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

Li, Yongyao; Luo, Zhihuan; Liu, Yan; Chen, Zhaopin; Huang, Chaoqun; Fu, Shenhe; Tan, Haishu; Malomed, Boris A.

doi:10.1088/1367-2630/aa983b

Cited by 131 publications

(106 citation statements)

References 62 publications

Supporting

Mentioning

102

Contrasting

Order By: Relevance

“…The observed 2D self-bound dipolar droplets differ from the bound state of 2D weakly attracting bosons [24] and that of 2D Bose-Bose mixtures with both contact and dipolar interactions [19][20][21]. The former exists by the increased kinetic energy associated with their nonuniform shape while the latter occurs when the interspecies interaction is weakly attractive and the intraspecies ones are weakly repulsive.…”

Section: Introductionmentioning

confidence: 79%

See 1 more Smart Citation

Two-dimensional quantum droplets in dipolar Bose gases

Boudjemâa

2019

New J. Phys.

View full text Add to dashboard Cite

We calculate analytically the quantum and thermal fluctuations corrections of a dilute quasi-twodimensional Bose-condensed dipolar gas. We show that these fluctuations may change their character from repulsion to attraction in the density-temperature plane owing to the striking momentum dependence of the dipole-dipole interactions. The dipolar instability is halted by such unconventional beyond mean field corrections leading to the formation of a droplet phase. The equilibrium features and coherence properties exhibited by such droplets are deeply discussed. At finite temperature, we find that the equilibrium density crucially depends on the temperature and on the confinement strength and thus, a stable droplet can exist only at ultralow temperature due to the strong thermal fluctuations.

show abstract

Section: Introductionmentioning

confidence: 79%

“…In quasi-1D dipolar BEC, the LHY quantum corrections present anomalous properties due to the transversal modes and the quantum droplet is appeared only in a low density regime [18]. Quantum fluctuations play also a crucial role in stabilizing droplets in lowdimensional nondipolar Bose-Bose mixtures [19][20][21].…”

Section: Introductionmentioning

confidence: 99%

Two-dimensional quantum droplets in dipolar Bose gases

Boudjemâa

2019

New J. Phys.

View full text Add to dashboard Cite

show abstract

“…Lastly, it is relevant to mention that 2D solitons of the MM type, additionally stabilized by the LHY correction to the model of the binary condensate with SOC, were considered too [242]. Fig.…”

Section: D Mixed Modesmentioning

confidence: 99%

(INVITED) Vortex solitons: Old results and new perspectives

Malomed

2019

Physica D: Nonlinear Phenomena

168

115

View full text Add to dashboard Cite

A comparative review is given of some well-known and some recent results obtained in studies of two-and three-dimensional (2D and 3D) solitons, with emphasis on states carrying embedded vorticity. Physical realizations of multidimensional solitons in atomic Bose-Einstein condensates (BECs) and nonlinear optics are briefly discussed too. Unlike 1D solitons, which are typically stable, 2D and 3D ones are vulnerable to instabilities induced by the occurrence of the critical and supercritical collapse, respectively, in the 2D and 3D models with the cubic self-focusing nonlinearity. Vortex solitons are subject to a still stronger splitting instability. For this reason, a central problem is looking for physical settings in which 2D and 3D solitons may be stabilized. The review addresses in detail two well-established topics, viz., the stabilization of vortex solitons by means of competing nonlinearities, or by trapping potentials (harmonic-oscillator and spatially-periodic ones). The former topic includes a new addition, closely related to the recent breakthrough, viz., the prediction and creation of robust quantum droplets. Two other topics included in the review outline new schemes which were recently elaborated for the creation of stable vortical solitons in BEC. One scheme relies on the use of the spin-orbit coupling (SOC) in binary condensates with cubic intrinsic attraction, making it possible to predict stable 2D and 3D solitons, which couple or mix components with vorticities S = 0 and ±1 (semi-vortices (SVs) or mixed modes (MMs), respectively). In this system, the situation is drastically different in the 2D and 3D geometries. In 2D, the SOC helps to create a ground state (GS, which does not exist otherwise), represented by stable SV or MM solitons, whose norm falls below the threshold value at which the critical collapse sets in. In the 3D geometry, the supercritical collapse does not allow one to create a GS, but metastable solitons of the SV and MM types can be constructed. Another new scheme makes it possible to create stable 2D vortex-ring solitons with arbitrarily high S in a binary BEC with components coupled by microwave radiation. Some other topics are addressed briefly, such as vortex solitons in dissipative media, and attempts to create vortex solitons in experiments.List of acronyms: 1D -one-dimensional; 2D -two dimensional; 3D -three-dimensional; BEC -Bose-Einstein condensate; CGLE -complex Ginzburg-Landau equation; CQ -cubic-quintic (nonlinearity), FF -fundamental frequency; GPE -Gross-Pitaevskii equation; GS -ground state; GVD -group-velocity dispersion; HO -harmonic oscillator (potential); HV -hidden vorticity; LHY -Lee-Huang-Yang (correction to the mean-field dynamics of BEC); MF -mean field; MM -mixed mode; NLSE -nonlinear Schrödinger equation; OL -optical lattice; PT -parity-time (symmetry); QD -quantum droplet; SH -second harmonic; SOC -spin-orbit coupling; SV -semi-vortex; TF -Thomas-Fermi (approximation); TS -Townes' soliton; VA -variational approximation; VAV -vortex-antivortex (composit...

show abstract

“…In a recent landmark advance, stabilization of Bose-Einstein condensates (BECs) against collapse [6,7] by Lee-Huang-Yang (LHY) quantum corrections to the mean-field interactions [8] has been demonstrated experimentally, leading to the creation of fundamental (zero-vorticity) solitary states in the form of "quantum droplets" in BECs with dipole-dipole [9][10][11] and with contact [12][13][14][15] interactions. Regarding "droplets" with embedded vorticity, they are unstable in the former case [16], while LHY-stabilized 3D [17] and 2D [18,19] vortical droplets have been predicted in BECs with contact nonlinearity.…”

Section: Introduction and Modelmentioning

confidence: 97%

Multidimensional hybrid Bose-Einstein condensates stabilized by lower-dimensional spin-orbit coupling

Kartashov

Torner

Modugno

et al. 2020

Phys. Rev. Research

Self Cite

View full text Add to dashboard Cite

We show that attractive spinor Bose-Einstein condensates under the action of spin-orbit coupling (SOC) and Zeeman splitting form self-sustained stable two-and three-dimensional (2D and 3D) states in free space, even when SOC acts in a lower-dimensional form. We find that two-dimensional states are stabilized by one-dimensional (1D) SOC in a broad range of chemical potentials, for atom numbers ( or norm of the spinor wavefunction) exceeding a threshold value, which strongly depends on the SOC strength and vanishes at a critical point. The zero-threshold point is a boundary between single-peaked and striped states, realizing hybrids combining 2D and 1D structural features. In a vicinity of such point, an asymptotic equation describing the bifurcation of the solitons from the linear spectrum is derived and investigated analytically. We show that striped 3D solitary states are as well stabilized by 2D SOC, albeit in a limited range of chemical potentials and norms.PhySH Subject Headings: Solitons; Superfluids; Mixtures of atomic and/or molecular quantum gases

show abstract

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

Cited by 131 publications

References 62 publications

Two-dimensional quantum droplets in dipolar Bose gases

Two-dimensional quantum droplets in dipolar Bose gases

(INVITED) Vortex solitons: Old results and new perspectives

Multidimensional hybrid Bose-Einstein condensates stabilized by lower-dimensional spin-orbit coupling

Contact Info

Product

Resources

About