E. Schrödinger, Naturwissenschaften 23, 823 (1935) NATWAY 0028-1042 10.1007/BF01491914.
C. Song, Phys. Rev. Lett. 119, 180511 (2018) 10.1103/PhysRevLett.119.180511.
I. Afek, O. Ambar, and Y. Silberberg, Science 328, 879 (2010) SCIEAS 0036-8075 10.1126/science.1188172.
J. Zhang, M. Um, D. Lv, J.-N. Zhang, L.-M. Duan, and K. Kim, Phys. Rev. Lett. 121, 160502 (2018) PRLTAO 0031-9007 10.1103/PhysRevLett.121.160502.
J. I. Cirac, M. Lewenstein, K. Mølmer, and P. Zoller, Phys. Rev. A 57, 1208 (1998) PLRAAN 1050-2947 10.1103/PhysRevA.57.1208.
A. Sørensen, L.-M. Duan, J. I. Cirac, and P. Zoller, Nature (London) 409, 63 (2001) NATUAS 0028-0836 10.1038/35051038.
D. Gordon and C. M. Savage, Phys. Rev. A 59, 4623 (1999) PLRAAN 1050-2947 10.1103/PhysRevA.59.4623.
J. A. Dunningham and K. Burnett, J. Mod. Opt. 48, 1837 (2001) 10.1080/09500340108240890.
A. Micheli, D. Jaksch, J. I. Cirac, and P. Zoller, Phys. Rev. A 67, 013607 (2003) PLRAAN 1050-2947 10.1103/PhysRevA.67.013607.
K. W. Mahmud, H. Perry, and W. P. Reinhardt, J. Phys. B 36, L265 (2003) JPAPEH 0953-4075 10.1088/0953-4075/36/17/102.
K. W. Mahmud, H. Perry, and W. P. Reinhardt, Phys. Rev. A 71, 023615 (2005) PLRAAN 1050-2947 10.1103/PhysRevA.71.023615.
T. Zibold, E. Nicklas, C. Gross, and M. K. Oberthaler, Phys. Rev. Lett. 105, 204101 (2010) PRLTAO 0031-9007 10.1103/PhysRevLett.105.204101.
J. Ruostekoski, M. J. Collett, R. Graham, and D. F. Walls, Phys. Rev. A 57, 511 (1998) PLRAAN 1050-2947 10.1103/PhysRevA.57.511.
I. Mazets, G. Kurizki, M. Oberthaler, and J. Schmiedmayer, Europhys. Lett. 83, 60004 (2008) EULEEJ 0295-5075 10.1209/0295-5075/83/60004.
H. Cable, F. Laloë, and W. J. Mullin, Phys. Rev. A 83, 053626 (2011) PLRAAN 1050-2947 10.1103/PhysRevA.83.053626.
A. A. Bychek, D. N. Maksimov, and A. R. Kolovsky, Phys. Rev. A 97, 063624 (2018) 2469-9926 10.1103/PhysRevA.97.063624.
N. Teichmann and C. Weiss, Europhys. Lett. 78, 10009 (2007) EULEEJ 0295-5075 10.1209/0295-5075/78/10009.
C. Weiss and Y. Castin, Phys. Rev. Lett. 102, 010403 (2009) PRLTAO 0031-9007 10.1103/PhysRevLett.102.010403.
A. I. Streltsov, O. E. Alon, and L. S. Cederbaum, Phys. Rev. A 80, 043616 (2009) PLRAAN 1050-2947 10.1103/PhysRevA.80.043616.
L. D. Carr, D. R. Dounas-Frazer, and M. A. Garcia-March, Europhys. Lett. 90, 10005 (2010) EULEEJ 0295-5075 10.1209/0295-5075/90/10005.
A. Smerzi, S. Fantoni, S. Giovanazzi, and S. R. Shenoy, Phys. Rev. Lett. 79, 4950 (1997) PRLTAO 0031-9007 10.1103/PhysRevLett.79.4950.
G. J. Milburn, J. Corney, E. M. Wright, and D. F. Walls, Phys. Rev. A 55, 4318 (1997) PLRAAN 1050-2947 10.1103/PhysRevA.55.4318.
M. J. Steel and M. J. Collett, Phys. Rev. A 57, 2920 (1998) PLRAAN 1050-2947 10.1103/PhysRevA.57.2920.
R. W. Spekkens and J. E. Sipe, Phys. Rev. A 59, 3868 (1999) PLRAAN 1050-2947 10.1103/PhysRevA.59.3868.
E. A. Ostrovskaya, Y. S. Kivshar, M. Lisak, B. Hall, F. Cattani, and D. Anderson, Phys. Rev. A 61, 031601 (R) (2000) PLRAAN 1050-2947 10.1103/PhysRevA.61.031601.
A. J. Leggett, Rev. Mod. Phys. 73, 307 (2001) RMPHAT 0034-6861 10.1103/RevModPhys.73.307.
M. Albiez, R. Gati, J. Fölling, S. Hunsmann, M. Cristiani, and M. K. Oberthaler, Phys. Rev. Lett. 95, 010402 (2005) PRLTAO 0031-9007 10.1103/PhysRevLett.95.010402.
D. Ananikian and T. Bergeman, Phys. Rev. A 73, 013604 (2006) PLRAAN 1050-2947 10.1103/PhysRevA.73.013604.
L. B. Fu and J. Liu, Phys. Rev. A 74, 063614 (2006) PLRAAN 1050-2947 10.1103/PhysRevA.74.063614.
B. Juliá-Díaz, D. Dagnino, M. Lewenstein, J. Martorell, and A. Polls, Phys. Rev. A 81, 023615 (2010) PLRAAN 1050-2947 10.1103/PhysRevA.81.023615.
A. N. Salgueiro, A. F. R. de Toledo Piza, G. B. Lemos, R. Drumond, M. C. Nemes, and M. Weidemüller, Eur. Phys. J. D 44, 537 (2007) EPJDF6 1434-6060 10.1140/epjd/e2007-00224-4.
G. Watanabe, Phys. Rev. A 81, 021604 (R) (2010) PLRAAN 1050-2947 10.1103/PhysRevA.81.021604.
G. Watanabe and H. Mäkelä, Phys. Rev. A 85, 053624 (2012) PLRAAN 1050-2947 10.1103/PhysRevA.85.053624.
W. A. Lin and L. E. Ballentine, Phys. Rev. Lett. 65, 2927 (1990) PRLTAO 0031-9007 10.1103/PhysRevLett.65.2927.
O. Bohigas, D. Boosé, R. Egydio de Carvalho, and V. Marvulle, Nucl. Phys. A 560, 197 (1993) NUPABL 0375-9474 10.1016/0375-9474(93)90092-C.
O. Bohigas, S. Tomsovic, and D. Ullmo, Phys. Rep. 223, 43 (1993) PRPLCM 0370-1573 10.1016/0370-1573(93)90109-Q.
S. Tomsovic and D. Ullmo, Phys. Rev. E 50, 145 (1994) 1063-651X 10.1103/PhysRevE.50.145.
F. Leyvraz and D. Ullmo, J. Phys. A: Math. Gen. 29, 2529 (1996) JPHAC5 0305-4470 10.1088/0305-4470/29/10/030.
O. Brodier, P. Schlagheck, and D. Ullmo, Phys. Rev. Lett. 87, 064101 (2001) PRLTAO 0031-9007 10.1103/PhysRevLett.87.064101.
O. Brodier, P. Schlagheck, and D. Ullmo, Ann. Phys. (NY) 300, 88 (2002) APNYA6 0003-4916 10.1006/aphy.2002.6281.
C. Eltschka and P. Schlagheck, Phys. Rev. Lett. 94, 014101 (2005) PRLTAO 0031-9007 10.1103/PhysRevLett.94.014101.
P. Schlagheck, C. Eltschka, and D. Ullmo, in Progress in Ultrafast Intense Laser Science I, edited by K. Yamanouchi, S. L. Chin, P. Agostini, and G. Ferrante (Springer, Berlin, 2006), pp. 107-131.
A. Mouchet, C. Eltschka, and P. Schlagheck, Phys. Rev. E 74, 026211 (2006) PLEEE8 1539-3755 10.1103/PhysRevE.74.026211.
S. Löck, A. Bäcker, R. Ketzmerick, and P. Schlagheck, Phys. Rev. Lett. 104, 114101 (2010) PRLTAO 0031-9007 10.1103/PhysRevLett.104.114101.
P. Schlagheck, A. Mouchet, and D. Ullmo, in Dynamical Tunneling: Theory and Experiment, edited by S. Keshavamurthy and P. Schlagheck (CRC, Boca Raton, 2011).
S. Fölling, S. Trotzky, P. Cheinet, M. Feld, R. Saers, A. Widera, T. Müller, and I. Bloch, Nature (London) 448, 1029 (2007) NATUAS 0028-0836 10.1038/nature06112.
B. Dalton and S. Ghanbari, J. Mod. Opt. 59, 287 (2012) JMOPEW 0950-0340 10.1080/09500340.2011.632100.
I. Zapata, F. Sols, and A. J. Leggett, Phys. Rev. A 57, R28 (1998) PLRAAN 1050-2947 10.1103/PhysRevA.57.R28.
S. Levy, E. Lahoud, I. Shomroni, and J. Steinhauer, Nature (London) 449, 579 (2007) NATUAS 0028-0836 10.1038/nature06186.
H. K. Andersen, Bose-Einstein condensates in optical lattices, Ph.D. thesis, University of Aarhus, 2008.
N. Mertig, J. Kullig, C. Löbner, A. Bäcker, and R. Ketzmerick, Phys. Rev. E 94, 062220 (2016) 2470-0045 10.1103/PhysRevE.94.062220.
F. Fritzsch, A. Bäcker, R. Ketzmerick, and N. Mertig, Phys. Rev. E 95, 020202 (R) (2017) 2470-0045 10.1103/PhysRevE.95.020202.
A. Eckardt, C. Weiss, and M. Holthaus, Phys. Rev. Lett. 95, 260404 (2005) PRLTAO 0031-9007 10.1103/PhysRevLett.95.260404.
M. Tabor, Chaos and Integrability in Nonlinear Dynamics: An Introduction (Wiley, New York, 1989).
A. J. Lichtenberg and M. A. Lieberman, Regular and Chaotic Dynamics, Applied Mathematical Sciences Vol. 38 (Springer Science + Business Media, New York, 2013).
S. Wimberger, Nonlinear Dynamics and Quantum Chaos: An Introduction (Springer, Cham, 2014).
M. A. García-March, D. R. Dounas-Frazer, and L. D. Carr, Phys. Rev. A 83, 043612 (2011) PLRAAN 1050-2947 10.1103/PhysRevA.83.043612.
M. A. Garcia-March, D. R. Dounas-Frazer, and L. D. Carr, Front. Phys. 7, 131 (2012) 2095-0462 10.1007/s11467-011-0236-6.
J. Gillet, M. A. Garcia-March, T. Busch, and F. Sols, Phys. Rev. A 89, 023614 (2014) PLRAAN 1050-2947 10.1103/PhysRevA.89.023614.
M. Firmbach, F. Fritzsch, R. Ketzmerick, and A. Bäcker, Phys. Rev. E 99, 042213 (2019) 2470-0045 10.1103/PhysRevE.99.042213.
K. Sacha, Phys. Rev. A 91, 033617 (2015) PLRAAN 1050-2947 10.1103/PhysRevA.91.033617.
Y. Shin, G.-B. Jo, M. Saba, T. A. Pasquini, W. Ketterle, and D. E. Pritchard, Phys. Rev. Lett. 95, 170402 (2005) PRLTAO 0031-9007 10.1103/PhysRevLett.95.170402.
I. Bloch, J. Dalibard, and W. Zwerger, Rev. Mod. Phys. 80, 885 (2008) RMPHAT 0034-6861 10.1103/RevModPhys.80.885.
A. Garg, Am. J. Phys. 68, 430 (2000) AJPIAS 0002-9505 10.1119/1.19458.
A. Mouchet, Effet tunnel chaotique-Méthode différentielle, HDR thesis, Université François Rabelais de Tours, 2006.