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We present variational calculations using a Gaussian trial function to calculate the ground state of the Gross-Pitaevskii equation and to describe the dynamics of the quasi-two-dimensional solitons in dipolar Bose-Einstein condensates.…

Quantum Gases · Physics 2011-05-05 Rüdiger Eichler , Jörg Main , Günter Wunner

We investigate a two-dimensional Bose-Einstein condensate that is optically driven via a retro-reflecting mirror, forming a single optical feedback loop. This induces a peculiar type of long-range atomic interaction with highly oscillatory…

Quantum Gases · Physics 2021-02-10 Yong-Chang Zhang , Valentin Walther , Thomas Pohl

We present a method for phase and number squeezing in two-mode Bose systems using dissipation. The effectiveness of this method is demonstrated by considering cold Bose gases trapped in a double-well potential. The extension of our…

Quantum Gases · Physics 2012-02-09 Gentaro Watanabe , Harri Mäkelä

We calculate the ground states of a dipolar Bose gas confined in an infinite tube potential. We use the extended Gross-Pitaevskii equation theory and present a novel numerical method to efficiently obtain solutions. A key feature of this…

Quantum Gases · Physics 2023-03-07 Joseph C. Smith , D. Baillie , P. B. Blakie

A new method for the creation of 3D solitary topological modes, corresponding to vortical droplets of a two-component dilute superfluid, is presented. We use the recently introduced system of nonlinearly coupled Gross-Pitaevskii equations,…

Quantum Gases · Physics 2018-07-18 Yaroslav V. Kartashov , Boris A. Malomed , Leticia Tarruell , Lluis Torner

Recent experiments confirmed that fluctuations beyond the mean-field approximation can lead to self-bound liquid droplets of ultra-dilute binary Bose mixtures. We proceed beyond the beyond-mean-field approximation, and study liquid Bose…

Quantum Gases · Physics 2019-08-01 Clemens Staudinger , Ferran Mazzanti , Robert E. Zillich

We construct rogue wave and breather solutions of a quasi-two-dimensional Gross-Pitaevskii equation with a time-dependent interatomic interaction and external trap. We show that the trapping potential and an arbitrary functional parameter…

Exactly Solvable and Integrable Systems · Physics 2016-07-15 K. Manikandan , M. Senthilvelan , R. A. Kraenkel

The stochastic Gross-Pitaevskii equation represents a versatile approach for studying the dynamics of trapped degenerate ultracold Bose gases in the presence of large phase and density fluctuations. Following a brief review of the original…

Other Condensed Matter · Physics 2015-05-13 S. P. Cockburn , N. P. Proukakis

In this work, we investigate the modulational instability of plane wave solutions within a modified Gross-Pitaevskii equation framework. The equation features cubic and quartic nonlinearity. It models the behaviour of quasi-one-dimensional…

Quantum Gases · Physics 2024-05-20 Sherzod R. Otajonov , Bakhram A. Umarov , Fatkhulla Kh. Abdullaev

We systematically study the effects of higher-order quantum and thermal fluctuations on the stabilization of self-bound droplets in Bose mixtures employing the time-dependent Hartree-Fock-Bogoliubov theory. We calculate the ground-state…

Quantum Gases · Physics 2021-08-20 Nadia Guebli , Abdelaali Boudjemaa

We investigate the properties of quantized vortices in a dipolar Bose-Einstein condensed gas by means of a generalised Gross-Pitaevskii equation. The size of the vortex core hugely increases by increasing the weight of the dipolar…

Quantum Gases · Physics 2020-08-26 A. Gallemì , S. M. Roccuzzo , S. Stringari , A. Recati

The stochastic Gross-Pitaevskii equation is shown to be an excellent model for quasi-one-dimensional Bose gas experiments, accurately reproducing the in situ density profiles recently obtained in the experiments of Trebbia et al. [Phys.…

Quantum Gases · Physics 2015-05-27 S. P. Cockburn , D. Gallucci , N. P. Proukakis

We have investigated self-bound binary ultra dilute bosonic mixtures at zero temperature within Density Functional Theory using a Local Density Approximation. We provide the explicit expression of the Lee-Huang-Yang correction in the…

Quantum Gases · Physics 2018-11-28 Francesco Ancilotto , Manuel Barranco , Montserrat Guilleumas , Marti Pi

Strongly dipolar Bose gases can form liquid droplets stabilized by quantum fluctuations. In theoretical description of this phenomenon, low energy scattering amplitude is utilized as an effective potential. We show that for magnetic atoms…

Quantum Gases · Physics 2017-03-27 Rafał Ołdziejewski , Krzysztof Jachymski

Far from equilibrium, universal dynamics prevails in many different situations, from pattern coarsening to turbulence. A central longstanding problem concerns the development of a theory of coarsening that rests on the microscopic…

We study the equilibrium properties of self-bound droplets in two-dimensional Bose mixtures employing the time-dependent Hartree-Fock-Bogoliubov theory. This theory allows one to understand both the many-body and temperature effects beyond…

Quantum Gases · Physics 2021-11-09 Abdelaali Boudjemaa

We study the collective modes of a one-dimensional harmonically trapped Bose-Einstein condensate in the presence of the anomalous density using the time-dependent Hartree-Fock-Bogoliubov theory. Within the hydrodynamic equations, we derive…

Quantum Gases · Physics 2016-11-29 Abdelaali Boudjemaa

Quantum droplets have been realized in experiments on binary boson mixtures and dipolar Bose gases. In these systems, the mean-field energy of the Bose-Einstein condensation is attractive, and the repulsive Lee-Huang-Yang energy is crucial…

Quantum Gases · Physics 2021-01-13 Qi Gu , Lan Yin

By combining first-principles path integral Monte Carlo methods and mean-field techniques, we explore the properties of cylindrically trapped doubly-dipolar Bose gases. We first verify the emergence of a pancake quantum droplet at low…

Quantum Gases · Physics 2024-02-13 Ratheejit Ghosh , Matteo Ciardi , Rejish Nath , Fabio Cinti

We solve the Gross-Pitaevskii equation to model the behaviour of a weakly-interacting Bose condensate. Solutions are presented for the eigenstates in one- and two-dimensional harmonic traps. We include the effect of gravity and coupling to…

Statistical Mechanics · Physics 2009-10-31 B. Jackson , J. F. McCann , C. S. Adams
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