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
• Start date: January 01, 2024
• End date: 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

Abstract

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)

Scientific publications

(4)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

CHAKRABARTI, BARNALI; GAMMAL, ARNALDO; CHAVDA, N. D.; LEKALA, MANTILE LESLIE. Quantum-information-theoretical measures to distinguish fermionized bosons from noninteracting fermions. PHYSICAL REVIEW A, v. 109, n. 6, p. 12-pg., 2024-06-04. (23/06550-4)

ROY, SUBHRAJYOTI; ROY, RHOMBIK; GAMMAL, ARNALDO; CHAKRABARTI, BARNALI; CHATTERJEE, BUDHADITYA. Phases and coherence of strongly interacting finite bosonic systems in shallow optical lattice. ANNALS OF PHYSICS, v. 470, p. 14-pg., 2024-09-24. (23/06550-4)

CHAKRABARTI, BARNALI; GAMMAL, ARNALDO; SALASNICH, LUCA. Strongly interacting bosons in a one-dimensional disordered lattice: Phase coherence of distorted Mott phases. PHYSICAL REVIEW B, v. 110, n. 18, p. 14-pg., 2024-11-06. (23/06550-4)

CHAKRABARTI, BARNALI; DEBNATH, PANKAJ KUMAR; GAMMAL, ARNALDO. Sorting of dynamical crystallization from dynamical fermionization: A quantum many-body approach. Physics Letters A, v. 523, p. 7-pg., 2024-08-22. (23/06550-4)