Bose-Einstein condensation: Twenty years after

Abstract

The aim of this introductory article is two-fold. First, we aim to offer a general introduction to the theme of Bose-Einstein condensates, and briefly discuss the evolution of a number of relevant research directions during the last two decades. Second, we introduce and present the articles that appear in this Special Volume of Romanian Reports in Physics celebrating the conclusion of the second decade since the experimental creation of Bose-Einstein condensation in ultracold gases of alkali-metal atoms.

arXiv commentSpecial Volume of Romanian Reports in Physics dedicated to Bose-Einstein condensation

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• Extreme tunability of interactions in a ${}^7$Li Bose-Einstein condensate
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• Dual-Species Bose-Einstein Condensate of ${}^{87}$Rb and ${}^{133}$Cs
• Structure of binary Bose-Einstein condensates
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• Observation of Tkachenko Oscillations in Rapidly Rotating Bose-Einstein Condensates
• Observation of Long-lived Vortex Aggregates in Rapidly Rotating Bose-Einstein Condensates
• Vortex Formation by Interference of Multiple Trapped Bose-Einstein Condensates
• Nanometer-scale spatial modulation of an inter-atomic interaction in a Bose-Einstein condensate
• Controlling phase separation of binary Bose-Einstein condensates via mixed-spin-channel Feshbach resonance
• Nonlinear dynamics for vortex lattice formation in a rotating Bose-Einstein condensate
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• Matter-wave gap solitons in atomic bandgap structures
• Characteristics of Two-Dimensional Quantum Turbulence in a Compressible Superfluid
• Dark-dark solitons and modulational instability in miscible, two-component Bose-Einstein condensates
• Controlled formation and reflection of a bright solitary matter-wave
• Rotary solitons in Bessel photonic lattices
• Dicke-type phase transition in a spin-orbit coupled Bose-Einstein condensate
• Heavy Solitons in a Fermionic Superfluid
• Tunable Landau-Zener transitions in a spin-orbit coupled Bose-Einstein condensate
• Quantum computations with atoms in optical lattices: marker qubits and molecular interactions
• A Bright Solitonic Matter-Wave Interferometer
• Controlling a magnetic Feshbach resonance with laser light
• Macroscopic quantum computation using Bose-Einstein condensates
• Observation of Solitonic Vortices in Bose-Einstein Condensates
• Coherent disintegration and stability of vortices in trapped Bose condensate
• Quantum Computation with a One-Dimensional Optical Lattice
• A large magnetic storage ring for Bose-Einstein condensates
• Motion of a Solitonic Vortex in the BEC-BCS Crossover
• Controllable soliton emission from a Bose-Einstein condensate
• Matter-wave solitons of collisionally inhomogeneous condensates
• Bose-Einstein condensation dynamics from the numerical solution of the Gross-Pitaevskii equation
• Breakdown of time-dependent mean-field theory for a one-dimensional condensate of impenetrable bosons
• Vortex stability of interacting Bose-Einstein condensates confined in anisotropic harmonic traps
• Multiple atomic dark solitons in cigar-shaped Bose-Einstein condensates
• Observation of Hybrid Soliton Vortex-Ring Structures in Bose-Einstein Condensates
• Time-Averaged Adiabatic Potentials: Versatile traps and waveguides for ultracold quantum gases
• The nucleation, growth and stabilization of vortex lattices
• Many-body solitons in a one-dimensional condensate of hard core bosons
• Nonlinearity Management in Optics: Experiment, Theory, and Simulation
• Guided Quasicontinuous Atom Laser
• Vortex stability in nearly two-dimensional Bose-Einstein condensates with attraction
• Beating dark-dark solitons in Bose-Einstein condensates
• Stable Vortex-Bright Soliton Structures in Two-Component Bose Einstein Condensates
• Controlling Condensate Collapse and Expansion with an Optical Feshbach Resonance
• Dynamics of Few Co-rotating Vortices in Bose-Einstein Condensates
• Fully three dimensional breather solitons can be created using Feshbach resonance
• Two-point density correlations of quasicondensates in free expansion
• Faraday waves in Bose-Einstein condensates
• Dynamics of Dark-Bright Solitons in Cigar-Shaped Bose-Einstein Condensates
• Twisted toroidal vortex-solitons in inhomogeneous media with repulsive nonlinearity
• Structural phase transitions of vortex matter in an optical lattice
• Averaging For Solitons With Nonlinearity Management
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• Soliton gyroscopes in media with spatially growing repulsive nonlinearity
• The dynamics of dark solitons in a trapped superfluid Fermi gas
• Rabi flopping induces spatial demixing dynamics
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• A pumped atom laser
• Transmission of matter wave solitons through nonlinear traps and barriers
• Extended Thomas-Fermi Density Functional for the Unitary Fermi Gas
• Superconducting Vortex Lattices for Ultracold Atoms
• Numerical study of the spherically-symmetric Gross-Pitaevskii equation in two space dimensions
• Dark solitons in a superfluid Fermi gas
• Spontaneous pattern formation in an anti-ferromagnetic quantum gas
• Two-dimensional loosely and tightly bound solitons in optical lattices and inverted traps
• A pulsed atomic soliton laser
• Globally-Linked Vortex Clusters in Trapped Wave Fields
• Analysis of an atom laser based on the spatial control of the scattering length
• Permanent magnetic lattices for ultracold atoms and quantum degenerate gases
• Faraday waves in binary non-miscible Bose-Einstein condensates
• Detecting phonons and persistent currents in toroidal Bose-Einstein condensates by means of pattern formation
• Multipole-mode solitons in Bessel optical lattices
• Parametric excitation of a Bose-Einstein condensate in a 1D optical lattice
• Stability of multiquantum vortices in dilute Bose-Einstein condensates
• Dynamics of Vortex Formation in Merging Bose-Einstein Condensate Fragments
• Collisions of bright solitary matter waves
• A vortex dipole in a trapped two-dimensional Bose-Einstein condensate
• Adiabatic Compression of Soliton Matter Waves
• Faraday patterns in dipolar Bose-Einstein condensates
• Three-dimensional hybrid vortex solitons
• Three-Dimensional Nonlinear Lattices: From Oblique Vortices and Octupoles to Discrete Diamonds and Vortex Cubes
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• Trapping and transmission of matter-wave solitons in a collisionally inhomogeneous environment
• Effective Nonlinear Schrödinger Equations for Cigar-Shaped and Disk-Shaped Fermi Superfluids at Unitarity
• Resonant tunneling of Bose-Einstein condensates in optical lattices
• Modulational instability in a layered Kerr medium: Theory and Experiment
• Periodic Array of Bose-Einstein condensates in a Magnetic Lattice
• Low-density, one-dimensional quantum gases in a split trap
• Soliton oscillations in collisionally inhomogeneous attractive Bose-Einstein condensates
• Stable three-dimensional solitons in attractive Bose-Einstein condensates loaded in an optical lattice
• Faraday waves in collisionally inhomogeneous Bose-Einstein condensates
• Mach-Zehnder interferometry with interacting trapped Bose-Einstein condensates
• Grey solitons in a strongly interacting superfluid Fermi Gas
• Faraday patterns in coupled one-dimensional dipolar condensates
• Exploring Vortex Dynamics in the Presence of Dissipation: Analytical and Numerical Results
• Exploring Rigidly Rotating Vortex Configurations and their Bifurcations in Atomic Bose-Einstein Condensates
• Superfluid Fermi-Fermi mixture: phase diagram, stability, and soliton formation
• Nonlinear quantum piston for the controlled generation of vortex rings and soliton trains
• Faraday waves in quasi-one-dimensional superfluid Fermi-Bose mixtures
• Small Numbers of Vortices in Anisotropic Traps
• Stability and dynamics of matter-wave vortices in the presence of collisional inhomogeneities and dissipative perturbations
• Ultra-Fast Converging Path-Integral Approach for Rotating Ideal Bose-Einstein Condensates
• Ground state of two-component degenerate fermionic gases
• Faraday waves in elongated superfluid fermionic clouds
• Recursive Schr\" odinger Equation Approach to Faster Converging Path Integrals
• Three-dimensional matter-wave vortices in optical lattices
• A Tale of Two Distributions: From Few To Many Vortices In Quasi-Two-Dimensional Bose-Einstein Condensates
• Suppression of Faraday waves in a Bose-Einstein condensate in the presence of an optical lattice
• Penetration of a vortex dipole across an interface of Bose-Einstein condensates
• Collisional-inhomogeneity-induced generation of matter-wave dark solitons
• Dynamic and Energetic Stabilization of Persistent Currents in Bose-Einstein Condensates
• Skyrmion-like excitations in dynamical lattices
• Density ripples in expanding low-dimensional gases as a probe of correlations
• Few-Particle Vortex Cluster Equilibria in Bose-Einstein Condensates: Existence and Stability
• An Analytical Window into the World of Ultracold Atoms
• Stationary vortex flows and macroscopic Zeno effect in Bose-Einstein condensates with localized dissipation
• Statistical models of nonequilibrium Bose gases
• Analytical results on quantum correlations of few bosons in a double-well trap

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• Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
• Existence and asymptotic behavior of normalized ground states for Sobolev critical Schrödinger systems
• Spinor-Induced Instability of Kinks, Holes and Quantum Droplets
• Optical solitons in media with focusing and defocusing saturable nonlinearity and a parity-time-symmetric external potential
• Localized modes in the Gross-Pitaevskii equation with a parabolic trapping potential and a nonlinear lattice pseudopotential
• Topology of Quantum Grey Soliton in Multi-Component Inhomogeneous Bose-Einstein Condensates
• Solitonic fixed point attractors in the complex Ginzburg-Landau equation for associative memories
• Power-law localization in one-dimensional systems with nonlinear disorder under fixed input conditions