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Strongly interacting bosons in disordered lattice, quantum phases, coherence and dynamical quantum phase transition

Grant number: 23/06550-4
Support Opportunities:Research Grants - Visiting Researcher Grant - International
Duration: January 01, 2024 - December 31, 2024
Field of knowledge:Physical Sciences and Mathematics - Physics - Condensed Matter Physics
Principal Investigator:Arnaldo Gammal
Grantee:Arnaldo Gammal
Visiting researcher: Barnali Chakrabarti
Visiting researcher institution: Presidency University, India
Host Institution: Instituto de Física (IF). Universidade de São Paulo (USP). São Paulo , SP, Brazil


The realization of fully controlled quantum many-body systems is an outstanding challenge since past years. Several physical platforms are being recently explored to address the fundamental properties of quantum matter. Among them, the interacting bosons at ultracold temperature allow an unprecedented amount of experimental control and serve as a quantum simulator for other many-body systems in solid state and condensed matter. One of the most thriving experiments is the realization of Anderson localization in a 1D quasiperiodic optical lattice (OL) with controlled disorder [Nature 453, 891 (2008); Nature 453, 895 (2008); Nature Phys. 6, 354 (2010); Nature Phys. 6, 677 (2010)]. Different regimes are identified as Anderson Glass (AG), Bose Glass, fragmented and coherent Bose-Einstein condensation (BEC). Localization and de- localization are studied by transport properties. The theoretical studies in this direction mainly utilize 1D nonlinear Gross-Pitaevskii (GP) equation and the disordered Bose-Hubbard model. However the study of strongly correlated bosons in disorder lattice and its full many-body dynamics is beyond the scope of GP and Bose-Hubbard physics and one needs an exact many-body treatment. In the proposed project we like to study this outstanding challenge of controlling the strongly interacting and strongly correlated quantum matter in the quasiperiodic OL with weak and strong disorder by quantum many body calculations. We adopt the multiconfigurational time-dependent Hartree method for bosons (MCTDHB) which is exact by its construction. We expect rich many body physics as fragmentation is the hallmark of MCTDHB. (AU)

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