[en] We investigate superradiance and subradiance of indistinguishable atoms with quantized motional states, starting with an initial total state that factorizes over the internal and external degrees of freedom of the atoms. Due to the permutational symmetry of the motional state, the cooperative spontaneous emission, governed by a recently derived master equation [F. Damanet et al., Phys. Rev. A 93, 022124 (2016)], depends only on two decay rates γ and γ0 and a single parameter dd describing the dipole-dipole shifts. We solve the dynamics exactly for N = 2 atoms, numerically for up to 30 atoms, and obtain the large-N limit by a mean-field approach. We find that there is a critical difference γ0 − γ that depends on N beyond which superradiance is lost. We show that exact nontrivial dark states (i.e., states other than the ground state with vanishing spontaneous emission) only exist for γ = γ0 and that those states (dark when γ = γ0) are subradiant when γ < γ0.
Disciplines :
Physics
Author, co-author :
Damanet, François ; Université de Liège > Département de physique > Optique quantique
Braun, Daniel; Institut für theoretische Physik, Universität Tübingen, 72076 Tübingen, Germany
Martin, John ; Université de Liège > Département de physique > Optique quantique
Language :
English
Title :
Cooperative spontaneous emission from indistinguishable atoms in arbitrary motional quantum states
Publication date :
September 2016
Journal title :
Physical Review. A, Atomic, molecular, and optical physics
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Bibliography
R. H. Dicke, Phys. Rev. 93, 99 (1954). PHRVAO 0031-899X 10.1103/PhysRev.93.99
R. Friedberg, S. R. Hartmann, and J. T. Manassah, Phys. Lett. A 40, 365 (1972). PYLAAG 0375-9601 10.1016/0375-9601(72)90533-6
F. Friedberg and S. R. Hartmann, Phys. Rev. A 10, 1728 (1974). 1050-2947 10.1103/PhysRevA.10.1728
M. Gross and S. Haroche, Phys. Rep. 93, 301 (1982). PRPLCM 0370-1573 10.1016/0370-1573(82)90102-8
B. Coffey and R. Friedberg, Phys. Rev. A 17, 1033 (1978). 1050-2947 10.1103/PhysRevA.17.1033
H. S. Freedhoff, J. Phys. B 19, 3035 (1986). JPAMA4 0022-3700 10.1088/0022-3700/19/19/017
H. S. Freedhoff, J. Phys. B 20, 285 (1987). JPAMA4 0022-3700 10.1088/0022-3700/20/2/012
T. Richter, J. Phys. B 23, 4415 (1990). JPAPEH 0953-4075 10.1088/0953-4075/23/23/020
W. Feng, Y. Li, and S.-Y. Zhu, Phys. Rev. A 88, 033856 (2013). PLRAAN 1050-2947 10.1103/PhysRevA.88.033856
M. O. Scully, E. S. Fry, C. H. Ooi, and K. Wódkiewicz, Phys. Rev. Lett. 96, 010501 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.010501
M. O. Scully and A. A. Svidzinsky, Science 325, 1510 (2009). SCIEAS 0036-8075 10.1126/science.1176695
R. A. de Oliveira, M. S. Mendes, W. S. Martins, P. L. Saldanha, J. W. R. Tabosa, and D. Felinto, Phys. Rev. A 90, 023848 (2014). PLRAAN 1050-2947 10.1103/PhysRevA.90.023848
X. Kong and A. Pálffy, arXiv:1606.02988.
T. Bienaimé, N. Piovella, and R. Kaiser, Phys. Rev. Lett. 108, 123602 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.108.123602
W. Guerin, M. O. Araùjo, and R. Kaiser, Phys. Rev. Lett. 116, 083601 (2016). PRLTAO 0031-9007 10.1103/PhysRevLett.116.083601
R. Röhlsberger, K. Schlage, B. Sahoo, S. Couet, and R. Rüffer, Science 328, 1248 (2010). SCIEAS 0036-8075 10.1126/science.1187770
Z. Meir, O. Schwartz, E. Shahmoon, D. Oron, and R. Ozeri, Phys. Rev. Lett. 113, 193002 (2014). PRLTAO 0031-9007 10.1103/PhysRevLett.113.193002
E. Akkermans, A. Gero, and R. Kaiser, Phys. Rev. Lett. 101, 103602 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.101.103602
C. E. Máximo, N. Piovella, P. W. Courteille, R. Kaiser, and R. Bachelard, Phys. Rev. A 92, 062702 (2015). PLRAAN 1050-2947 10.1103/PhysRevA.92.062702
R. Wiegner, J. von Zanthier, and G. S. Agarwal, Phys. Rev. A 84, 023805 (2011). PLRAAN 1050-2947 10.1103/PhysRevA.84.023805
R. Wiegner, S. Oppel, D. Bhatti, J. von Zanthier, and G. S. Agarwal, Phys. Rev. A 92, 033832 (2015). PLRAAN 1050-2947 10.1103/PhysRevA.92.033832
M. Wilkens and P. Meystre, Opt. Commun. 94, 66 (1992). OPCOB8 0030-4018 10.1016/0030-4018(92)90407-I
J. Javanainen, Phys. Rev. Lett. 72, 2375 (1994). PRLTAO 0031-9007 10.1103/PhysRevLett.72.2375
L. You, M. Lewenstein, and J. Cooper, Phys. Rev. A 50, R3565 (R) (1994). PLRAAN 1050-2947 10.1103/PhysRevA.50.R3565
P. R. Berman, Phys. Rev. A 55, 4466 (1997). PLRAAN 1050-2947 10.1103/PhysRevA.55.4466
D. Braun and J. Martin, Phys. Rev. A 77, 032102 (2008). PLRAAN 1050-2947 10.1103/PhysRevA.77.032102
Q. Li, D. Z. Xu, C. Y. Cai, and C. P. Sun, Sci. Rep. 3, 3144 (2013). 10.1038/srep03144
J. Dalibard and C. Cohen-Tannoudji, J. Opt. Soc. Am. B 2, 1707 (1985). JOBPDE 0740-3224 10.1364/JOSAB.2.001707
V. G. Minogin and V. S. Letokhov, Laser Light Pressure on Atoms (CRC, Boca Raton, 1987).
C. N. Cohen-Tannoudji, Rev. Mod. Phys. 70, 707 (1998). RMPHAT 0034-6861 10.1103/RevModPhys.70.707
C. E. Wieman, D. E. Pritchard, and D. J. Wineland, Rev. Mod. Phys. 71, S253 (1999). RMPHAT 0034-6861 10.1103/RevModPhys.71.S253
P. Domokos and H. Ritsch, J. Opt. Soc. Am. B 20, 1098 (2003). JOBPDE 0740-3224 10.1364/JOSAB.20.001098
J. Schachenmayer, L. Pollet, M. Troyer, and A. J. Daley, Phys. Rev. A 89, 011601 (2014). PLRAAN 1050-2947 10.1103/PhysRevA.89.011601
S. Sarkar, S. Langer, J. Schachenmayer, and A. J. Daley, Phys. Rev. A 90, 023618 (2014). PLRAAN 1050-2947 10.1103/PhysRevA.90.023618
B. Zhu, J. Cooper, J. Ye, and A. M. Rey, Phys. Rev. A 94, 023612 (2016). 10.1103/PhysRevA.94.023612
G. Labeyrie, D. Delande, R. Kaiser, and C. Miniatura, Phys. Rev. Lett. 97, 013004 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.97.013004
J. Pellegrino, R. Bourgain, S. Jennewein, Y. R. P. Sortais, A. Browaeys, S. D. Jenkins, and J. Ruostekoski, Phys. Rev. Lett. 113, 133602 (2014). PRLTAO 0031-9007 10.1103/PhysRevLett.113.133602
S. D. Jenkins, J. Ruostekoski, J. Javanainen, R. Bourgain, S. Jennewein, Y. R. P. Sortais, and A. Browaeys, Phys. Rev. Lett. 116, 183601 (2016). PRLTAO 0031-9007 10.1103/PhysRevLett.116.183601
S. D. Jenkins, J. Ruostekovski, J. Javanainen, S. Jennewein, R. Bourgain, J. Pellegrino, Y. R. P. Sortais, and A. Browaeys, Phys. Rev. A 94, 023842 (2016) 10.1103/PhysRevA.94.023842.
S. L. Bromley, B. Zhu, M. Bishof, X. Zhang, T. Bothwell, J. Schachenmayer, T. L. Nicholson, R. Kaiser, S. F. Yelin, M. D. Lukin, A. M. Rey, and J. Ye, Nat. Commun. 7, 11039 (2016). 2041-1723 10.1038/ncomms11039
M. Xu, S. B. Jäger, S. Schütz, J. Cooper, G. M. Morigi, and M. J. Holland, Phys. Rev. Lett. 116, 153002 (2016). PRLTAO 0031-9007 10.1103/PhysRevLett.116.153002
S. Inouye, A. P. Chikkatur, D. M. Stamper-Kurn, J. Stenger, D. E. Pritchard, and W. Ketterle, Science 285, 571 (1999). SCIEAS 0036-8075 10.1126/science.285.5427.571
F. Damanet, D. Braun, and J. Martin, Phys. Rev. A 93, 022124 (2016). 1050-2947 10.1103/PhysRevA.93.022124
B. A. Chase and J. M. Geremia, Phys. Rev. A 78, 052101 (2008). PLRAAN 1050-2947 10.1103/PhysRevA.78.052101
B. Q. Baragiola, B. A. Chase, and J. M. Geremia, Phys. Rev. A 81, 032104 (2010). PLRAAN 1050-2947 10.1103/PhysRevA.81.032104
C. J. Pethick and H. Smith, Bose-Einstein Condensation in Dilute Gases, 2nd ed. (Cambridge University Press, Cambridge, 2008).
L. D. Landau, E. M. Lifshitz, and L. Pitaevskii, Statistical Physics, 3rd ed. (Pergamon, Oxford, 1980), Vol. 5.
L. Novo, T. Moroder, and O. Gühne, Phys. Rev. A 88, 012305 (2013). PLRAAN 1050-2947 10.1103/PhysRevA.88.012305
G. M. D'Ariano, C. Macchiavello, and P. Perinotti, Phys. Rev. Lett. 95, 060503 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.95.060503
F. Buscemi, G. M. D'Ariano, C. Macchiavello, and P. Perinotti, Phys. Rev. A 74, 042309 (2006). PLRAAN 1050-2947 10.1103/PhysRevA.74.042309
D. Bacon, I. L. Chuang, and A. W. Harrow, Phys. Rev. Lett. 97, 170502 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.97.170502
L. Arnaud, Phys. Rev. A 93, 012320 (2016). 1050-2947 10.1103/PhysRevA.93.012320
M. Christandl, The structure of bipartite quantum states, Ph.D. thesis, University of Cambridge, 2006.
H.-P. Breuer and F. Petruccione, The Theory of Open Quantum Systems (Oxford University Press, Oxford, 2006).
L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University Press, Cambridge, 1995).
G. A. Prataviera and S. S. Mizrahi, Rev. Bras. Ensino Fís. 36, 4303 (2014).
R. I. Karasik, K.-P. Marzlin, B. C. Sanders, and K. B. Whaley, Phys. Rev. A 76, 012331 (2007) PLRAAN 1050-2947; 10.1103/PhysRevA.76.012331
R. I. Karasik, K.-P. Marzlin, B. C. Sanders, and K. B. Whaley, Phys. Rev. A 77, 052301 (2008). 10.1103/PhysRevA.77.052301
D. Braun, Dissipative Quantum Chaos and Decoherence, Springer Tracts in Modern Physics Vol. 172 (Springer, Berlin, 2001).
M. J. Stephen, J. Chem. Phys. 40, 669 (1964). JCPSA6 0021-9606 10.1063/1.1725188
R. H. Lehmberg, Phys. Rev. A 2, 889 (1970). 1050-2947 10.1103/PhysRevA.2.889
G. S. Agarwal, Quantum Statistical Theories of Spontaneous Emission and Their Relation to Other Approaches, Springer Tracts in Modern Physics Vol. 70 (Springer, Berlin, 1974), p. 1.
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