Describing many-body bosonic waveguide scattering with the truncated Wigner method

[en] We consider quasi-stationary scattering of interacting bosonic matter waves in one-dimensional waveguides, as they arise in guided atom lasers. We show how the truncated Wigner (tW) method, which corresponds to the semiclassical description of the bosonic many-body system on the level of the diagonal approximation, can be utilized in order to describe such many-body bosonic scattering processes. Special emphasis is put on the discretization of space at the exact quantum level, in order to properly implement the semiclassical approximation and the tW method, as well as on the discussion of the results to be obtained in the continuous limit.

Disciplines :

Physics

Author, co-author :

Dujardin, Julien ; Université de Liège > Département de physique > Physique quantique statistique

Engl, Thomas

Urbina, Juan Diego

Schlagheck, Peter ; Université de Liège > Département de physique > Physique quantique statistique

Language :

English

Title :

Describing many-body bosonic waveguide scattering with the truncated Wigner method

Publication date :

October 2015

Journal title :

Annalen der Physik

ISSN :

0003-3804

eISSN :

1521-3889

Publisher :

Wiley, Weinheim, Germany

Special issue title :

Complex quantum systems

Volume :

527

Pages :

629

Peer reviewed :

Peer Reviewed verified by ORBi

Tags :

CÉCI : Consortium des Équipements de Calcul Intensif

Funders :

CÉCI - Consortium des Équipements de Calcul Intensif [BE]

Available on ORBi :

since 14 January 2016

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Bibliography

A. Micheli, A. J. Daley, D. Jaksch, and, P. Zoller, Phys. Rev. Lett. 93, 140408 (2004).
B. T. Seaman, M. Krämer, D. Z. Anderson, and, M. J. Holland, Phys. Rev. A 75, 023615 (2007).
R. A. Pepino, J. Cooper, D. Z. Anderson, and, M. J. Holland, Phys. Rev. Lett. 103, 140405 (2009).
J. P. Brantut, J. Meineke, D. Stadler, S. Krinner, and, T. Esslinger, Science 337, 1069 (2012).
J. P. Brantut, C. Grenier, J. Meineke, D. Stadler, S. Krinner, C. Kollath, T. Esslinger, and, A. Georges, Science 342, 713 (2013).
M. Bruderer, and, W. Belzig, Phys. Rev. A 85, 013623 (2012).
L. H. Kristinsdõttir, O. Karlström, J. Bjerlin, J. C. Cremon, P. Schlagheck, A. Wacker, and, S. M. Reimann, Phys. Rev. Lett. 110, 085303 (2013).
D. B. Gutman, Y. Gefen, and, A. D. Mirlin, Phys. Rev. B 85, 125102 (2012).
A. Ivanov, G. Kordas, A. Komnik, and, S. Wimberger, Eur. Phys. J. B 86, 345 (2013).
W. Guerin, J. F. Riou, J. P. Gaebler, V. Josse, P. Bouyer, and, A. Aspect, Phys. Rev. Lett. 97, 200402 (2006).
A. Couvert, M. Jeppesen, T. Kawalec, G. Reinaudi, R. Mathevet, and, D. Guéry-Odelin, EPL 83, 50001 (2008).
G. L. Gattobigio, A. Couvert, B. Georgeot, and, D. Guéry-Odelin, Phys. Rev. Lett. 107, 254104 (2011).
P. Leboeuf, and, N. Pavloff, Phys. Rev. A 64, 033602 (2001).
I. Carusotto, Phys. Rev. A 63, 023610 (2001).
T. Paul, K. Richter, and, P. Schlagheck, Phys. Rev. Lett. 94, 020404 (2005).
T. Paul, P. Leboeuf, N. Pavloff, K. Richter, and, P. Schlagheck, Phys. Rev. A 72, 063621 (2005).
T. Paul, M. Hartung, K. Richter, and, P. Schlagheck, Phys. Rev. A 76, 063605 (2007).
E. H. Lieb, R. Seiringer, and, J. Yngvason, Phys. Rev. A 61, 043602 (2000).
T. Ernst, T. Paul, and, P. Schlagheck, Phys. Rev. A 81, 013631 (2010).
C. Gardiner, and, P. Zoller, Quantum Noise, 3rd edition (Springer, Berlin, 2004).
M. J. Steel, M. K. Olsen, L. I. Plimak, P. D. Drummond, S. M. Tan, M. J. Collett, D. F. Walls, and, R. Graham, Phys. Rev. A 58, 4824 (1998).
A. Sinatra, C. Lobo, and, Y. Castin, J. Phys. B: At. Mol. Opt. Phys. 35, 3599 (2002).
A. Polkovnikov, Ann. Phys. 325, 1790 (2010).
J. Dujardin, A. Argüelles, and, P. Schlagheck, Phys. Rev. A 91, 033614 (2015).
B. Opanchuk, and, P. D. Drummond, J. Math. Phys. 54, 042107 (2013).
M. C. Gutzwiller, Chaos in Classical and Quantum Mechanics (Springer, New York, 1990).
T. Engl, J. Dujardin, A. Argüelles, P. Schlagheck, K. Richter, and, J. D. Urbina, Phys. Rev. Lett. 112, 140403 (2014).
A. Polkovnikov, Phys. Rev. A 68, 053604 (2003).
A. Kamenev, Field Theory of Non-Equilibrium Systems (Cambridge University Press, Cambridge, 2011).
M. Olshanii, Phys. Rev. Lett. 81, 938 (1998).
L. Simon, and, W. T. Strunz, Phys. Rev. A 89, 052112 (2014).
T. Engl, J. D. Urbina, and, K. Richter, arXiv:1409.5684 (2014).
J. Dujardin, A. Saenz, and, P. Schlagheck, Appl. Phys. B 117, 765 (2014).
A. Vardi, and, J. R. Anglin, Phys. Rev. Lett. 86, 568 (2001).
I. Tikhonenkov, J. R. Anglin, and, A. Vardi, Phys. Rev. A 75, 013613 (2007).
S. R. White, Phys. Rev. Lett. 69, 2863 (1992).
G. Vidal, Phys. Rev. Lett. 91, 147902 (2003).
G. Vidal, Phys. Rev. Lett. 93, 040502 (2004).
F. Verstraete, D. Porras, and, J. I. Cirac, Phys. Rev. Lett. 93, 227205 (2004).
A. J. Daley, C. Kollath, U. Schollwöck, and, G. Vidal, J. Stat. Mech., P04005 (2004).
J. Zakrzewski, Phys. Rev. A 71, 043601 (2005).