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

M. Łąckia, b, D. Delandeb and J. Zakrzewskia, c aInstytut Fizyki Mariana Smoluchowskiego, Uniwersytet Jagielloński, W.S. Reymonta 4, 30-059 Kraków, Poland bLaboratoire Kastler-Brossel, UPMC, ENS, CNRS, 4 Place Jussieu, F-75005 Paris, France cMark Kac Complex Systems Research Center, Uniwersytet Jagielloński, W.S. Reymonta 4, 30-059 Kraków, Poland

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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.

DOI: 10.12693/APhysPolA.120.A-178 PACS numbers: 67.85.Hj, 03.75.Kk, 03.75.Lm