Quantum effects on one-dimensional collision dynamics of fermion clusters

Details Quantum effects on one-dimensional collision dynamics of fermion clusters Quantum effects on one-dimensional collision dynamics of fermion clusters

2011-07-05

arxiv.org/abs/1107.0774v1

Physics

Condensed Matter

Quantum Gases

3 pages, 4 figures, submitted to the proceedings for 26th International Conference on Low Temperature Physics (LT26)

Scientific paper

Recently, many experiments with cold atomic gases have been conducted from interest in the non-equilibrium dynamics of correlated quantum systems. Of these experiments, the mixing dynamics of fermion clusters motivates us to research cluster-cluster collision dynamics in one-dimensional Fermi systems. We adopt the one-dimensional Fermi-Hubbard model and apply the time-dependent density matrix renormalization group method. We simulate collisions between two fermion clusters of spin-up and spin-down, and calculate reflectance of the clusters R changing the particle number in each cluster and the interaction strength between two fermions with up and down spins. We also evaluate the quasi-classical (independent collision) reflectance R^{qc} to compare it with R. The quasi-classical picture is quantitatively valid in the limit of weak interaction, but it is not valid when interaction is strong.

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