Input-output formalism for few-photon transport in one-dimensional nanophotonic waveguides coupled to a qubit

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 82, Issue 6, 2010, Pages

  Fan, Shanhui ^a   Kocabaş, Şükrü Ekin ^a   Shen, Jung Tsung ^b  

^a STANFORD UNIVERSITY   (United States)

^b WASHINGTON UNIVERSITY IN ST LOUIS   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

HEISENBERG; INPUT-OUTPUT; NANOPHOTONIC WAVEGUIDES; OPERATOR EQUATION; PHOTON TRANSPORT; TWO-PHOTON SCATTERING;

MATHEMATICAL OPERATORS; NANOPHOTONICS; QUANTUM CHEMISTRY; QUANTUM OPTICS; QUANTUM THEORY; SCATTERING PARAMETERS; WAVEGUIDES;

PHOTONS;

EID: 78650968333     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.82.063821     Document Type: Article

References (38)

1. J. L. O'Brien, A. Furusawa, and J. Vuckovic, Nat. Photon 1749-4885 10.1038/nphoton.2009.229 3, 687 (2009).
2. H. J. Kimble, Nature (London) NATUAS 0028-0836 10.1038/nature07127 453, 1023 (2008).
3. R. J. Schoelkopf and S. M. Girvin, Nature (London) NATUAS 0028-0836 10.1038/451664a 451, 664 (2008).
4. B. Dayan, A. S. Parkins, T. Aoki, E. P. Ostby, K. J. Vahala, and H. J. Kimble, Science SCIEAS 0036-8075 10.1126/science.1152261 319, 1062 (2008).
5. A. Wallraff, D. I. Schuster, A. Blais, L. Frunzio, R.-S. Huang, J. Majer, S. Kumar, S. M. Girvin, and R. J. Schoelkopf, Nature (London) NATUAS 0028-0836 10.1038/nature02851 431, 162 (2004).
6. O. Astafiev, A. M. Zagoskin, A. A. Abdumalikov Jr., Y. A. Pashkin, T. Yamamoto, K. Inomata, Y. Nakamura, and J. S. Tsai, Science SCIEAS 0036-8075 10.1126/science.1181918 327, 840 (2010).
7. O. V. Astafiev, A. A. Abdumalikov, A. M. Zagoskin, Y. A. Pashkin, Y. Nakamura, and J. S. Tsai, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 104.183603 104, 183603 (2010).
8. K. Kojima, H. F. Hofmann, S. Takeuchi, and K. Sasaki, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.013803 68, 013803 (2003).
9. J. T. Shen and S. Fan, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.30.002001 30, 2001 (2005).
10. J. T. Shen and S. Fan, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76. 062709 76, 062709 (2007).
11. J. T. Shen and S. Fan, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.153003 98, 153003 (2007).
12. D. E. Chang, A. S. Sørensen, E. A. Demler, and M. D. Lukin, Nature Phys. PRLTAO 1745-2473 10.1038/nphys708 3, 807 (2007).
13. D. Roy, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.81.155117 81, 155117 (2010).
14. V. I. Yudson and P. Reineker, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.78.052713 78, 052713 (2008).
15. D. Witthaut and A. S. Sørensen, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/12/4/043052 12, 043052 (2010).
16. H. Zheng, D. J. Gauthier, and H. U. Baranger (2010), e-print arXiv: 1009.5325.
17. J.-Q. Liao and C. K. Law, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.82.053836 82, 053836 (2010).
18. T. Shi and C. P. Sun, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.79. 205111 79, 205111 (2009).
19. T. Shi, S. Fan, and C. P. Sun (2010), e-print arXiv: 1009.2828.
20. P. Longo, P. Schmitteckert, and K. Busch, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.023602 104, 023602 (2010).
21. C. W. Gardiner and M. J. Collett, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.31.3761 31, 3761 (1985).
22. D. F. Walls and G. J. Milburn, Quantum Optics, 2nd ed. (Springer, New York, 2008), See Chap. 7 for the input-output formalism in cavities, and Sec. 10.5 for resonance fluorescence.
23. M. O. Scully and M. S. Zubairy, Quantum Optics (Cambridge University Press, Cambridge, 1997), See Chap. 6 for the derivation of the atom-field Hamiltonian, and Chap. 10 for resonance fluorescence.
24. K. J. Blow, R. Loudon, S. J. D. Phoenix, and T. J. Shepherd, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.42.4102 42, 4102 (1990).
25. R. Loudon, The Quantum Theory of Light, 3rd ed. (Oxford University Press, Oxford, 2000), Sec. 6.2.
26. J. R. Taylor, Scattering Theory: the Quantum Theory of Nonrelativistic Collisions (Dover, New York, 2006), Sec. 9-e and Chap. 10.
27. J. T. Cushing, Theory Construction and Selection in Modern Physics: the S Matrix (Cambridge University Press, Cambridge, 1990).
28. M. L. Goldberger and K. M. Watson, Collision Theory (Wiley, New York, 1964), pp. 209-215.
29. R. G. Newton, Scattering Theory of Waves and Particles, 2nd ed. (Springer-Verlag, New York, 1982), pp. 156-162.
30. B. J. Dalton, S. M. Barnett, and P. L. Knight, J. Mod. Opt. JMOPEW 0950-0340 10.1080/09500349908230404 46, 1107 (1999).
31. R. J. Glauber and M. Lewenstein, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.43.467 43, 467 (1991).
32. R. J. Thompson, G. Rempe, and H. J. Kimble, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.68.1132 68, 1132 (1992).
33. P. Domokos, P. Horak, and H. Ritsch, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.033832 65, 033832 (2002).
34. E. Waks and J. Vuckovic, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.153601 96, 153601 (2006).
35. E. Rephaeli, J. T. Shen, and S. Fan, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.82.033804 82, 033804 (2010).
36. J. Gough and M. R. James, IEEE Transactions on Automatic Control IETAA9 0018-9286 10.1109/TAC.2009.2031205 54, 2530 (2009).
37. J. Kerckhoff, H. I. Nurdin, D. S. Pavlichin, and H. Mabuchi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.040502 105, 040502 (2010).
38. H. A. Haus, Waves and Fields in Optoelectronics (Prentice Hall, Englewood Cliffs, 1984), Sec 7.4.