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We show that, as a result of non-linear self-interactions, it is feasible, at least in light of the bounds coming from terrestrial tests of gravity, measurements of the Casimir force and those constraints imposed by the physics of compact…

High Energy Physics - Phenomenology · Physics 2008-11-26 David F. Mota , Douglas J. Shaw

We provide an algorithm for evolving general spin-$s$ Gross-Pitaevskii / non-linear Schr\"odinger systems carrying a variety of interactions, where the $2s+1$ components of the `spinor' field represent the different spin-multiplicity…

Quantum Gases · Physics 2024-03-22 Mudit Jain , Mustafa A. Amin , Han Pu

In this paper the Hamiltonian for the system of semi-relativistic particles interacting with a scalar bose field is investigated. A scaled total Hamiltonian of the system is defined and its scaling limit is considered. Then the…

Functional Analysis · Mathematics 2015-05-18 Toshimitsu Takaesu

The Maxwell-Bloch system describes a quantum two-level medium interacting with a classical electromagnetic field by mediation of the the population density. This population density variation is a purely quantum effect which is actually at…

Pattern Formation and Solitons · Physics 2009-11-13 J. Leon , P. Anghel-Vasilescu , F. Ginovart , N. Allegra

We analyse the (thermo)dynamics of the scalar degrees of freedom in the scalar boson stars through the dark matter density under extreme conditions. The boson stars are studied in terms of a dark scalar sector in such a way this sector…

High Energy Physics - Phenomenology · Physics 2024-06-04 G. A. Kozlov

We investigate the dynamics of matter-wave solitons in the presence of a spatially varying atomic scattering length and nonlinearity. The dynamics of bright and dark solitary waves is studied using the corresponding Gross-Pitaevskii…

Other Condensed Matter · Physics 2009-11-11 G. Theocharis , P. Schmelcher , P. G. Kevrekidis , D. J. Frantzeskakis

We look into dark solitons in a quasi-1D dipolar Bose gas and in a quantum droplet. We derive the analytical solitonic solution of a Gross-Pitaevskii-like equation accounting for beyond mean-field effects. The results show there is a…

Quantum Gases · Physics 2023-02-07 Jakub Kopyciński , Maciej Łebek , Wojciech Górecki , Krzysztof Pawłowski

We study a two-component nonlinear Schr{\"{o}}dinger system with equal, repulsive cubic interactions and different dispersion coefficients in the two components. We consider states that have a dark solitary wave in one component. Treating…

Pattern Formation and Solitons · Physics 2015-01-28 E. G. Charalampidis , P. G. Kevrekidis , D. J. Frantzeskakis , B. A. Malomed

The interaction of moving discrete solitons with a linear Gaussian defect is investigated. Solitons with profiles varying from hyperbolic secant to exponentially localized are considered such that the mobility of soliton is maintained; the…

Pattern Formation and Solitons · Physics 2013-07-17 Valeriy A. Brazhnyi , Chandroth P. Jisha , A. S. Rodrigues

Exchange of energy by means of light-matter interaction provides a new dimension to various nonlinear dynamical systems. Here, the effects of light-matter interaction are investigated for a situation, where two counter-propagating,…

Quantum Gases · Physics 2022-06-10 Priyam Das , Ayan Khan , Anirban Pathak

Scalar mediated interactions among baryons extend well above the Compton wavelength, when they are embedded in a Bose-Einstein condensate composed of the mediating particles. Indeed, this non-trivial environment results in an…

Astrophysics · Physics 2009-11-10 F. Ferrer , J. A. Grifols

We study spherically symmetric soliton solutions in a model with a conformally coupled scalar field as well as in full conformal gravity. We observe that a new type of limiting behaviour appears for particular choices of the self-coupling…

General Relativity and Quantum Cosmology · Physics 2013-11-20 Yves Brihaye , Betti Hartmann , Sardor Tojiev

The long-term behavior of a modulationally unstable conservative nonintegrable system is known to be characterized by the soliton turbulence self-organization process. We consider this problem in the presence of a long-range interaction in…

Pattern Formation and Solitons · Physics 2021-08-31 Josselin Garnier , Kilian Baudin , Adrien Fusaro , Antonio Picozzi

We consider the interaction of two-component bright-bright solitons with a narrow potential barrier (splitter) in the framework of a system of two Gross-Pitaevskii (nonlinear-Schr\"{o}dinger) equations modeling a binary Bose-Einstein…

Pattern Formation and Solitons · Physics 2020-05-06 Callum L. Grimshaw , Simon A. Gardiner , Boris A. Malomed

A stable real scalar provides one of the simplest possibilities to account for dark matter. We consider the regime where its coupling to the Standard Model fields is negligibly small. Due to self-coupling, the scalar field can reach thermal…

High Energy Physics - Phenomenology · Physics 2019-08-13 Giorgio Arcadi , Oleg Lebedev , Stefan Pokorski , Takashi Toma

Nowadays cosmological inflation is the most accepted mechanism to explain the primordial seeds that led to the structure formation observed in the Universe. Current observations are in well agreement to initial adiabatic conditions, which…

Cosmology and Nongalactic Astrophysics · Physics 2019-08-13 Luis E. Padilla , J. Alberto Vázquez , Tonatiuh Matos , Gabriel Germán

If there is a scalar boson field interacting dominantly with a quark or a lepton in the thermal background, its coherent oscillation can be generated through the thermal effect and becomes a good dark matter candidate in a wide range of the…

High Energy Physics - Phenomenology · Physics 2022-01-12 Eung Jin Chun

In the framework of scalar-tensor gravity, we consider non-flat interacting quintessence cosmology where a scalar field is interacting with dark matter. Such a scalar field can be a standard or a phantom one. We use the Noether Symmetry…

General Relativity and Quantum Cosmology · Physics 2023-07-06 Ester Piedipalumbo , Stefano Vignolo , Pasquale Feola , Salvatore Capozziello

The dynamics of a cosmological model fueled by scalar field dark matter with a cosh-like potential plus a cosmological constant is investigated in detail. It is revealed that the late-time attractor is always the de Sitter solution, and…

Cosmology and Nongalactic Astrophysics · Physics 2009-12-31 Tonatiuh Matos , Jose-Ruben Luevano , Israel Quiros , L. Arturo Urena-Lopez , Jose Alberto Vazquez

In a cosmological model with a chiral symmetry, there are two, dynamically-related spin-zero fields, a scalar $\phi$ and a pseudoscalar $b$. These fields have self-interactions. Spontaneous symmetry breaking results in a very massive scalar…

Astrophysics · Physics 2009-11-10 Saul Barshay , Georg Kreyerhoff
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