Extracting Information from Non Adiabatic Dynamics: Excited Symmetric States of the Bose-Hubbard Model

• Authors: M. Łącki , D. Delande , J. Zakrzewski
• Languages of publication: EN

Abstracts

EN

Using Fourier transform on a time series generated by unitary evolution, we extract many-body eigenstates of the Bose-Hubbard model corresponding to low energy excitations, which are generated when the insulator-superfluid phase transition is realised in a typical experiment. The analysis is conducted in a symmetric external potential both without and with a disorder. A simple classification of excitations in the absence disorder is provided. The evolution is performed assuming the presence of the parity symmetry in the system rendering many-body quantum states either symmetric or antisymmetric. Using symmetry-breaking technique, those states are decomposed into elementary one-particle processes.

Keywords

EN

67.85.Hj; 03.75.Kk; 03.75.Lm

Discipline

• 03.75.Kk: Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow
• 03.75.Lm: Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations(see also 74.50.+r Tunneling phenomena; Josephson effects in superconductivity)
• 67.85.Hj: Bose-Einstein condensates in optical potentials

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2011
• Volume: 120
• Issue: 6A
• Pages: A-178-A-184

Dates

published

2011-12

Contributors

author

M. Łącki

• Instytut Fizyki Mariana Smoluchowskiego, Uniwersytet Jagielloński, W.S. Reymonta 4, 30-059 Kraków, Poland
• Laboratoire Kastler-Brossel, UPMC, ENS, CNRS, 4 Place Jussieu, F-75005 Paris, France

author

D. Delande

• Laboratoire Kastler-Brossel, UPMC, ENS, CNRS, 4 Place Jussieu, F-75005 Paris, France

author

J. Zakrzewski

• Instytut Fizyki Mariana Smoluchowskiego, Uniwersytet Jagielloński, W.S. Reymonta 4, 30-059 Kraków, Poland
• Mark Kac Complex Systems Research Center, Uniwersytet Jagielloński, 30-059 Kraków, Poland

References

• [1] D. Jaksch, C. Bruder, J.I. Cirac, C.W. Gardiner, P. Zoller, Phys. Rev. Lett. 81, 3108 (1998)
• [2] M. Greiner, O. Mandel, T.W. Hänsch, I. Bloch, Nature 415, 39 (2002)
• [3] J.D. Jackson, Am. J. Phys. 76, 8 (2008)
• [4] H.A. Gersch, G.C. Knollman, Phys. Rev. 129, 959 (1963)
• [5] Ph. Courteille, R.S. Freeland, D.J. Heinzen, Phys. Rev. Lett. 81, 69 (1998)
• [6] F.K. Fatemi, K.M. Jones, P.D. Lett, Phys. Rev. Lett. 85, 4462 (2000)
• [7] D.J. Papoular, G.V. Shlyapnikov, J. Dalibard, Phys. Rev. A 81, 041603 (2010)
• [8] M.P.A. Fisher, P.B. Weichman, G. Grinstein, D.S. Fisher, Phys. Rev. B 40, 546 (1989)
• [9] L. Fallani, J.E. Lye, V. Guarrera, C. Fort, M. Inguscio, Phys. Rev. Lett. 98, 130404 (2007)
• [10] T. Roscilde, Phys. Rev. A 77, 063605 (2008)
• [11] X. Deng, R. Citro, A. Minguzzi, E. Orignac, Phys. Rev. A 78, 013625 (2008)
• [12] T.W.B. Kibble, J. Phys. A 9, 1387 (1976)
• [13] W.H. Zurek, Nature 317, 505 (1985)
• [14] J. Dziarmaga, A. Smerzi, W.H. Zurek, A.R. Bishop, Phys. Rev. Lett. 88, 167001 (2002)
• [15] W.H. Zurek, U. Dorner, P. Zoller, Phys. Rev. Lett. 95, 105701 (2005)
• [16] A. Polkovnikov, Phys. Rev. B 72, 161201 (2005)
• [17] J. Zakrzewski, D. Delande, Phys. Rev. A 80, 013602 (2009)
• [18] S. Ostlund, S. Rommer, Phys. Rev. Lett. 75, 3537 (1995)
• [19] U. Schollwöck, Ann. Phys. 326, 96 (2011)
• [20] G. Vidal, Phys. Rev. Lett. 91, 147902 (2003); ibid., 93, 040502 (2004)
• [21] S.R. White, A.E. Feiguin, Phys. Rev. Lett. 93, 076401 (2004) %

Identifiers

DOI

10.12693/APhysPolA.120.A-178