Berlin 2014 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 57: Quantum gases: Lattices II

Q 57.8: Vortrag

Freitag, 21. März 2014, 12:15–12:30, UDL HS2002

Numerical simulation of the propagation of quantum correlations after a quench in the Bose-Hubbard model — •Konstantin Krutitsky1, Patrick Navez1, Friedemann Queisser2, and Ralf Schützhold11Universtät Duisburg-Essen, Lotharstrasse 1, 47057 Duisburg, Germany — 2The University of British Columbia, 6224 Agricultural Road, Vancouver, BC V6T 1Z1, Canada

Using the hierarchy of correlations [1,2,3], we investigate the propagation of quantum correlations after a quench obtained by suddenly switching on the tunneling parameter to the Mott phase in the Bose-Hubbard model in one and two dimensions. To this end, we solve numerically the coupled set of equations for the on-site reduced density matrix and the correlations between two lattice sites. Comparing these results with exact (numerical) diagonalization for small lattices, we find surprisingly good agreement, even in one and two dimensions. For larger lattices, we find that the propagation of quantum correlations obeys an effective light-cone structure and also induces revival properties in ring lattices (with periodic boundary conditions).

Ref: [1] Emergence of coherence in the Mott-superfluid quench of the Bose-Hubbard model, P. Navez, R. Schützhold, Phys. Rev. A, 82 063603 (2010); [2]Quasi-particle approach for general lattice Hamiltonians, P. Navez, F. Queisser, R. Schützhold, arXiv:1303.4112; [3]Equilibration versus (pre) thermalization in the Bose and Fermi Hubbard models, F. Queisser, K. Krutitsky, P. Navez, R. Schützhold, arXiv:1311.2212.

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