We study the dynamics of vortex lattice formation a rotating trapped Bose-Einstein condensate by numerically solving two-dimensional Gross-Pitaevskii equation, and find that undergoes elliptic deformation, followed unstable surface-mode excitations before forming quantized lattice. The origin peculiar is identified to be phase fluctuations at low-density surface regime. obtained dependence distortion parameter on time driving frequency agree with recent experiments Madison et al. [Phys. Rev....

We investigate the structure of vortex states in rotating two-component Bose-Einstein condensates with equal intracomponent but varying intercomponent-coupling constants. A phase diagram versus rotation-frequency plane reveals rich equilibrium structures states. As ratio intercomponent to couplings increases, interlocked lattices undergo transitions from triangular square, double-core lattices, and eventually develop interwoven "serpentine" sheets each component made up chains singly...

We study the response of a trapped Bose-Einstein condensate to sudden turn-on rotating drive by solving two-dimensional Gross-Pitaevskii equation. A weakly anisotropic potential excites quadrupole shape oscillation and its time evolution is analyzed quasiparticle projection method. simple recurrence surface mode populations broken in resonance region that depends on trap anisotropy, causing stochastization dynamics. In presence phenomenological dissipation, an initially irrotational found...

A fast rotating Bose-Einstein condensate confined in a quadratic-plus-quartic potential is found to dynamically generate "giant vortex" that absorbs all phase singularities into central low density hole, thereby sustaining quasi-one-dimensional circular superflow at supersonic speed.

We review the topic of quantized vortices in multicomponent Bose-Einstein condensates dilute atomic gases, with an emphasis on that two-component condensates. First, we fundamental structure, stability and dynamics a single vortex state slowly rotating To understand recent experimental results, use coupled Gross-Pitaevskii equations generalized nonlinear sigma model. An axisymmetric state, which was observed by JILA group, can be regarded as topologically trivial skyrmion pseudospin...

We investigate two kinds of coreless vortices with axisymmetric and nonaxisymmetric configurations in rotating two-component Bose-Einstein condensates. Starting from the Gross-Pitaevskii energy functional a frame, we derive nonlinear sigma model generalized to In terms pseudospin representation, an vortex one correspond spin textures referred as ``skyrmion'' ``meron-pair,'' respectively. A variational method is used dependence sizes stable on system parameters, optimized function found...

A vortex molecule is predicted in rotating two-component Bose-Einstein condensates whose internal hyperfine states are coupled coherently by an external field. one component and that the other connected a domain wall of relative phase, constituting "vortex molecule", which features nonaxisymmetric (pseudo)spin texture with pair merons. The binding mechanism discussed based on generalized nonlinear sigma model variational ansatz. anisotropy molecules caused difference scattering lengths,...

The dynamics of multiple domain formation caused by the modulation instability two-component Bose-Einstein condensates in an axially symmetric trap are studied numerically integrating coupled Gross-Pitaevskii equations. induced intercomponent mean-field coupling occurs out-of-phase fluctuation wave function and leads to domains that alternate from one another, where phase component jumps across density dips other exist. This behavior is analogous a soliton train, which explains origin long...

We theoretically study the Kelvin-Helmholtz instability in phase-separated two-component Bose-Einstein condensates using Gross-Pitaevskii and Bogoliubov-de Gennes models. A flat interface between two is shown to deform into sawtooth or Stokes-type waves, leading formation of singly quantized vortices on peaks troughs waves. This scenario quantum fluids quite different from that classical fluids.

We study the asymptotic interaction between two half-quantized vortices in two-component Bose-Einstein condensates. When different components are placed at distance $2R$, leading order of force them is found to be $(\mathrm{ln}R/\ensuremath{\xi}\ensuremath{-}1/2)/{R}^{3}$, contrast $1/R$ same component. derive it analytically using Abrikosov ansatz and profile functions vortices, confirmed numerically with Gross-Pitaevskii model. also find that short-range cutoff intervortex potential...

We investigate nonlinear dynamics induced by the modulation instability of a two-component mixture in an atomic Bose-Einstein condensate. The is examined using numerical simulations time-dependent coupled Gross-Pitaevskii equations. unstable grows from initially miscible condensates into various types vector solitary waves, depending on combinations sign coupling constants (intracomponent and intercomponent). discuss detailed features instability, wave formation, analogy with collapsing...

We investigate vortex states of immiscible two-component Bose-Einstein condensates under rotation through numerical simulations the coupled Gross-Pitaevskii equations. For strong intercomponent repulsion, two components undergo phase separation to form several density domains same component. In presence rotation, nucleated vortices are aligned between make up winding chains singly quantized vortices, a sheet, instead periodic lattices. The one component located at region other component,...

Dynamical instabilities at the interface between two Bose-Einstein condensates that are moving relative to each other investigated using mean-field and Bogoliubov analyses. Kelvin-Helmholtz instability is dominant when thickness much smaller than wavelength of unstable mode, whereas counter-superflow becomes in opposite case. These emerge not only an immiscible system but also a miscible where produced by external potential. Dynamics caused these numerically demonstrated rotating trapped condensates.

We present a theoretical study of quantum simulations $(1+1)$-dimensional U(1) lattice gauge-Higgs models, which contain compact gauge field and Higgs matter field, by using ultra-cold bosonic gases on one-dimensional optical lattice. Starting from the extended Bose-Hubbard model with on-site nearest-neighbor interactions, we derive as low-energy effective theory. The derived exhibits nontrivial phase transitions between confinement phases, discuss relation transition in model. Finally,...

We study the interaction and dynamics of two half-quantized vortices in two-component Bose-Einstein condensates. Using Pad\'e approximation for vortex core profile, we calculate intervortex potential, whose asymptotic form a large distance has been derived by Eto et al. [Phys. Rev. A 83, 063603 (2011)]. Through numerical simulations two-dimensional Gross-Pitaevskii equations, reveal different kinds dynamical trajectories depending on combinations signs circulations intercomponent density...

We have studied a Bose-Einstein condensate of 87 Rb atoms under an oscillatory excitation.For fixed frequency excitation, we explored how the values amplitude and time excitation must be combined in order to produce quantum turbulence condensate.Depending on combination these parameters different behaviors are observed sample.For lowest observe bending main axis cloud.Increasing increasing number vortices.The vortex state can evolve into turbulent regime if driven up certain set...

We study a mechanism to create vorton or three-dimensional skyrmion in phase-separated two-component BECs with the order parameters ${\ensuremath{\Psi}}_{1}$ and ${\ensuremath{\Psi}}_{2}$ of two condensates. consider pair domain wall (brane) an antidomain (antibrane) stretched by vortices (strings), where component vortex winding is sandwiched domains component. The vortons appear when annihilates. Experimentally, this can be realized preparing phase separation ${\ensuremath{\Psi}}_{1}$,...

Recently, the possibility of quantum simulation dynamical gauge fields was pointed out by using a system cold atoms trapped on each link in an optical lattice. However, to implement exact local invariance, fine-tuning interaction parameters among is necessary. In present paper, we study effect violation U(1) invariance relaxing and showing that wide variety still be faithful simulator for gauge-Higgs model containing Higgs field sitting sites. Clarification dynamics this sheds some lights...

We study composite solitons, consisting of domain walls and vortex lines attaching to the in two-component Bose-Einstein condensates. When total density two components is homogeneous, system can be mapped O(3) nonlinear $\ensuremath{\sigma}$ model for pseudospin representing order parameter, analytical solutions solitons obtained. Based on solutions, we discuss detailed structure condensates by employing generalized model, where all degrees freedom original Gross-Pitaevskii theory are...

One-dimensional polar gases in deep optical lattices present a severely constrained dynamics due to the interplay between dipolar interactions, energy conservation, and finite bandwidth. The appearance of dynamically bound nearest-neighbor dimers enhances role 1/r^{3} tail, resulting absence external disorder, quasi-localization via dimer clustering for very low densities moderate dipole strengths. Furthermore, even weak dipoles allow formation self-bound superfluid lattice droplets with...

We study theoretically the nonlinear dynamics induced by shear-flow instability in segregated two-component Bose-Einstein condensates terms of Weber number, which is defined extending past theory on Kelvin-Helmholtz classical fluids. Numerical simulations Gross-Pitaevskii equations demonstrate that pattern formation well characterized number We, clarifying microscopic aspects unique to quantum fluid system. For We≲1, induces flutter-finger patterns interface and quantized vortices are...

We show theoretically that a domain-wall annihilation in two-component Bose-Einstein condensates causes tachyon condensation accompanied by spontaneous symmetry breaking two-dimensional subspace. Three-dimensional vortex formation from annihilations is considered kink Numerical experiments reveal the subspatial dynamics obey dynamic scaling law of phase-ordering kinetics. This model experimentally feasible and provides insights into how extra dimensions influence phase transition...

Lattice gauge theory has provided a crucial non-perturbative method in studying canonical models high-energy physics such as quantum chromodynamics. Among other of lattice theory, the gauge–Higgs model is quite important one because it describes wide variety phenomena/models related to Anderson–Higgs mechanism, superconductivity, standard particle physics, and inflation process early Universe. In this paper, we first show that atomic description allows us explore real-time dynamics variables...

We study pattern-forming nonlinear dynamics starting from a continuous wave state of quasi-one-dimensional two-component Bose-Einstein condensates with synthetic spin-orbit coupling induced by Raman lasers. Modulation instability can occur even when the miscibility condition due to interatomic interactions is satisfied. find that initial stage development consistent prediction modulation instability, where two primary and secondary bands lead spontaneous growth subsequent complicated pattern...

We numerically study the dynamics of vortex lattice formation in a rotating cigar-shaped Bose-Einstein condensate. The is three-dimensional simulation Gross-Pitaevskii equation with phenomenological dissipation term. simulations reveal previously unknown dynamical features nucleation process, which condensate undergoes strongly turbulent stage and penetrating lines vibrate rapidly. vibrations arise from spontaneous excitation Kelvin waves on protovortices during surface wave instability,...