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Many-body properties of Bose-Einstein condensates from multi configurational time-dependent Hartree method

Grant number: 18/02737-4
Support Opportunities:Scholarships in Brazil - Doctorate
Effective date (Start): May 01, 2018
Effective date (End): February 28, 2022
Field of knowledge:Physical Sciences and Mathematics - Physics - Atomic and Molecular Physics
Principal Investigator:Arnaldo Gammal
Grantee:Alex Valerio Andriati
Host Institution: Instituto de Física (IF). Universidade de São Paulo (USP). São Paulo , SP, Brazil
Associated research grant:16/17612-7 - Dynamics of many-body systems IV, AP.TEM


We are going to study Bose-Einstein Condensates (BEC) beyond Gross-Pitaevskii (GP) mean-field approach, pursuing novel methods that take in account the depletion of atoms from the same quantum state, absent in GP mean-field. These new methods are already being studied in what is called Multi Configurational Time-Dependent Hartree (MCTDH) whose can be used in the limit of stronger interactions either between the atoms or within a external potential than those where GP equations are capable to describe. In developing this new approach, it is possible to search regimes where there is disagreement with GP equations, furthermore, opening a way to measure the condensate fraction and correlation functions. We are going to develop codes to solve equations in this MCTDH method, firstly for one dimensional periodic systems, studying some current themes as persistent currents in a ring and Spin-Orbit Coupling (SOC) between pseudo-spin-1/2 either with only Rashba term or balanced with Dresselhaus. In those proposed systems, it will be done calculations sweeping a wide set of values to the interaction strength and exploiting the action of a time dependent external potential, also looking for the ground and excited states, condensate fraction, correlation functions for density, deviation from the GP prescription and phase diagrams. (AU)

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Scientific publications
(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)
ANDRIATI, ALEX; BRITO, LEONARDO; TOMIO, LAURO; GAMMAL, ARNALDO. Stability of a Bose-condensed mixture on a bubble trap. Physical Review A, v. 104, n. 3, . (16/17612-7, 18/02737-4, 17/05660-0)
BRITO, LEONARDO; ANDRIATI, ALEX; TOMIO, LAURO; GAMMAL, ARNALDO. Breakup of rotating asymmetric quartic-quadratic trapped condensates. Physical Review A, v. 102, n. 6, . (18/02737-4, 16/17612-7, 17/05660-0)
BRITO, LEONARDO; ANDRIATI, ALEX; TOMIO, LAURO; GAMMAL, ARNALDO. Breakup of rotating asymmetric quartic-quadratic trapped condensates. HYSICAL REVIEW, v. 102, n. 6, p. 13-pg., . (17/05660-0, 18/02737-4, 16/17612-7)
Academic Publications
(References retrieved automatically from State of São Paulo Research Institutions)
ANDRIATI, Alex Valerio. Multiconfigurational Hartree method for many-particle systems. 2022. Doctoral Thesis - Universidade de São Paulo (USP). Instituto de Física (IF/SBI) São Paulo.

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