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Institucional

Laroze, David

Diaz, Pablo#Avila, Andres#Malomed, Boris A.

Two-dimensional composite solitons in a spin-orbit-coupled fermi gas in free space

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COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION

en

We address a possibility of creating soliton states in oblate binary-fermionic clouds in the framework of the density-functional theory, which includes the spin-orbit coupling (SOC) and nonlinear attraction between spin-up and down-polarized components of the spinor wave function. In the limit when the inter-component attraction is much stronger than the effective intra-component Pauli repulsion, the resulting model also represents a system of Gross-Pitaevskii equations for a binary Bose-Einstein condensate including the SOC effect. We show that the model gives rise to two-dimensional quiescent composite solitons in free space. A stability region is identified for solitons of the mixed-mode type (which feature mixtures of zero-vorticity and vortical terms in both components), while solitons of the other type, semi-vortices (with the vorticity carried by one component) are unstable. Due to breaking of the Galilean invariance by SOC, the system supports moving solitons with velocities up to a specific critical value. Collisions between moving solitons are briefly considered too. The collisions lead, in particular, to a quasi-elastic rebound, or an inelastic outcome, which features partial merger of the solitons. (C) 2018 Elsevier B.V. All rights reserved.

Artículo original

PD acknowledges partial financial support from DIUFRO project under grant DI18-0066 and CMCC of the Universidad de La Frontera. DL acknowledge partial financial support from Centers of excellence with BASAL/CONICYT financing, Grant FB0807, CEDENNA and CONICYT-ANILLO ACT 1410. PD and DL acknowledges financial support form FONDECYT 1180905. The work of BAM is supported, in part, by the joint program in physics between NSF and Binational (US-Israel) Science Foundation through project No. 2015616, and by the Israel Science Foundation, through grant no. 1287/17. The authors appreciates a support provided by the PAI-CONICYT program (Chile), grant no. 80160086, and hospitality of Instituto de Alta Investigacion, at Universidad de Tarapac a (Arica, Chile).

PD agradece el apoyo financiero parcial del proyecto DIUFRO bajo la subvención DI18-0066 y CMCC de la Universidad de La Frontera. DL agradece el apoyo financiero parcial de los Centros de Excelencia con financiamiento BASAL/CONICYT, Subvención FB0807, CEDENNA y CONICYT-ANILLO ACT 1410. PD y DL agradecen el apoyo financiero del formulario FONDECYT 1180905. El trabajo de BAM es financiado, en parte, por el programa conjunto en física entre NSF y la Fundación Binacional (EE. UU.-Israel) para la Ciencia a través del proyecto No. 2015616, y por la Fundación para la Ciencia de Israel, a través de la subvención No. 1287/17. Los autores agradecen el apoyo proporcionado por el programa PAI-CONICYT (Chile), subvención No. 80160086, y la hospitalidad del Instituto de Alta Investigación, en la Universidad de Tarapacá (Arica, Chile).

10.1016/j.cnsns.2018.10.024

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Cold atoms# Spin-orbit coupling# Solitons

http://dx.doi.org/10.1016/j.cnsns.2018.10.024

Mathematics, Applied# Mathematics, Interdisciplinary Applications# Mechanics# Physics, Fluids & Plasmas# Physics, Mathematical

Átomos fríos# Acoplamiento de órbita de giro# solitones

Física de la Materia Condensada

Física de Plasmas y Fluidos

Otras Especialidades de la Física

WOS:000450913800026

Two-dimensional composite solitons in a spin-orbit-coupled fermi gas in free space

arXiv:1811.02718v1

Artículo original

version publicada

ELSEVIER

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION

Matemáticas Aplicadas# Matemáticas, Aplicaciones Interdisciplinarias# Mecánica# Física, Fluidos y Plasmas# Física, Matemáticas

1007-5704

en

UFRO DI18-0066#ANID BASAL/CONICYT FB0807#ANID CEDENNA CONICYT-ANILLO ACT 1410#ANID FONDECYT 1180905#NSF 2015616#Israel Science Foundation 1287/17#ANID PAI-CONICYT 80160086#UTA

UFRO DI18-0066

ANID BASALCONICYT FB0807

ANID CONICYT ANILLO ACT 1410

ANID FONDECYT 1180905

NSF 2015616

Binational US-Israel Science Foundation 2015616

Israel Science Foundation 1287/17

ANID PAI-CONICYT 80160086

PD acknowledges partial financial support from DIUFRO project under grant DI18-0066 and CMCC of the Universidad de La Frontera. DL acknowledge partial financial support from Centers of excellence with BASAL/CONICYT financing, Grant FB0807, CEDENNA and CONICYT-ANILLO ACT 1410. PD and DL acknowledges financial support form FONDECYT 1180905. The work of BAM is supported, in part, by the joint program in physics between NSF and Binational (US-Israel) Science Foundation through project No. 2015616, and by the Israel Science Foundation, through grant no. 1287/17. The authors appreciates a support provided by the PAI-CONICYT program (Chile), grant no. 80160086, and hospitality of Instituto de Alta Investigacion, at Universidad de Tarapac a (Arica, Chile).

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