Artículo

Este artículo es de Acceso Abierto y puede ser descargado en su versión final desde nuestro repositorio
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

Abstract:

We study experimentally and theoretically the controlled transfer f harmonically trapped ultracold gases between different quantum states. n particular, we experimentally demonstrate a fast decompression anddisplacement of both a non-interacting gas and an interacting Bose-Einstein ondensate, which are initially at equilibrium. The decompression parameters re engineered such that the final state is identical to that obtained after a erfectly adiabatic transformation despite the fact that the fast decompression is erformed in the strongly non-adiabatic regime. During the transfer the atomic ample goes through strongly out-of-equilibrium states, while the external onfinement is modified until the system reaches the desired stationary state. The cheme is theoretically based on the invariants of motion and scaling equation echniques and can be generalized to decompression trajectories including an rbitrary deformation of the trap. It is also directly applicable to arbitrary initial on-equilibrium states. © IOP Publishing Ltd and Deutsche Physikalische Gesellschaft.

Registro:

Documento: Artículo
Título:Shortcuts to adiabaticity for trapped ultracold gases
Autor:Schaff, J.-F.; Capuzzi, P.; Labeyrie, G.; Vignolo, P.
Filiación:Université de Nice-Sophia Antipolis, Institut Non Liń Nice, CNRS, 361 route des Lucioles, F-06560 Valbonne, France
Universidad de Buenos Aires, FCEN, Ciudad Universitaria, Pab. I C1428EGA uenos Aires, Argentina
Palabras clave:Adiabatic transformation; Adiabaticity; Final state; Invariants of motion; Non-adiabatic; Out-of-equilibrium state; Quantum state; Scaling equations; Stationary state; Ultracold gas; Statistical mechanics; Equations of motion
Año:2011
Volumen:13
DOI: http://dx.doi.org/10.1088/1367-2630/13/11/113017
Título revista:New Journal of Physics
Título revista abreviado:New J. Phys.
ISSN:13672630
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_13672630_v13_n_p_Schaff.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13672630_v13_n_p_Schaff

Referencias:

  • Born, M., Fock, V., Beweis des adiabatensatzes (1928) Z. Phys., 51, pp. 165-180
  • Kato, T., On the adiabatic theorem of quantum mechanics (1950) J. Phys. Soc. Japan, 5, pp. 435-439
  • Comparat, D., General conditions for quantum adiabatic evolution (2009) Phys. Rev. A, 80, p. 012106
  • Cohen-Tannoudji, C., Dupont-Roc, J., Grynberg, G., (1992) Atom-Photon Interactions: Basic Processes and Pplications, , New York: Wiley
  • Parkins, A.S., Marte, P., Zoller, P., Kimble, H.J., Synthesis of arbitrary quantum states via adiabatic ransfer of Zeeman coherence (1993) Phys. Rev. Lett., 71, pp. 3095-3098
  • Cirac, J.I., Blatt, R., Zoller, P., Nonclassical states of motion in a three-dimensional ion trap by adiabatic assage (1994) Phys. Rev. A, 49, pp. R3174-R3177
  • Sørensen, A.S., Altman, E., Gullans, M., Porto, J.V., Lukin, M.D., Demler, E., Adiabatic preparation of many-body states in optical lattices (2010) Phys. Rev. A, 81, p. 061603
  • Peng, X., Liao, Z., Xu, N., Qin, G., Zhou, X., Suter, D., Du, J., Quantum adiabatic algorithm for factorization nd its experimental implementation (2008) Phys. Rev. Lett., 101, p. 220405
  • Hohenester, U., Kristian Rekdal, P., Boŕz, A., Schmiedmayer, J., Optimal quantum control of ose-Einstein condensates in magnetic microtraps (2007) Phys. Rev. A, 75, p. 023602
  • De Chiara, G., Calarco, T., Anderlini, M., Montangero, S., Lee, P., Brown, B., Phillips, W., Porto, J., Optimal ontrol of atom transport for quantum gates in optical lattices (2008) Phys. Rev. A, 77, p. 052333
  • Vasilev, G., Kuhn, A., Vitanov, N., Optimum pulse shapes for stimulated raman adiabatic passage (2009) Phys. Rev. A, 80, p. 013417
  • Mundt, M., Tannor, D.J., Optimal control of interacting particles: A multi-configuration time-dependent Hartree-Fock approach (2009) New J. Phys., 11, p. 105038
  • Berry, M.V., Transitionless quantum driving (2009) J. Phys. A: Math. Theor., 42, p. 365303
  • Chen, X., Ruschhaupt, A., Schmidt, S., Del Campo, A., Guéry-Odelin, D., Muga, J.G., Fast optimal rictionless atom cooling in harmonic traps: Shortcut to adiabaticity (2010) Phys. Rev. Lett., 104, p. 063002
  • Lewis Jr., H.R., Riesenfeld, W.B., An exact quantum theory of the time-dependent harmonic oscillator nd of a charged particle in a time-dependent electromagnetic field (1969) J. Math. Phys., 10, pp. 1458-1473
  • Kagan, Yu., Surkov, E.L., Shlyapnikov, G.V., Evolution of a Bose-condensed gas under variations of the confining potential (1996) Physical Review A - Atomic, Molecular, and Optical Physics, 54 (3), pp. R1753-R1756
  • Castin, Y., Dum, R., Bose-Einstein condensates in time dependent traps (1996) Phys. Rev. Lett., 77, pp. 5315-5319
  • Kagan, Yu., Surkov, E.L., Shlyapnikov, G.V., Evolution of a Bose gas in anisotropic time-dependent traps (1997) Physical Review A - Atomic, Molecular, and Optical Physics, 55 (1), pp. R18-R21
  • Pethick, C.J., Smith, H., (2002) Bose-Einstein Condensation in Dilute Gases, , Cambridge: Cambridge University Press
  • Muga, J.G., Chen, X., Ruschhaupt, A., Guéry-Odelin, D., Frictionless dynamics of Bose-Einstein ondensates under fast trap variations (2009) J. Phys. B: At. Mol. Opt. Phys., 42, p. 241001
  • Schaff, J.-F., Song, X.-L., Vignolo, P., Labeyrie, G., Fast optimal transition between two equilibrium states (2010) Phys. Rev. A, 82, p. 033430
  • Schaff, J.-F., Song, X.-L., Capuzzi, P., Vignolo, P., Labeyrie, G., Shortcut to adiabaticity for an interacting ose-Einstein condensate (2011) Europhys. Lett., 93, p. 23001
  • Esslinger, T., Bloch, I., Ḧ, T.W., Bose-Einstein condensation in a quadrupole-Ioffe-configuration rap (1998) Phys. Rev. A, 58, pp. R2664-R2667
  • Thomas, N.R., Wilson, A.C., Foot, C.J., Double-well magnetic trap for Bose-Einstein condensates (2002) Phys.Rev. A, 65, p. 063406
  • Mewes, M.-O., Andrews, M.R., Van Druten, N.J., Kurn, D.M., Durfee, D.S., Townsend, C.G., Ketterle, W., Collective excitations of a bose-einstein condensate in a magnetic trap (1996) Physical Review Letters, 77 (6), pp. 988-991
  • Chevy, F., Bretin, V., Rosenbusch, P., Madison, K.W., Dalibard, J., Transverse breathing mode of an longated Bose-Einstein condensate (2002) Phys. Rev. Lett., 88, p. 250402
  • Dalfovo, F., Giorgini, S., Pitaevskii, L.P., Stringari, S., Theory of Bose-Einstein condensation in trapped gases (1999) Reviews of Modern Physics, 71 (3), pp. 463-512
  • Guery-Odelin, D., Stringari, S., Scissors Mode and Superfluidity of a Trapped Bose-Einstein Condensed Gas (1999) Physical Review Letters, 83 (22), pp. 4452-4455
  • Maraǵo, M., Hopkins, S.A., Arlt, J., Hodby, E., Hechenblaikner, G., Foot, C.J., Observation of the scissors ode and evidence for superfluidity of a trapped Bose-Einstein condensed gas (2000) Phys. Rev. Lett., 84, pp. 2056-2059
  • Edwards, M., Clark, C.W., Pedri, P., Pitaevskii, L., Stringari, S., Consequence of superfluidity on the xpansion of a rotating Bose-Einstein condensate (2002) Phys. Rev. Lett., 88, p. 070405
  • Modugno, M., Modugno, G., Roati, G., Fort, C., Inguscio, M., Scissors mode of an expanding ose-Einstein condensate (2003) Phys. Rev. A, 67, p. 023608
  • Madison, K.W., Chevy, F., Wohlleben, W., Dalibard, J., Vortex formation in a stirred Bose-Einstein ondensate (2000) Phys. Rev. Lett., 84, pp. 806-809
  • Recati, A., Zambelli, F., Stringari, S., Overcritical rotation of a trapped Bose-Einstein condensate (2001) Physical Review Letters, 86 (3), pp. 377-380. , DOI 10.1103/PhysRevLett.86.377
  • Hu, H., Minguzzi, A., Liu, X.-J., Tosi, M.P., Collective modes and ballistic expansion of a Fermi gas in he BCS-BEC crossover (2004) Phys. Rev. Lett., 93, p. 190403
  • Press, W.H., Teukolsky, S.A., Vetterling, W.T., Flannery, B.P., (1992) Numerical Recipes in Fortran 77: The Art F Scientific Computing, , http://www.nr.com, Cambridge: Cambridge University Press

Citas:

---------- APA ----------
Schaff, J.-F., Capuzzi, P., Labeyrie, G. & Vignolo, P. (2011) . Shortcuts to adiabaticity for trapped ultracold gases. New Journal of Physics, 13.
http://dx.doi.org/10.1088/1367-2630/13/11/113017
---------- CHICAGO ----------
Schaff, J.-F., Capuzzi, P., Labeyrie, G., Vignolo, P. "Shortcuts to adiabaticity for trapped ultracold gases" . New Journal of Physics 13 (2011).
http://dx.doi.org/10.1088/1367-2630/13/11/113017
---------- MLA ----------
Schaff, J.-F., Capuzzi, P., Labeyrie, G., Vignolo, P. "Shortcuts to adiabaticity for trapped ultracold gases" . New Journal of Physics, vol. 13, 2011.
http://dx.doi.org/10.1088/1367-2630/13/11/113017
---------- VANCOUVER ----------
Schaff, J.-F., Capuzzi, P., Labeyrie, G., Vignolo, P. Shortcuts to adiabaticity for trapped ultracold gases. New J. Phys. 2011;13.
http://dx.doi.org/10.1088/1367-2630/13/11/113017