Quantum transport of strongly interacting photons in a one-dimensional nonlinear waveguide

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 85, Issue 1, 2012, Pages

  Hafezi, Mohammad ^a,d   Chang, Darrick E ^b   Gritsev, Vladimir ^c   Demler, Eugene ^a   Lukin, Mikhail D ^a  

^a HARVARD UNIVERSITY   (United States)

^b CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

^c UNIVERSITY OF FRIBOURG   (Switzerland)

^d University of Maryland   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANTI-BUNCHING; ATOMIC SYSTEM; BOUND STATE; BUNCHING BEHAVIOR; COLD ATOMS; DINGER EQUATION; HOLLOW-CORE; INTERACTING PHOTONS; MULTIPHOTONS; NON-LINEARITY; NONLINEAR WAVEGUIDES; OPTICAL FIELD; QUANTUM TRANSPORT; RESONANT EXCITATION; SEMICLASSICAL CALCULATION; SINGLE-PHOTON LEVEL; SINGLE-PHOTON SWITCHES; STRONGLY NONLINEAR; THEORETICAL TECHNIQUE; TRANSMITTED LIGHT;

OPTICAL FIBERS; PARTICLE BEAMS; PHOTONS; QUANTUM ELECTRONICS; WAVEGUIDES;

QUANTUM CHEMISTRY;

EID: 84856050063     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.85.013822     Document Type: Article

References (53)

1. K. M. Birnbaum, A. Boca, R. Miller, A. D. Boozer, T. E. Northup, and H. J. Kimble, Nature (London) NATUAS 0028-0836 10.1038/nature03804 436, 87 (2005). (Pubitemid 40966189)
2. I. Schuster, A. Kubanek, A. Fuhrmanek, T. Puppe, P. W. H. Pinkse, K. Murr, and G. Rempe, Nat. Phys. NATUAS 1745-2473 10.1038/nphys940 4, 382 (2008).
3. D. E. Chang, A. S. Sørensen, E. A. Demler, and M. D. Lukin, Nat. Phys. NATUAS 1745-2473 10.1038/nphys708 3, 807 (2007).
4. M. J. Hartmann, F. G. S. L. Brandao, and M. B. Plenio, Nat. Phys. NATUAS 1745-2473 10.1038/nphys462 2, 849 (2006). (Pubitemid 44853583)
5. D. G. Angelakis, M. F. Santos, and S. Bose, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.031805 76, 031805 (R) (2007). (Pubitemid 47510818)
6. A. D. Greentree, C. Tahan, J. H. Cole, and L. C. L. Hollenberg, Nat. Phys. PLRAAN 1745-2473 10.1038/nphys466 2, 856 (2006). (Pubitemid 44853584)
7. D. E. Chang, V. Gritsev, G. Morigi, V. Vuletic, M. D. Lukin, and E. A. Demler, Nat. Phys. PLRAAN 1745-2473 10.1038/nphys1074 4, 884 (2008).
8. J. M. Raimond, M. Brune, and S. Haroche, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.73.565 73, 565 (2001).
9. A. Imamoglu, H. Schmidt, G. Woods, and M. Deutsch, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.1467 79, 1467 (1997).
10. I. Carusotto, D. Gerace, H. E. Tureci, S. De Liberato, C. Ciuti, and A. Imamoglu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.033601 103, 033601 (2009).
11. P. Grangier, D. F. Walls, and K. M. Gheri, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.2833 81, 2833 (1998).
12. A. Imamoglu, H. Schmidt, G. Woods, and M. Deutsch, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.2836 81, 2836 (1998).
13. S. Ghosh, J. E. Sharping, D. G. Ouzounov, and A. L. Gaeta, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.093902 94, 093902 (2005). (Pubitemid 40620603)
14. F. L. LeKien and K. Hakuta, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.033826 77, 033826 (2008). (Pubitemid 351393378)
15. A. V. Akimov, A. Mukherjee, C. L. Yu, D. E. Chang, A. S. Zibrov, P. R. Hemmer, H. Park, and M. D. Lukin, Nature (London) NATUAS 0028-0836 10.1038/nature06230 450, 402 (2008).
16. M. Bajcsy, S. Hofferberth, V. Balic, T. Peyronel, M. Hafezi, A. S. Zibrov, V. Vuletic, and M. D. Lukin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.203902 102, 203902 (2009).
17. E. Vetsch, D. Reitz, G. Sagué, R. Schmidt, S. T. Dawkins, and A. Rauschenbeutel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.203603 104, 203603 (2010).
18. M. Bajcsy, S. Hofferberth, T. Peyronel, V. Balic, Q. Liang, A. S. Zibrov, V. Vuletic, and M. D. Lukin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.83. 063830 83, 063830 (2011).
19. S. Dawkins, R. Mitsch, D. Reitz, E. Vetsch, and A. Rauschenbeutel, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.107.243601 107, 243601 (2011).
20. Y. Lai and H. A. Haus, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.40. 844 40, 844 (1989).
21. F. X. Kärtner and H. A. Haus, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.48.2361 48, 2361 (1993).
22. P. Drummond, online lecture notes, 2001.
23. J.-T. Shen and S. Fan, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.153003 98, 153003 (2007). (Pubitemid 46589311)
24. M. Hafezi, D. A. Chang, V. Gritsev, E. A. Demler, and M. D. Lukin, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/94/54006 94, 54006 (2011).
25. E. H. Lieb and W. Liniger, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.130.1605 130, 1605 (1963).
26. V. E. Korepin, N. M. Bogoliubov, and A. G. Izergin, Quantum Inverse Scattering Method and Correlation Functions (Cambridge University Press, Cambridge, 1993).
27. T. Kinoshita, T. Wenger, and D. Weiss, Science SCIEAS 0036-8075 10.1126/science.1100700 305, 1125 (2004). (Pubitemid 39100318)
28. B. Parades, Nature (London) NATUAS 0028-0836 10.1038/nature02530 429, 277 (2004). (Pubitemid 38684809)
29. P. Calabrese and J.-S. Caux, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.150403 98, 150403 (2007). (Pubitemid 46574385)
30. R. Y. Chiao, I. H. Deutsch, and J. C. Garrison, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.67.1399 67, 1399 (1991).
31. I. H. Deutsch, R. Y. Chiao, and J. C. Garrison, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.69.3627 69, 3627 (1992).
32. Y. Lai and H. A. Haus, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.40. 854 40, 854 (1989).
33. M. Fleischhauer and M. D. Lukin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.5094 84, 5094 (2000).
34. A. André and M. D. Lukin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.143602 89, 143602 (2002).
35. M. Bajcsy, A. S. Zibrov, and M. D. Lukin, Nature (London) NATUAS 0028-0836 10.1038/nature02176 426, 638 (2003). (Pubitemid 38009366)
36. H. Schmidt and A. Imamoglu, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.21.001936 21, 1936 (1996).
37. F. Zimmer, A. André, M. Lukin, and M. Fleischhauer, Opt. Commun. OPCOB8 0030-4018 10.1016/j.optcom.2006.03.075 264, 441 (2006). (Pubitemid 44162950)
38. F. E. Zimmer, J. Otterbach, R. G. Unanyan, B. W. Shore, and M. Fleischhauer, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.063823 77, 063823 (2008).
39. M. D. Lukin, M. Fleischhauer, M. O. Scully, and V. L. Velichansky, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.23.000295 23, 295 (1998).
40. K. Rapedius and H. J. Korsch, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.063610 77, 063610 (2008).
41. S. E. Harris and Y. Yamamoto, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.3611 81, 3611 (1998).
42. P. D. Drummond, R. M. Shelby, S. R. Friberg, and Y. Yamamoto, Nature (London) NATUAS 0028-0836 10.1038/365307a0 365, 307 (1993).
43. G. P. Agrawal, Nonlinear Fiber Optics (Academic Press, San Diego, 2007).
44. H. A. Haus, Electromagnetic Noise and Quantum Optical Measurements (Springer, Berlin, 2000).
45. C. W. Gardiner and M. J. Collett, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.31.3761 31, 3761 (1985).
46. M. Girardeau, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1703687 1, 516 (1960).
47. T. Kojima, J. Stat. Phys. JSTPBS 0022-4715 10.1023/B:JOSS.0000015169. 89162.d9 88, 713 (1997).
48. V. L. Bulatov, Theor. Math. Phys. TMPHAH 0040-5779 10.1007/BF01017178 75, 433 (1988).
49. M. Gaudin, La Fonction d'onde de Bethe (Collection du Commissariat à l'énergie atomique) (Masson, Paris, 1983).
50. T. Dorlas, Commun. Math. Phys. 0010-3616 10.1007/BF02097001 154, 347 (1993).
51. M. Kiffner and M. Hartmann, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.021806 81, 021806 (R) (2010).
52. A. André, Ph.D. thesis, Harvard University, 2005.
53. J. Strikwerda, Finite Difference Schemes and Partial Differential Equations (Society for Industrial and Applied Mathematics, Philadelphia, 2004).