Abstract
We study the interplay of disorder, interactions, and decoherence induced by spontaneous emission process. Interactions are introduced in the Anderson model via a mean-field approximation, and a simple model allows us to take into account spontaneous emission effects. Numerical simulations in different dynamical regimes and physical pictures for the mechanisms at play are discussed. We demonstrated the existence of scaling laws on the width of the initial state.
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References
P.W. Anderson, Phys. Rev. 109, 1492 (1958)
D.S. Wiersma, P. Bartolini, A. Lagendijk, R. Righini, Nature (London) 390, 671 (1997)
M. Störzer, P. Gross, C.M. Aegerter, G. Maret, Phys. Rev. Lett. 96, 063904 (2006)
Y. Lahini, R. Pugatch, F. Pozzi, M. Sorel, R. Morandotti, N. Davidson, Y. Silberberg, Phys. Rev. Lett. 103, 013901 (2009)
H. Hu, A. Strybulevych, J.H. Page, S.E. Skipetrov, B.A. van Tiggelen, Nat. Phys. 4, 945 (2008)
F.L. Moore, J.C. Robinson, C.F. Bharucha, B. Sundaram, M.G. Raizen, Phys. Rev. Lett. 75, 4598 (1995)
H. Lignier, J. Chabé, D. Delande, J.C. Garreau, P. Szriftgiser, Phys. Rev. Lett. 95, 234101 (2005)
J. Chabé, H. Lignier, H. Cavalcante, D. Delande, P. Szriftgiser, J.C. Garreau, Phys. Rev. Lett. 97, 264101 (2006)
G. Casati, I. Guarneri, D.L. Shepelyansky, Phys. Rev. Lett. 62, 345 (1989)
J. Chabé, G. Lemarié, B. Grémaud, D. Delande, P. Szriftgiser, J.C. Garreau, Phys. Rev. Lett. 101, 255702 (2008)
G. Lemarié, H. Lignier, D. Delande, P. Szriftgiser, J.C. Garreau, Phys. Rev. Lett. 105, 090601 (2010)
M. Lopez, J.-F. Clément, P. Szriftgiser, J.C. Garreau, D. Delande, Phys. Rev. Lett. 108, 095701 (2012)
G. Lemarié, J. Chabé, P. Szriftgiser, J.C. Garreau, B. Grémaud, D. Delande, Phys. Rev. A 80, 043626 (2009)
J. Billy, V. Josse, Z. Zuo, A. Bernard, B. Hambrecht, P. Lugan, D. Clément, L. Sanchez-Palencia, P. Bouyer, A. Aspect, Nature (London) 453, 891 (2008)
G. Roati, C. d’Errico, L. Fallani, M. Fattori, C. Fort, M. Zaccanti, G. Modugno, M. Modugno, M. Inguscio, Nature (London) 453, 895 (2008)
S.S. Kondov, W.R. McGehee, J.J. Zirbel, B. DeMarco, Science 334, 66 (2011)
F. Jendrzejewski, A. Bernard, K. Muller, P. Cheinet, V. Josse, M. Piraud, L. Pezze, L. Sanchez-Palencia, A. Aspect, P. Bouyer, Nat. Phys. 8, 398 (2012)
C. Chin, R. Grimm, P. Julienne, E. Tiesinga, Rev. Mod. Phys. 82, 1225 (2010)
A.S. Pikovsky, D.L. Shepelyansky, Phys. Rev. Lett. 100, 094101 (2008)
T.V. Laptyeva, J.D. Bodyfelt, D.O. Krimer, C. Skokos, S. Flach, EPL (Europhysics Letters) 91, 30001 (2010)
E. Lucioni, B. Deissler, L. Tanzi, G. Roati, M. Zaccanti, M. Modugno, M. Larcher, F. Dalfovo, M. Inguscio, G. Modugno, Phys. Rev. Lett. 106, 230403 (2011)
Y. Lahini, A. Avidan, F. Pozzi, M. Sorel, R. Morandotti, D.N. Christodoulides, Y. Silberberg, Phys. Rev. Lett. 100, 013906 (2008)
C. Cohen-Tannoudji, D. Guéry-Odelin, Advances In Atomic Physics: An Overview (World Scientific Publishing, 2011)
F. Dalfovo, S. Giorgini, L. Pitaevskii, S. Stringari, Rev. Mod. Phys. 71, 463 (1999)
Q. Thommen, J.C. Garreau, V. Zehnlé, Phys. Rev. Lett. 91, 210405 (2003)
B. Vermersch, J.C. Garreau, Phys. Rev. E 85, 046213 (2012)
N.W. Ashcroft, N.D. Mermin, Solid State Physics (Saunders College Publishing, Fort Worth, USA, 1976)
M. Olshanii, Phys. Rev. Lett. 81, 938 (1998)
D.S. Petrov, D.M. Gangardt, G.V. Shlyapnikov, J. Phys. IV (France) 116, 5 (2004)
A. Trombettoni, A. Smerzi, Phys. Rev. Lett. 86, 2353 (2001)
M. Larcher, F. Dalfovo, M. Modugno, Phys. Rev. A 80, 053606 (2009)
G. Kopidakis, S. Komineas, S. Flach, S. Aubry, Phys. Rev. Lett. 100, 084103 (2008)
S. Flach, D.O. Krimer, C. Skokos, Phys. Rev. Lett. 102, 024101 (2009)
A. Pikovsky, S. Fishman, Phys. Rev. E 83, 025201 (2011)
D.A. Steck, Quantum chaos, transport and decoherence in atom optics, Ph.D. thesis, University of Texas at Austin, Austin, Texas, USA, 2001
D. Cohen, Phys. Rev. A 44, 2292 (1991)
M. Lepers, V. Zehnlé, J.C. Garreau, Phys. Rev. A 81, 062132 (2010)
J.M. Luck, Systèmes désordonnés unidimensionnels (Aléa Sacaly, Gif-sur-Yvette, France, 1992)
M.B. Isichenko, Rev. Mod. Phys. 64, 961 (1992)
Y. Imry, Introduction to mesoscopic physics, 2nd edn. (Oxford University Press, 2009)
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Vermersch, B., Garreau, J.C. Decoherence effects in the dynamics of interacting ultracold bosons in disordered lattices. Eur. Phys. J. Spec. Top. 217, 109–119 (2013). https://doi.org/10.1140/epjst/e2013-01760-0
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DOI: https://doi.org/10.1140/epjst/e2013-01760-0