G. Kurizki, New J. Phys. 11, 123025 (2009); D. Gelbwaser-Klimovsky, N. Erez, R. Alicki, and G. Kurizki, Phys. Rev. A 88, 022112 (2013).
  51. S. Chand and A. Biswas, arXiv:1603.08375.
  52. K. Abdelkhalek, Y. Nakata, and D. Reeb, arXiv:1609.06981.
  53. O. Abah and E. Lutz, arXiv:1611.09045.

Outline

Information

Phys. Rev. E 95, 032111– Published 7 March, 2017
  • Received 30 December 2016

©2017 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation