[en] We study a two-level atom in a double-well potential coupled to a continuum of electromagnetic modes (black-body radiation in three dimensions at zero absolute temperature). Internal and external degrees of freedom of the atom couple due to recoil during emission of a photon. We provide a full analysis of the problem in the long wavelengths limit up to the border of the Lamb-Dicke regime, including a study of the internal dynamics of the atom (spontaneous emission), the tunneling motion, and the electric field of the emitted photon. The tunneling process itself may or may not decohere depending on the wavelength corresponding to the internal transition compared to the distance between the two wells of the external potential, as well as on the spontaneous emission rate compared to the tunneling frequency. Interference fringes appear in the emitted light from a tunneling atom, or an atom in a stationary coherent superposition of its center-of-mass motion, if the wavelength is comparable to the well separation, but only if the external state of the atom is post selected.
Disciplines :
Physics
Author, co-author :
Braun, Daniel; Laboratoire de Physique Théorique--IRSAMC, CNRS, Université Paul Sabatier, Toulouse, France
Martin, John ; Université de Liège - ULiège > Département de physique > Physique des atomes froids
Language :
English
Title :
Spontaneous emission from a two-level atom tunneling in a double-well potential
Publication date :
2008
Journal title :
Physical Review. A, Atomic, molecular, and optical physics
ISSN :
1050-2947
eISSN :
1094-1622
Publisher :
American Physical Society, United States - Maryland
G. Lenz and P. Meystre, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.48.3365 48, 3365 (1993).
U. Eichmann, J. C. Bergquist, J. J. Bollinger, J. M. Gilligan, W. M. Itano, D. J. Wineland, and M. G. Raizen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.70.2359 70, 2359 (1993).
W. M. Itano, J. C. Bergquist, J. J. Bollinger, D. J. Wineland, U. Eichmann, and M. G. Raizen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.57. 4176 57, 4176 (1998).
G. S. Agarwal, J. von Zanthier, C. Skornia, and H. Walther, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.053826 65, 053826 (2002).
J. M. Feagin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.022108 73, 022108 (2006).
C. Wickles and C. Müller, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2005-10527-x 74, 240 (2006).
J. Sebby-Strabley, M. Anderlini, P. S. Jessen, and J. V. Porto, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.033605 73, 033605 (2006).
Y. Shin, M. Saba, T. A. Pasquini, W. Ketterle, D. E. Pritchard, and A. E. Leanhardt, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.050405 92, 050405 (2004).
W. Hänsel, J. Reichel, P. Hommelhoff, and T. W. Hänsch, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.64.063607 64, 063607 (2001).
P. Treutlein, T. W. Hansch, J. Reichel, A. Negretti, M. A. Cirone, and T. Calarco, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.022312 74, 022312 (2006).
O. Carnal and J. Mlynek, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.66.2689 66, 2689 (1991).
D. W. Keith, C. R. Ekstrom, Q. A. Turchette, and D. E. Pritchard, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.66.2693 66, 2693 (1991).
L. Hackermüller, K. Hornberger, B. Brezger, A. Zeilinger, and M. Arndt, Nature (London) NATUAS 0028-0836 10.1038/nature02276 427, 711 (2004).
A. Miffre, M. Jacquey, M. Büchner, G. Trénec, and J. Vigué, Phys. Scr. PHSTBO 0031-8949 10.1088/0031-8949/74/2/N01 74, C15 (2006).
C. Monroe, D. M. Meekho, B. E. King, and D. J. Wineland, Science SCIEAS 0036-8075 10.1126/science.272.5265.1131 272, 1131 (1996).
C. Cohen-Tannoudji, F. Bardou, and A. Aspect, Laser Spectroscopy (World Scientific, Singapore, 1992), Sec. X, p. 3.
D. Rohrlich, Y. Neiman, Y. Japha, and R. Folman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.173601 96, 173601 (2006).
H. Schomerus, Y. Noat, J. Dalibard, and C. W. J. Beenakker, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2002-00512-5 57, 651 (2002).
Y. Japha and G. Kurizki, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.2909 77, 2909 (1996).
J. Martin and D. Braun, e-print arXiv:0704.0763.
V. Weisskopf and E. Wigner, Z. Phys. ZEPYAA 0044-3328 10.1007/BF01336768 63, 54 (1930).
M. Scully and M. Zubairy, Quantum Optics (Cambridge University Press, Cambridge, UK, 1997).
P. R. Berman, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.025804 72, 025804 (2005).
J. Ankerhold, H. Grabert, and G.-L. Ingold, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.51.4267 51, 4267 (1995).
D. Braun, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.277901 89, 277901 (2002).
A. A. R. Neves, L. A. Padilha, A. Fontes, E. Rodriguez, C. H. B. Curz, L. C. Barbosa, and C. L. Cesar, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/39/ 18/L06 39, L293 (2006).
M. O. Scully, H. Walther, and W. P. Schleich, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.49.1562 49, 1562 (1994).
B. M. Bolotovskii and A. V. Serov, Bull. Lebedev Phys. Inst. BLPIEN 1068-3356 34, 73 (2007).
E. A. Hinds, C. J. Vale, and M. G. Boshier, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.1462 86, 1462 (2001).
J. McKeever, J. R. Buck, A. D. Boozer, A. Kuzmich, H.-C. Nägerl, D. M. Stamper-Kurn, and H. J. Kimble, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.133602 90, 133602 (2003).
H. Katori, M. Takamoto, V. G. Pal'chikov, and V. D. Ovsiannikov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.173005 91, 173005 (2003).
A. Brusch, R. LeTargat, X. Baillard, M. Fouche, and P. Lemonde, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.103003 96, 103003 (2006).
Z. W. Barber, C. W. Hoyt, C. W. Oates, L. Hollberg, A. V. Taichenachev, and V. I. Yudin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.083002 96, 083002 (2006).
C. Cohen-Tannoudji, J. Dupont-Roc, and G. Grynberg, Processus d'Interaction Entre Photons et Atomes (EDP Sciences/CNRS Iditions, Paris, 2001).
A. V. Taichenachev, V. I. Yudin, C. W. Oates, C. W. Hoyt, Z. W. Barber, and L. Hollberg, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.083001 96, 083001 (2006).
V. D. Ovsiannikov, V. G. Pal'chikov, A. V. Taichenachev, V. I. Yudin, H. Katori, and M. Takamoto, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75. 020501 75, 020501 (2007).
D. L. Haycock, P. M. Alsing, I. H. Deutsch, J. Grondalski, and P. S. Jessen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.3365 85, 3365 (2000).
