Photon wave-packet manipulation via dynamic electromagnetically induced transparency in multilayer structures

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 81, Issue 1, 2010, Pages

  Bariani, Francesco ^a   Carusotto, Iacopo ^a  

^a UNIVERSITY OF TRENTO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ATOMIC SAMPLE; CONTINUITY EQUATIONS; CONTROL FIELDS; ELECTROMAGNETICALLY-INDUCED TRANSPARENCY; EXPERIMENTAL TECHNIQUES; GROUP-VELOCITY MISMATCH; LIGHT PULSE PROPAGATING; MAXWELL-BLOCH EQUATION; MODULATION SCHEMES; MULTI-LAYER SYSTEM; MULTILAYER STRUCTURES; POLARITONS; SLOWLY VARYING ENVELOPE APPROXIMATION; THEORETICAL STUDY; ULTRA-COLD;

DIAGNOSTIC RADIOGRAPHY; ELECTRIC IMPEDANCE; ELECTRIC IMPEDANCE TOMOGRAPHY; LIGHT PULSE GENERATORS; MAXWELL EQUATIONS; MULTILAYERS; PHOTONS; TRANSPARENCY;

QUANTUM OPTICS;

EID: 75849158968     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.81.013836     Document Type: Article

References (54)

1. E. Arimondo in Progress in Optics, edited by, E. Wolf, (Elsevier, Amsterdam, 1996), Vol. 35, p. 257.
2. S. E. Harris, Phys. Today 0031-9228 10.1063/1.881806 50 (7), 36 (1997);
3. M. D. Lukin, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.75.457 75, 457 (2003);
4. M. Fleischhauer, A. Imamoglu, and J. P. Marangos, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.77.633 77, 633 (2005).
5. M. Fleischhauer and M. D. Lukin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.5094 84, 5094 (2000);
6. M. Fleischhauer and M. D. Lukin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.022314 65, 022314 (2002);
7. G. Juzeliunas and H. J. Carmichael, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.021601 65, 021601 (R) (2002).
8. A. B. Matsko, Adv. At. Mol. Opt. Phys. PLRAAN 1049-250X 10.1016/S1049-250X(01)80064-1 46, 191 (2001).
9. M. F. Yanik and S. Fan, Stud. Appl. Math. SAPMB6 0022-2526 10.1111/j.1467-9590.2005.00327.x 115, 233 (2005).
10. A. André and M. D. Lukin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.143602 89, 143602 (2002);
11. M. Bajcsy, A. S. Zibrov, and M. D. Lukin, Nature (London) NATUAS 0028-0836 10.1038/nature02176 426, 638 (2003).
12. A. V. Gorshkov, A. André, M. D. Lukin, and A. S. Sørensen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.033804 76, 033804 (2007);
13. A. V. Gorshkov, A. André, M. D. Lukin, and A. S. Sørensen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.033805 76, 033805 (2007);
14. A. V. Gorshkov, A. André, M. D. Lukin, and A. S. Sørensen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.033806 76, 033806 (2007);
15. N. B. Phillips, A. V. Gorshkov, and I. Novikova, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.78.023801 78, 023801 (2008).
16. M. Kiffner and T. N. Dey, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.79.023829 79, 023829 (2009).
17. F. Bariani and I. Carusotto, J. Eur. Opt. Soc. Rapid Publ. PLRAAN 1990-2573 10.2971/jeos.2008.08005 3, 08005 (2008).
18. R. N. Shakhmuratov, A. A. Kalachev, and J. Odeurs, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.031802 76, 031802 (R) (2007);
19. R. N. Shakhmuratov and J. Odeurs, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.78.063810 78, 063810 (2008).
20. A. K. Patnaik, F. L. Kien, and K. Hakuta, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.035803 69, 035803 (2004).
21. I. Carusotto, M. Antezza, F. Bariani, S. De Liberato, and C. Ciuti, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.063621 77, 063621 (2008).
22. M. Artoni and G. C. La Rocca, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.073905 96, 073905 (2006);
23. D. Petrosyan, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.053823 76, 053823 (2007).
24. S. A. Moiseev and B. S. Ham, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.033812 73, 033812 (2006);
25. B. S. Ham and J. Hahn, e-print arXiv: 0901.1082.
26. R. Buffa, S. Cavalieri, and M. V. Tognetti, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.033815 69, 033815 (2004);
27. R. Buffa, S. Cavalieri, E. Sali, and M. V. Tognetti, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.053818 76, 053818 (2007).
28. V. G. Arkhipkin and I. V. Timofeev, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.025803 73, 025803 (2006).
29. L. V. Hau, S. E. Harris, Z. Dutton, and C. H. Behroozi, Nature (London) NATUAS 0028-0836 10.1038/17561 397, 594 (1999);
30. C. Liu, Z. Dutton, C. H. Behroozi, and L. V. Hau, Nature (London) NATUAS 0028-0836 10.1038/35054017 409, 490 (2001).
31. M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch, and I. Bloch, Nature (London) NATUAS 0028-0836 10.1038/415039a 415, 39 (2002).
32. U. Schnorrberger, J. D. Thompson, S. Trotzky, R. Pugatch, N. Davidson, S. Kuhr, and I. Bloch, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103. 033003 103, 033003 (2009).
33. J. Otterbach, R. G. Unanyan, and M. Fleischhauer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.063602 102, 063602 (2009).
34. C. Cohen-Tannoudji, J. Dupont-Roc, and G. Grynberg, Atom-Photon Interactions. Basic Processes and Applications (Wiley, New York, 1998).
35. S. E. Harris, J. E. Field, and A. Kasapi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.46.R29 46, R29 (1992).
36. M. O. Scully and M. S. Zubairy, Quantum Optics (Cambridge University Press, Cambridge, UK, 1997).
37. L. D. Landau, L. P. Pitaevskii, and E. M. Lifshitz, Electrodynamics in Continuous Media (Pergamon Press, Oxford, UK, 1984), 2nd ed.
38. We solve the set of MB Eqs. (6) by means of a finite-difference time-domain (FDTD) scheme with a fourth-order Runge-Kutta scheme to propagate the fields in time. Spatial derivatives of the fields are evaluated in momentum space using a discrete fast Fourier transform. The crucial issue limiting the speed of the numerical calculation is the time step of the FDTD evolution: Its maximum value is set by the width of the frequency band considered in the problem. A proper choice of f(k) with suitable upper and lower bounds makes it possible to restrict this bandwidth without affecting the physics.
39. I. H. Deutsch, R. J. C. Spreeuw, S. L. Rolston, and W. D. Phillips, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.52.1394 52, 1394 (1995);
40. T. Ikawa and K. Cho, Phys. Rev. B PLRAAN 1098-0121 10.1103/PhysRevB.66. 085338 66, 085338 (2002);
41. S. Rist, P. Vignolo, and G. Morigi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.79.053822 79, 053822 (2009).
42. V. V. Kozlov, S. Wallentowitz, and S. Raghavan, Phys. Lett. PYLAAG 0375-9601 10.1016/S0375-9601(02)00044-0 A296, 210 (2002).
43. J. D. Jackson, Classical Electrodynamics (Wiley, New York, 1975), 2nd ed.
44. M. Fleischhauer and A. S. Manka, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.54.794 54, 794 (1996).
45. F. Bariani, Light Propagation in Ultracold Atomic Gases, Ph.D. thesis (2009).
46. A. Messiah, Quantum Mechanics (Dover, New York, 2000).
47. J. J. Hopfield, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.112.1555 112, 1555 (1958);
48. M. Antezza and Y. Castin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80.013816 80, 013816 (2009);
49. M. Antezza and Y. Castin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.123903 103, 123903 (2009).
50. G. Nikoghosyan and G. Grigoryan, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.043814 72, 043814 (2005).
51. We stress that this diffusive model is able to reproduce the spatial smoothening of the polariton wave packet but still it misses the reduction of the total number of particles. Anyway this latter effect is here negligible.
52. We have solved Eq. (29) by means of a Runge-Kutta algorithm in the time domain exploiting a spatial grid shaped on the group velocity of each layer: In this way, the numerical solution of the propagation is much faster than the one of the three MB coupled equations. In particular, it is able to explore regimes where vgr/c1.
53. P. Kolchin, C. Belthangady, S. Du, G. Y. Yin, and S. E. Harris, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.103601 101, 103601 (2008).
54. See, e.g., D. A. Steck, Alkali D Line Data, available at: http://steck.us/alkalidata/.