We study the vortex-bright solitons in a quasi-two-dimensional spin-orbit-coupled (SO-coupled) hyperfine spin-1 three-component Bose-Einstein condensate (BEC) using variational method and numerical solution of mean-field model. The ground state these is radially symmetric for weak ferromagnetic polar interactions. For sufficiently strong interaction, we observe emergence an asymmetric soliton as state. also numerically investigate stable moving binary collision between them. present model...

We demonstrate stable and metastable vortex-bright solitons in a three-dimensional spin-orbit-coupled three-component hyperfine spin-1 Bose-Einstein condensate (BEC) using numerical solution variational approximation of mean-field model. The spin-orbit coupling provides attraction to form both attractive repulsive spinor BECs. ground state these is axially symmetric for weak polar interaction. For sufficiently strong ferromagnetic interaction, we observe the emergence fully asymmetric...

Healthcare professionals encounter numerous challenges in diagnosing breast cancer, and this study addresses the pivotal issue of how physicians comprehend utilize data on cancer categorization. In an era where machine learning other technological innovations are transforming medical diagnosis, it becomes crucial for healthcare practitioners to grasp practical implications. The research delves into difficulties that face when assessing outputs machine-learning algorithms screening. aims...

Abstract We implement Hartree-Fock-Bogoliubov theory with Popov approximation for a homogeneous Raman-induced spin-orbit-coupled spin-1 Bose-Einstein condensate and investigate the effects of finite temperature (T ) on ground-state phase
diagram. calculate roton gap as function Raman coupling (Ω) or quadratic
Zeeman field strength (ε) to extract critical points separating supersolid stripe
phase from plane wave zero-momentum phase at temperatures. present
a...

We propose a scheme to initiate and examine Rayleigh-Taylor instability in the two species Bose-Einstein condensates. identify $^{85}$Rb-$^{87}$Rb mixture as an excellent candidate observe it experimentally. The is initiated by tuning $^{85}$Rb-$^{85}$Rb interaction through magnetic Feshbach resonance. show that observable signature of damping radial oscillation. This would perhaps be one best controlled experiments on instability. also semi analytic determinate stationary state binary...

We study a spin-orbit (SO)-coupled hyperfine spin-1 Bose-Einstein condensate (BEC) in quasi-one-dimensional trap. For an SO-coupled BEC one-dimensional box, we show that the absence of Rabi term, any nonzero value SO coupling will result phase separation among components for ferromagnetic BEC, like $^{87}\mathrm{Rb}$. On other hand, favors miscibility polar $^{23}\mathrm{Na}$. In presence harmonic trap, which miscibility, separates, provided SO-coupling strength and number atoms are greater...

We study the formation of bound states and three-component bright vector solitons in a quasi-one-dimensional spin–orbit-coupled hyperfine spin f = 1 Bose–Einstein condensate using numerical solution variational approximation mean-field model. In antiferromagnetic domain, solutions are time-reversal symmetric, component densities have multi-peak structure. ferromagnetic violate symmetry, single-peak The dynamics system not Galelian invariant. From an analysis invariance, we establish that...

Five-component minimum-energy bound states and mobile vector solitons of a spin-orbit-coupled quasi-one-dimensional hyperfine-spin-2 Bose-Einstein condensate are studied using the numerical solution variational approximation mean-field model. Two distinct types solutions with single-peak multipeak density distribution components identified in different domains interaction parameters. From an analysis Galilean invariance time-reversal symmetry Hamiltonian, we establish that preserve symmetry,...

We study theoretically the collective excitations of a spin-orbit-coupled spin-1 Bose-Einstein condensate with antiferromagnetic spin-exchange interactions in cigar-shaped trapping potential at zero and finite temperatures using Hartree-Fock-Bogoliubov theory Popov approximation. The modes temperature are corroborated by real-time evolution ground state subjected to perturbation suitable excite density or spin mode. also calculate few low-lying analytically find very good agreement numerical...

We show that the third Goldstone mode, which emerges in binary condensates at phase separation, persists to higher interspecies interaction for density profiles where one component is surrounded on both sides by other component. This not case with symmetry-broken species entirely left and right. We, then, use Hartree-Fock-Bogoliubov theory Popov approximation examine mode evolution $T\ensuremath{\ne}0$ demonstrate existence of bifurcation near critical temperature. The Kohn however, exhibits...

We study the formation of a stable self-trapped spherical quantum ball in binary Bose-Einstein condensate (BEC) with two-body inter-species attraction and intra-species repulsion employing beyond-mean-field Lee-Huang-Yang three-body interactions. find that either these interactions or combination can stabilize BEC very similar stationary results, for complete description problem both terms should be considered. These lead to higher-order nonlinearities, e.g. quartic quintic, respectively,...

We show that the ground state interface geometry of binary condensates in phase-separated regime undergoes a smooth transition from planar to ellipsoidal cylindrical geometry. This occurs for with repulsive interactions as trapping potential is changed prolate oblate. The correct emerges when energy included minimization, whereas minimization based on Thomas–Fermi approximation gives incorrect and geometries have less area minimize energy. These are preferred states cigar- pan-cake-shaped...

We study the ground-state density profile of a spin-orbit-coupled $f=2$ spinor condensate in quasi-one-dimensional trap. The Hamiltonian system is invariant under time reversal but not parity. identify different parity- and time-reversal symmetry-breaking states. symmetry breaking possible for degenerate A phase separation among densities components domain breaking. Different types states are predicted analytically studied numerically. employ numerical approximate analytic solutions...

We demonstrate that the ground state of a trapped spin-1 and spin-2 spinor ferromagnetic Bose-Einstein condensate (BEC) can be well approximated by single decoupled Gross-Pitaevskii (GP) equation. Useful analytic models for ground-state densities BECs are obtained from Thomas-Fermi approximation (TFA) to this Similarly, states antiferromagnetic cyclic BECs, some spin-component zero, which reduces coupled GP equation simple reduced form. Analytic also TFA respective equations. The illustrated...

Close to the superfluid plane-wave (PW)--supersolid stripe (ST) phase transition point of a zero-temperature quasi-one-dimensional spin-orbit-coupled Bose gas, we find that an increase in temperature induces supersolid with broken translational symmetry from phase. We use Hartree-Fock-Bogoliubov theory Popov approximation investigate effect thermal fluctuations on collective excitation spectrum and softening spin-dipole mode corresponding shift quantum critical point. This is stark contrast...

We study supersolid-like crystalline structures emerging in the stationary states of a quasi-two-dimensional spin-orbit (SO)-coupled spin-2 condensate ferromagnetic, cyclic, and antiferromagnetic phases by solving mean-field model. Interplay different strengths SO coupling interatomic interactions gives rise to variety nontrivial density patterns emergent solutions. For small SO-coupling $\ensuremath{\gamma}$ $(\ensuremath{\gamma}\ensuremath{\approx}0.5)$, ground state is an axisymmetric...

Motivated by recent experiments [Chen et al., Phys. Rev. Lett. 121, 113204 (2018); Chen 250401 (2018)], we investigate the low-lying excitation spectrum of ground-state phases spin-orbital-angular-momentum-coupled (SOAM-coupled) spin-1 condensates. At vanishing detuning, a ferromagnetic SOAM-coupled Bose-Einstein condensate (BEC) can have two phases, namely, coreless and polar-core vortex states, whereas an antiferromagnetic BEC supports only solution. The angular momentum per particle,...

We study the dynamics of a single and pair vortices in quasi two-dimensional Bose-Einstein condensates at finite temperatures. use stochastic Gross-Pitaevskii equation, which is Langevin equation for condensate, to this end. For vortices, we both vortex-vortex vortex-antivortex pairs, are generated by rotating trap moving Gaussian obstacle potential, respectively. Due thermal fluctuations, constituent not symmetrically with respect each other This initial asymmetry coupled presence random...

Vortex dipoles are generated when an obstacle moves through a superfluid. In case of phase-separated binary condensates, with appropriate interaction parameters in pan-cake shaped traps, we show that coreless vortex created Gaussian beam traverses across them above critical speed. As the passes inner component, it carries along bubble outer component. Using Thomas-Fermi approximation, condensates can either support vortices empty or filled cores. For time dependent potentials, ramped down...

We theoretically explore the annihilation of vortex dipoles, generated when an obstacle moves through oblate Bose–Einstein condensate, and examine energetics event. show that grey soliton, which results from dipole annihilation, is lower in energy than dipole. also investigate events numerically observe occurs only overtakes comes closer coherence length. Furthermore, we find noise reduces probability events. This may explain lack experimental realizations.