Extracting information from non adiabatic dynamics: excited symmetric states of the Bose-Hubbard model

Details Extracting information from non adiabatic dynamics: excited symmetric states of the Bose-Hubbard model Extracting information from non adiabatic dynamics: excited symmetric states of the Bose-Hubbard model

2011-07-29

arxiv.org/abs/1107.5937v1

Physics

Condensed Matter

Quantum Gases

inv. talk at 5th Workshop on Quantum Chaos and Localization Phenomena, Warsaw 2011

Scientific paper

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 realized in a typical experiment. The analysis is conducted in a symmetric external potential both without and with and 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.

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