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We review recent developments in the theory of quantum dynamics in ultra-cold atomic physics, including exact techniques, but focusing on methods based on phase-space mappings that are appli- cable when the complexity becomes exponentially large.
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J. Frenkel, Wave Mechanics: Advanced General Theory , 1st ed. (Clarendon Press, Oxford, 1934) http://www.archive.org/details/wavemechanics030681mbp . Key:
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G. Milburn, Physical Review A 33
1986
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P. D. Drummond and S. J. Carter, J. Opt. Soc. Am. B 4
1987
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S. J. Carter, P. D. Drummond, M. D. Reid, and R. M. Shelby, Phys. Rev. Lett. 58
1987
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A. N. Tikhonov, A. S. Leonov, and A. G. Yagola, Nonlinear Ill-posed Problems (Chapman & Hall, London, 1990)
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S. J. Carter and P. D. Drummond, Phys. Rev. Lett. 67
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M. Rosenbluh and R. M. Shelby, Phys. Rev. Lett. 66
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P. D. Drummond, R. M. Shelby, S. R. Friberg, and Y. Yamamoto, Nature 365
1993
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P. D. Drummond and A. D. Hardman, EuroPhys. Lett. 21
1993
Earlier work this paper cites.
P. D. Drummond, R. M. Shelby, S. R. Friberg, and Y. Yamamoto, Nature 365
1993
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P. D. Drummond and A. D. Hardman, Europhysics Letters 21
1993
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D. J. Wineland, J. Bollinger, W. Itano, and D. Heinzen, Physical Review A 50
1994
Cited alongside, same era.
S. Datta, Electronic Transport in Mesoscopic Systems (Cambridge University Press, Cambridge, 1995) ISBN 0521599431, http://www.amazon.com/Electronic-Mesoscopic-Semiconductor-Microelectron%ic-Engineering/dp/0521599431/
1995
Cited alongside, same era.
M. J. Steel, M. K. Olsen, L. I. Plimak, P. D. Drummond, S. M. Tan, M. J. Collet, D. F. Walls, and R. Graham, Physical Review A 58
1998
Cited alongside, same era.
M. Steel, M. K. Olsen, L. I. Plimak, P. D. Drummond, S. Tan, M. J. Collett, D. Walls, and R. Graham, Physical Review A 58
1998
Cited alongside, same era.
H. J. Metcalf and P. van der Straten, Laser Cooling and Trapping (Springer, 1999) ISBN 0387987282, p. 339, http://www.amazon.com/Cooling-Trapping-Graduate-Contemporary-Physics/dp%/0387987282 . Key:
P. D. Drummond and P. Deuar, Journal of Optics B: Quantum and Semiclassical Optics 5
2003
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J. F. Corney and P. D. Drummond, Phys. Rev. A 68
2003
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M. Schellekens, R. Hoppeler, A. Perrin, J. V. Gomes, D. Boiron, A. Aspect, and C. I. Westbrook, Science (New York, N.Y.) 310
2005
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J. Heersink, V. Josse, G. Leuchs, and U. L. Andersen, Opt. Lett. 30
2005
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M. R. Dowling, P. D. Drummond, M. J. Davis, and P. Deuar, Phys. Rev. Lett. 94
2005
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J. F. Corney, P. D. Drummond, J. Heersink, V. Josse, G. Leuchs, and U. L. Andersen, Phys. Rev. Lett. 97
2006
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1999
Cited alongside, same era.
K. Cahill and R. Glauber, Physical Review A 59
1999
Cited alongside, same era.
K. E. Cahill and R. J. Glauber, Phys. Rev. A 59
1999
Cited alongside, same era.
D. Heinzen, R. Wynar, P. D. Drummond, and K. V. Kheruntsyan, Physical Review Letters 84
2000
Cited alongside, same era.
C. W. Gardiner and P. Zoller, Quantum Noise , 2nd ed. (Springer-Verlag, Berlin, 2000) ISBN 3-540-66571-4
2000
Cited alongside, same era.
A. Robert, O. Sirjean, A. Browaeys, J. Poupard, S. Nowak, D. Boiron, C. I. Westbrook, and A. Aspect, Science (New York, N.Y.) 292
2001
Cited alongside, same era.
P. D. Drummond and J. F. Corney, J. Opt. Soc. Am. B 18
2001
Cited alongside, same era.
A. Sørensen, L. M. Duan, J. I. Cirac, and P. Zoller, Nature 409
2001
Cited alongside, same era.
J. F. Corney and P. D. Drummond, Phys. Rev. B 73
2006
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P. Deuar and P. D. Drummond, Journal of Physics A 39
2006
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R. Dong, J. Heersink, J.-I. Yoshikawa, O. Glockl, U. L. Andersen, and G. Leuchs, New J. Phys. 9
2007
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P. Deuar and P. D. Drummond, Phys. Rev. Lett. 98
2007
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P. Deuar and P. Drummond, Physical Review Letters 98
2007
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T. Aimi and M. Imada, J. Phys. Soc. Jpn. 76
2007
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P. B. Blakie, A. S. Bradley, M. J. Davis, R. J. Ballagh, and C. W. Gardiner, Advances in Physics 57
2008
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O. Alon, A. Streltsov, and L. Cederbaum, Physical Review A 77
2008
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T. Fabcic, J. Main, and G. Wunner, The Journal of chemical physics 128
2008
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A. Kaufman, R. P. Anderson, T. Hanna, E. Tiesinga, P. Julienne, and D. Hall, Physical Review A 80
2009
Later among the works it cites.
Multidimensional Quantum Dynamics: MCTDH Theory and Applications , edited by H.-D. Meyer, F. Gatti, and G. A. Worth (Wiley-VCH, 2009) ISBN 3527320180, p. 442, http://www.amazon.com/Multidimensional-Quantum-Dynamics-Theory-Applicat%ions/dp/3527320180
2009
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T. J. Haigh, A. J. Ferris, and M. K. Olsen, Optics Communications 283
2010
Later among the works it cites.
V. Krachmalnicoff, J.-C. Jaskula, M. Bonneau, V. Leung, G. B. Partridge, D. Boiron, C. I. Westbrook, P. Deuar, P. Zin, M. Trippenbach, and K. Kheruntsyan, Phys. Rev. Lett. 104
2010
Later among the works it cites.
Q. Y. He, M. D. Reid, T. G. Vaughan, C. Gross, M. Oberthaler, and P. D. Drummond, Phys. Rev. Lett. 106
2011
Closest in time.
M. Egorov, R. P. Anderson, V. Ivannikov, B. Opanchuk, P. Drummond, B. V. Hall, and A. I. Sidorov, Phys. Rev. A 84
2011
Closest in time.
L. E. C. Rosales-Zárate and P. D. Drummond, Phys. Rev. A 84
2011
Closest in time.
D.-I. Choi and Q. Niu, Physical Review Letters 82
2022
Closest in time.