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Study of properties of Bose-Einstein Condensate: dipolar atoms and condensate of fermions

Abstract

We will study the static and dynamic properties of a trapped Bose-Einstein condensate. A conventional condensate has only aweak atomic interaction of short range. The study of Bose-Einstein condensates will be extended to include condensates of dipolar bosonic atoms and also of fermionic atoms. A Bose-Einstein condensate of dipolar atoms has long-range anisotropic dipolar interaction and has distinct stability properties and can lead to the formation of stable soliton in one and two spatial dimensions only under the action of a weak periodic potential of optical lattice. In the propagation of sound and the collapse of dipolar condensates, we have the manifestation ofanisotropic interaction. The sound travels at different speeds in different directions. The soliton may also have an anisotropic structure. Because of the Pauli principle the condensate of fermions is more stable and allows the study in the region of strong interaction. Various topics of trapped condensate will be studied, such as the formation of solitons and vortices, propagation of sound and shock wave, the strong interaction limit, dynamic oscillation,coupled interacting condensates, collapse, etc. We will study these issues using a time-dependent mean-field formalism. In the case of weak interaction this procedure reduces to the Gross-Pitaevskii equation. We will solve the mean-field equation numerically and also using the variational approximation to study the properties of the condensates. (AU)

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Scientific publications (26)
(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)
ADHIKARR, S. K.. Phase separation of vector solitons in spin-orbit-coupled spin-1 condensates. Physical Review A, v. 100, n. 6, . (12/00451-0, 13/07213-0)
YOUNG-S, LUIS E.; MURUGANANDAM, PAULSAMY; ADHIKARI, SADHAN K.; LONCAR, VLADIMIR; VUDRAGOVIC, DUSAN; BALAZ, ANTUN. OpenMP GNU and Intel Fortran programs for solving the time-dependent Gross-Pitaevskii equation. COMPUTER PHYSICS COMMUNICATIONS, v. 220, p. 503-506, . (12/00451-0)
KUMAR, RAMAVARMARAJA KISHOR; LONCAR, VLADIMIR; MURUGANANDAM, PAULSAMY; ADHIKARI, SADHAN K.; BALAZ, ANTUN. C and Fortran OpenMP programs for rotating Bose-Einstein condensates. COMPUTER PHYSICS COMMUNICATIONS, v. 240, p. 74-82, . (16/01343-7, 12/00451-0, 14/01668-8)
GAUTAM, SANDEEP; ADHIKARI, S. K.. Three-dimensional vortex-bright solitons in a spin-orbit-coupled spin-1 condensate. Physical Review A, v. 97, n. 1, . (16/01343-7, 12/00451-0)
ADHIKARI, S. K.. Improved effective-range expansions for small and large values of scattering length. European Journal of Physics, v. 39, n. 5, . (16/01343-7, 12/00451-0)
LONCAR, VLADIMIR; YOUNG-S, LUIS E.; SKRBIC, SRDJAN; MURUGANANDAM, PAULSAMY; ADHIKARI, SADHAN K.; BALAZ, ANTUN. OpenMP, OpenMP/MPI, and CUDA/MPI C programs for solving the time-dependent dipolar Gross-Pitaevskii equation. COMPUTER PHYSICS COMMUNICATIONS, v. 209, p. 190-196, . (14/16363-8, 12/00451-0, 12/21871-7)
GAUTAM, SANDEEP; ADHIKARI, S. K.. Vector solitons in a spin-orbit-coupled spin-2 Bose-Einstein condensate. Physical Review A, v. 91, n. 6, . (12/00451-0, 13/07213-0)
GAUTAM, SANDEEP; ADHIKARI, S. K.. Mobile vector soliton in a spin-orbit coupled spin-1 condensate. Laser Physics Letters, v. 12, n. 4, . (12/00451-0, 13/07213-0)
GAUTAM, SANDEEP; ADHIKARI, S. K.. Fractional-charge vortex in a spinor Bose-Einstein condensate. Physical Review A, v. 93, n. 1, . (12/00451-0, 13/07213-0)
LONCAR, VLADIMIR; BALAZ, ANTUN; BOOJEVIC, ALEKSANDAR; SKRBIC, SRDJAN; MURUGANANDAM, PAULSAMY; ADHIKARI, SADHAN K.. CUDA programs for solving the time-dependent dipolar Gross-Pitaevskii equation in an anisotropic trap. COMPUTER PHYSICS COMMUNICATIONS, v. 200, p. 406-410, . (12/00451-0)
ADHIKARI, S. K.; SALASNICH, L.. Vortex lattice in the crossover of a Bose gas from weak coupling to unitarity. SCIENTIFIC REPORTS, v. 8, . (16/01343-7, 12/00451-0)
ADHIKARI, S. K.. A self-bound matter-wave boson-fermion quantum ball. LASER PHYSICS LETTERS, v. 15, n. 9, . (16/01343-7, 12/00451-0)
ADHIKARI, S. K.. Statics and dynamics of a self-bound matter-wave quantum ball. Physical Review A, v. 95, n. 2, . (12/00451-0)
SATARIC, BOGDAN; SLAVNIC, VLADIMIR; BELIC, ALEKSANDAR; BALAZ, ANTUN; MURUGANANDAM, PAULSAMY; ADHIKARI, SADHAN K.. Hybrid OpenMP/MPI programs for solving the time-dependent Gross-Pitaevskii equation in a fully anisotropic trap. COMPUTER PHYSICS COMMUNICATIONS, v. 200, p. 411-417, . (12/00451-0)
KUMAR, R. KISHOR; YOUNG-S, LUIS E.; VUDRAGOVIC, DUSAN; BALAZ, ANTUN; MURUGANANDAM, PAULSAMY; ADHIKARI, S. K.. Fortran and C programs for the time-dependent dipolar Gross-Pitaevskii equation in an anisotropic trap. COMPUTER PHYSICS COMMUNICATIONS, v. 195, p. 117-128, . (12/00451-0, 12/21871-7)
GAUTAM, SANDEEP; ADHIKARI, S. K.. Spontaneous symmetry breaking in a spin-orbit-coupled f=2 spinor condensate. Physical Review A, v. 91, n. 1, . (12/00451-0, 13/07213-0)
YOUNG-S., LUIS E.; VUDRAGOVIC, DUGAN; MURUGANANDAM, PAULSAMY; ADHIKARI, SADHAN K.; BALAZ, ANTUN. OpenMP Fortran and C programs for solving the time-dependent Gross-Pitaevskii equation in an anisotropic trap. COMPUTER PHYSICS COMMUNICATIONS, v. 204, p. 209-213, . (14/16363-8, 12/00451-0, 12/21871-7)
ADHIKARI, S. K.. Stable spatial and spatiotemporal optical soliton in the core of an optical vortex. Physical Review E, v. 92, n. 4, . (12/00451-0)
ADHIKARI, S. K.. Statics and dynamics of a self-bound dipolar matter-wave droplet. Laser Physics Letters, v. 14, n. 2, . (12/00451-0)
GAUTAM, SANDEEP; ADHIKARI, S. K.. Vortex-bright solitons in a spin-orbit-coupled spin-1 condensate. Physical Review A, v. 95, n. 1, . (13/07213-0, 12/00451-0)
GAUTAM, SANDEEP; ADHIKARI, S. K.. Analytic models for the density of a ground-state spinor condensate. Physical Review A, v. 92, n. 2, . (12/00451-0, 13/07213-0)

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