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

M. Łącki
^{a, b}, D. Delande^{b} and J. Zakrzewski^{a, c}^{a}Instytut Fizyki Mariana Smoluchowskiego, Uniwersytet Jagielloński, W.S. Reymonta 4, 30-059 Kraków, Poland
^{b}Laboratoire Kastler-Brossel, UPMC, ENS, CNRS, 4 Place Jussieu, F-75005 Paris, France
^{c}Mark Kac Complex Systems Research Center, Uniwersytet Jagielloński, W.S. Reymonta 4, 30-059 Kraków, Poland |

Full Text PDF |

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 |