Berlin 2005 – wissenschaftliches Programm
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TT: Tiefe Temperaturen
TT 9: Solids at Low Temperature - Quantum Liquids, Bose-Einstein Condensates, Ultracold Atoms, ...
TT 9.4: Vortrag
Freitag, 4. März 2005, 18:00–18:15, TU H3027
Non-equilibrium dynamics of hard-core bosons on 1D lattices: short vs large time results. — •M. Rigol1,2 and A. Muramatsu2 — 1Physics Department,University of California, Davis, CA 95616, USA — 2Institut für Theoretische Physik III, Universität Stuttgart, 70550 Stuttgart, Germany
Based on an exact treatment we study the non-equilibrium dynamics of hard-core bosons on one-dimensional lattices. Starting from a pure Fock state we find that quasi-long range correlations develop very fast in the system, and they lead to the emergence of quasi-condensates at finite momentum [1]. The exponent observed in the power-law decay of the one-particle density matrix, which develops dynamically, is the same that has been proven to be universal in the equilibrium case [2]. We also study the time evolution of clouds of hard-core bosons when they are released from a harmonic trap. In this case we show that the momentum distribution of the free expanding hard-core bosons approaches to the one of noninteracting fermions, in contrast to the known behavior in equilibrium systems [3].
[1] M. Rigol and A. Muramatsu, cond-mat/0403387, to appear in Phys. Rev. Lett. (2004)
[2] M. Rigol and A. Muramatsu, Phys. Rev. A 70, 031603(R) (2004); ibid. cond-mat/0409132.
[3] M. Rigol and A. Muramatsu, cond-mat/0410683