Two-dimensional bright solitons in dipolar Bose-Einstein condensates with tilted dipoles

Raghunandan, Meghana; Mishra, Chinmayee; Łakomy, Kazimierz; Pedri, P.; Santos, Luís; Nath, Rejish

doi:10.1103/physreva.92.013637

Cited by 38 publications

(34 citation statements)

References 42 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In particular, stable 2D optical solitons have been predicted and created in media with saturable [1], quadratic [2], cubic-quintic [3] and nonlocal nonlinearities [4,5], which do not give rise to the collapse. Stable quasi-2D matter-wave solitons were predicted in dipolar BECs with long-range interactions [6][7][8][9][10][11][12].…”

Section: Introductionmentioning

confidence: 99%

Two-dimensional solitons and quantum droplets supported by competing self- and cross-interactions in spin-orbit-coupled condensates

et al. 2017

View full text Add to dashboard Cite

We study two-dimensional (2D) matter-wave solitons in spinor Bose-Einstein condensates under the action of the spin-orbit coupling and opposite signs of the self-and cross-interactions. Stable 2D twocomponent solitons of the mixed-mode type are found if the cross-interaction between the components is attractive, while the self-interaction is repulsive in each component. Stable solitons of the semi-vortex type are formed in the opposite case, under the action of competing self-attraction and cross-repulsion. The solitons exist with the total norm taking values below a collapse threshold. Further, in the case of the repulsive self-interaction and inter-component attraction, stable 2D selftrapped modes, which may be considered as quantum droplets (QDs), are created if the beyondmean-field Lee-Huang-Yang terms are added to the self-repulsion in the underlying system of coupled Gross-Pitaevskii equations. Stable QDs of the mixed-mode type, of a large size with an anisotropic density profile, exist with arbitrarily large values of the norm, as the Lee-Huang-Yang terms eliminate the collapse. The effect of the spin-orbit coupling term on characteristics of the QDs is systematically studied. We also address the existence and stability of QDs in the case of SOC with mixed Rashba and Dresselhaus terms, which makes the density profile of the QD more isotropic. Thus, QDs in the spin-orbit-coupled binary Bose-Einstein condensate are for the first time studied in the present work.

show abstract

Section: Introductionmentioning

confidence: 99%

Two-dimensional solitons and quantum droplets supported by competing self- and cross-interactions in spin-orbit-coupled condensates

et al. 2017

View full text Add to dashboard Cite

show abstract

“…It has been predicted too that long-range dipole-dipole interactions can create 2D matter-wave solitons in BECs with permanent atomic/molecular magnetic or electric dipole moments [9][10][11][12][13][14]. Because dipole-dipole interactions can be tuned to be isotropic or anisotropic by choosing the orientation of the external polarizing field with respect to the system's plane, this makes the dipolar BECs appropriate media for simulating 2D and 3D solitons and solitary vortices.…”

Section: Introduction and The Modelmentioning

confidence: 99%

Excited states of two-dimensional solitons supported by spin-orbit coupling and field-induced dipole-dipole repulsion

Huang

Liu

et al. 2018

Phys. Rev. A

View full text Add to dashboard Cite

It was recently found that excited states of semi-vortex and mixed-mode solitons are unstable in spin-orbit-coupled Bose-Einstein condensates (BECs) with contact interactions. We demonstrate a possibility to stabilize such excited states in a setting based on repulsive dipole-dipole interactions induced by a polarizing field, oriented perpendicular to the plane in which the dipolar BEC is trapped. The strength of the field is assumed to grow in the radial direction ∼ r 4 . Excited states of semi-vortex solitons have vorticities S and S + 1 in their two components, each being an eigenstate of the angular momentum. They are fully stable up to S = 5. Excited state of mixed-mode solitons feature interweaving necklace structures with opposite fractional values of the angular momentum in the two components. They are stable if they are built of dominant angular harmonics ±S, with S ≤ 4. Characteristics and stability of these two types of previously unknown higher-order solitons are systematically analyzed. Their characteristic size is ∼ 10 µm, with the number of atoms 10 5 .

show abstract

“…In particular, nonlocal nonlinear response in plasmas is induced by heating and ionization [21], and the propagation of light in nematic liquid crystals features nonlocality resulting from long-range molecular interactions [22]. In BECs, nonlocality originates from isotropic long-range Van der Waals interactions between Rydberg atoms [23,24], as well as from dipole-dipole interactions (DDIs) between atoms or molecules possessing permanent magnetic or electric dipole moments [25][26][27][28][29][30][31], or moments induced by an external polarizing field [32]. Permanent quadrupole moments give rise to similar long-range interactions in a molecular BEC [33].…”

Section: Introductionmentioning

confidence: 99%

Anisotropic semivortices in dipolar spinor condensates controlled by Zeeman splitting

Liao¹,

Li²,

Huang³

et al. 2017

Phys. Rev. A

View full text Add to dashboard Cite

Spatially anisotropic solitary vortices, i.e., bright anisotropic vortex soliton (AVSs), supported by anisotropic dipole-dipole interactions, were recently predicted in spin-orbit-coupled binary Bose-Einstein condensates (BECs), in the form of two-dimensional semi-vortices (complexes built of zero-vorticity and vortical components). We demonstrate that the shape of the AVSs -horizontal or vertical, with respect to the in-plane polarization of the atomic dipole moments in the underlying BEC -may be effectively controlled by strength Ω of the Zeeman splitting (ZS). A transition from the horizontal to vertical shape with the increase of Ω is found numerically and explained analytically. At the transition point, the AVS assumes the shape of an elliptical ring. Mobility of horizontal AVSs is studied too, with a conclusion that, with the increase of Ω, their negative effective mass changes the sign into positive via a point at which the effective mass diverges. Lastly, we report a new species of inverted AVSs, with the zero-vorticity and vortex component placed in lower-and higher-energy components, as defined by the ZS. They are excited states, with respect to the ground states provided by the usual AVSs. Quite surprisingly, inverted AVSs are stable in a large parameter region.

show abstract

Two-dimensional bright solitons in dipolar Bose-Einstein condensates with tilted dipoles

Cited by 38 publications

References 42 publications

Two-dimensional solitons and quantum droplets supported by competing self- and cross-interactions in spin-orbit-coupled condensates

Two-dimensional solitons and quantum droplets supported by competing self- and cross-interactions in spin-orbit-coupled condensates

Excited states of two-dimensional solitons supported by spin-orbit coupling and field-induced dipole-dipole repulsion

Anisotropic semivortices in dipolar spinor condensates controlled by Zeeman splitting

Contact Info

Product

Resources

About