Fragmentation of Bose-Einstein Condensates

Abstract

We present the theory of bosonic systems with multiple condensates, unifying disparate models which are found in the literature, and discuss how degeneracies, interactions, and symmetries conspire to give rise to this unusual behavior. We show that as degeneracies multiply, so do the types of fragmentation, eventually leading to strongly correlated states with no trace of condensation.

16 pages, 1 figure, revtex4

References in corpus (46)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Direct Observation of Tunneling and Nonlinear Self-Trapping in a single Bosonic Josephson Junction
• Bose-Einstein condensation of chromium
• Transition from a strongly interacting 1D superfluid to a Mott insulator
• Exciting Collective Oscillations in a Trapped 1D Gas
• Quantum Phases of Vortices in Rotating Bose-Einstein Condensates
• Rapidly Rotating Bose-Einstein Condensates in and near the Lowest Landau Level
• Observation of spinor dynamics in optically trapped 87Rb Bose-Einstein Condensates
• Dynamics of F=2 Spinor Bose-Einstein Condensates
• Bose-Einstein Condensates with Large Number of Vortices
• Stability and phase coherence of trapped 1D Bose gases
• 1/2-Anyons in small atomic Bose-Einstein condensates
• Direct, Non-Destructive Imaging of Magnetization in a Spin-1 Bose Gas
• Interference of an array of independent Bose-Einstein condensates
• Quantum Hall fractions in rotating Bose-Einstein condensates
• Coherent spin mixing dynamics in a spin-1 atomic condensate
• Noise Thermometry with Two Weakly Coupled Bose-Einstein Condensates
• Theory of spin-2 Bose-Einstein condensates: spin-correlations, magnetic response, and excitation spectra
• Quantum phase transition in one-dimensional Bose-Einstein condensates with attractive interactions
• Sodium Bose-Einstein Condensates in the F=2 State in a Large-volume Optical Trap
• Superfluidity and Swallowtails; Hysteretic Behavior in Bose Condensates
• Experimental studies of equilibrium vortex properties in a Bose-condensed gas
• Vortex core structure and global properties of rapidly rotating Bose-Einstein condensates
• Ground-state properties of hard core bosons in one-dimensional harmonic traps
• Spontaneous magnetization and structure formation in a spin-1 ferromagnetic Bose-Einstein condensate
• Symmetry Breaking and Enhanced Condensate Fraction in a Matter-Wave Bright Soliton
• Deconfinement in a 2D optical lattice of coupled 1D boson systems
• Ground state fragmentation of repulsive BEC in double-trap potentials
• Quantum Hall states and boson triplet condensate for rotating spin-1 bosons
• Bose-Einstein condensates with attractive interactions on a ring
• Vortex lattices in rapidly rotating Bose-Einstein condensates: modes and correlation functions
• Stability of the quantized circulation of an attractive Bose-Einstein condensate in a rotating torus
• Production of a chromium Bose-Einstein condensate
• Imaging of spinor gases
• Fermionizing a small gas of ultracold bosons
• Low-Energy Properties of a One-dimensional System of Interacting bosons with Boundaries
• Natural Orbitals and BEC in traps, a diffusion Monte Carlo analysis
• Surface modes of ultracold atomic clouds with very large number of vortices
• Continuous configuration-interaction for condensates in a ring
• Edge excitations and Topological orders in rotating Bose gases
• Energy gaps and roton structure above the nu=1/2 Laughlin state of a rotating dilute Bose-Einstein condensate
• Effectively attractive Bose-Einstein condensates in a rotating toroidal trap
• Fragmented Condensate Ground State of Trapped Weakly Interacting Bosons in Two Dimensions
• Properties of fragmented repulsive condensates
• Adiabatic and non-adiabatic merging of independent Bose condensates
• On interacting fermions and bosons with definite total momentum

Cited by in corpus (228)

• One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
• Spinor Bose-Einstein condensates
• Topological Bands for Ultracold Atoms
• Orbital superfluidity in the $P$-band of a bipartite optical square lattice
• Symmetry breaking and quantum correlations in finite systems: Studies of quantum dots and ultracold Bose gases and related nuclear and chemical methods
• Cold Bosons in Optical Lattices
• Exact quantum dynamics of a bosonic Josephson junction
• Vortices in spin-orbit-coupled Bose-Einstein condensates
• Multiconfigurational time-dependent Hartree approaches for indistinguishable particles
• Beating the classical precision limit with spin-1 Dicke state of more than 10000 atoms
• Quantum turbulence in trapped atomic Bose-Einstein condensates
• A unified ab-initio approach to the correlated quantum dynamics of ultracold fermionic and bosonic mixtures
• Comparing and contrasting nuclei and cold atomic gases
• Quench Dynamics and Orthogonality Catastrophe of Bose Polarons
• Direct measurement of polariton-polariton interaction strength in the Thomas-Fermi regime of exciton-polariton condensation
• Generalized Bose-Einstein condensation into multiple states in driven-dissipative systems
• The multiconfigurational time-dependent Hartree method for bosons with internal degrees of freedom: Theory and composite fragmentation of multi-component Bose-Einstein condensates
• Vortices in quantum droplets: Analogies between boson and fermion systems
• A measurement-based measure of the size of macroscopic quantum superpositions
• Fragmented many-body ground states for scalar bosons in a single trap
• Correlation Effects in the Quench-Induced Phase Separation Dynamics of a Two-Species Ultracold Quantum Gas
• Bose-Einstein condensation and gauge symmetry breaking
• Parametric Excitation of a Bose-Einstein Condensate: From Faraday Waves to Granulation
• Condensate fragmentation as a sensitive measure of the quantum many-body behavior of bosons with long-range interactions
• Symmetry classification of spin-orbit coupled spinor Bose-Einstein condensates
• MCTDH-X: The multiconfigurational time-dependent Hartree method for indistinguishable particles software
• Ground-state phases of ultracold bosons with Rashba-Dresselhaus spin-orbit coupling
• Phase diagram of incoherently driven strongly correlated photonic lattices
• Non-Abelian magnetic monopole in a Bose-Einstein condensate
• Negative quench induced excitation dynamics for ultracold bosons in one-dimensional lattices
• Evolutionary games of condensates in coupled birth-death processes
• Quantum dynamics of attractive versus repulsive bosonic Josephson junctions: Bose-Hubbard and full-Hamiltonian results
• Condensed Groundstates of Frustrated Bose-Hubbard Models
• Incommensurate superfluidity of bosons in a double-well optical lattice
• Quantum turbulence in quantum gases
• Dark-Bright Soliton Dynamics Beyond the Mean-Field Approximation
• Universality of Fragmentation in the Schrödinger Dynamics of Bosonic Josephson Junctions
• Order parameter and detection for crystallized dipolar bosons in lattices
• Realizing Quantum Materials with Helium: Helium films at ultralow temperatures, from strongly correlated atomically layered films to topological superfluidity
• Cold bosons in optical lattices: a tutorial for Exact Diagonalization
• Production and characterization of a fragmented spinor Bose-Einstein condensate
• Death of soliton trains in attractive Bose-Einstein condensates
• Superfluid--Mott insulator transition of ultracold superradiant bosons in a cavity
• Many-Body Expansion Dynamics of a Bose-Fermi Mixture Confined in an Optical Lattice
• Phases, many-body entropy measures and coherence of interacting bosons in optical lattices
• Fractional charge pumping of interacting bosons in one-dimensional superlattice
• Many-Body Quantum Dynamics in the Decay of Bent Dark Solitons of Bose-Einstein Condensates
• Quantum systems of ultra-cold bosons with customized inter-particle interactions
• Tunneling decay of two interacting bosons in an asymmetric double-well potential: A spectral approach
• Collective excitation frequencies and stationary states of trapped dipolar Bose-Einstein condensates in the Thomas-Fermi regime
• Many-body tunneling dynamics of Bose-Einstein condensates and vortex states in two spatial dimensions
• Optical realization of the two-site Bose-Hubbard model in waveguide lattices
• Time-dependent multi-orbital mean-field for fragmented Bose-Einstein condensates
• Excitonic Condensate in Flat Valence and Conduction Bands of Opposite Chirality
• Spatiotemporal coherence of non-equilibrium multimode photon condensates
• Mode coupling of interaction quenched ultracold few-boson ensembles in periodically driven lattices
• Correlations of strongly interacting ultracold dipolar bosons in optical lattices
• Bose-Einstein condensates in toroidal traps: instabilities, swallow-tail loops, and self-trapping
• Entanglement between particle partitions in itinerant many-particle states
• Revealing single-trap condensate fragmentation by measuring density-density correlations after time of flight
• Fragmented condensation in Bose-Hubbard trimers with tunable tunnelling
• Breaking the resilience of a two-dimensional Bose-Einstein condensate to fragmentation
• Interacting trapped bosons yield fragmented condensate states in low dimensions
• Generic regimes of quantum many-body dynamics of trapped bosonic systems with strong repulsive interactions
• Many-Body Dissipative Flow of a Confined Scalar Bose-Einstein Condensate Driven by a Gaussian Impurity
• Many-body physics in two-component Bose-Einstein condensates in a cavity: fragmented superradiance and polarization
• Particle partitioning entanglement in itinerant many-particle systems
• Polaron Problems in Ultracold Atoms: Role of a Fermi Sea across Different Spatial Dimensions and Quantum Fluctuations of a Bose Medium
• Measure synchronization in quantum many-body systems
• Excitation spectra of many-body systems by linear response: General theory and applications to trapped condensates
• Antiferromagnetic Spinor Condensates are Quantum Rotors
• Observing quantum non-locality in the entanglement between modes of massive particles
• Direct Observation of Fragmentation in a Disordered, Strongly Interacting Fermi Gas
• "Photonic" cat states from strongly interacting matter waves
• Vortex nucleation through fragmentation in a stirred resonant Bose-Einstein condensate
• Fractional Quantum Hall states in the vicinity of Mott plateaus
• Entanglement, coherence, and redistribution of quantum resources in double spontaneous downconversion processes
• Correlation versus commensurability effects for finite bosonic systems in one-dimensional lattices
• Multispecies time-dependent restricted-active-space self-consistent-field theory for ultracold atomic and molecular gases
• On-top fragmentation stabilizes atom-rich attractive Bose-Einstein condensates
• Purity oscillations in Bose-Einstein condensates with balanced gain and loss
• Formation and dynamics of many-boson fragmented states in attractive one-dimensional ultra-cold gases
• Detecting One-Dimensional Dipolar Bosonic Crystal Orders via Full Distribution Functions
• Controlling the Velocities and Number of Emitted Particles in the Tunneling to Open Space Dynamics
• NOON state of Bose atoms in the double-well potential via an excited state quantum phase transition
• Spin fragmentation of Bose-Einstein condensates with antiferromagnetic interactions
• Lotka-Volterra population dynamics in coherent and tunable oscillators of trapped polariton condensates
• Pairing, Ferromagnetism, and Condensation of a normal spin-1 Bose gas
• Bose-Einstein condensates with balanced gain and loss beyond mean-field theory
• Harmonically Trapped Atoms with Spin-Orbit Coupling
• Bosonic integer quantum Hall states in topological bands with Chern number two
• Fragmented Cooper pair condensation in striped superconductors
• Variance of an anisotropic Bose-Einstein condensate
• Dynamical symmetry in spinor Bose-Einstein condensates
• Bogoliubov depletion of the fragmented condensate in the bosonic flux ladder
• Quantum anomalous Hall effect and electric-field-induced topological phase transition in AB-stacked MoTe${}_2$/WSe${}_2$ moiré heterobilayers
• Quantum states of a binary mixture of spinor Bose-Einstein condensates
• Impact of the range of the interaction on the quantum dynamics of a bosonic Josephson junction
• Fermions with attractive interactions on optical lattices and implications for correlated systems
• Many-body excitations and de-excitations in trapped ultracold bosonic clouds
• Phase coherence and fragmentation in weakly interacting bosonic gases
• Ground states of dipolar gases in quasi-1D ring traps
• Quantum rotor theory of spinor condensates in tight traps
• Shortcut to adiabaticity in spinor condensates
• Goldstone-mode Instability leading to Fragmentation in a Spinor Bose-Einstein Condensate
• Fragmentation and correlations in a rotating Bose-Einstein condensate undergoing breakup
• Bose-Einstein supersolid phase for a novel type of momentum dependent interaction
• Efficient generation of many-body entangled states by multilevel oscillations
• The superfluid fountain effect in a Bose-Einstein condensate
• Beyond mean-field dynamics of ultra-cold bosonic atoms in higher dimensions: facing the challenges with a multi-configurational approach
• Quantum turbulence in Bose-Einstein condensates: present status and new challenges ahead
• Counterflow dynamics of two correlated impurities immersed in a bosonic gas
• Excitation spectra of fragmented condensates by linear response: General theory and application to a condensate in a double-well potential
• Exact eigenstates of multicomponent Hubbard models: SU($N$) magnetic $\eta$ pairing, weak ergodicity breaking, and partial integrability
• Symmetry-conserving vortex clusters in small rotating clouds of ultracold bosons
• Majorana representation of adiabatic and superadiabatic processes in three-level systems
• Many-body quantum dynamics of an asymmetric bosonic Josephson junction
• Fragmented Many-Body states of definite angular momentum and stability of attractive 3D Condensates
• Squeezed Ground States in a Spin-1 Bose-Einstein Condensate
• Emergence of a new pair-coherent phase in many-body quenches of repulsive bosons
• Energy and wave-action flows underlying Rayleigh-Jeans thermalization of optical waves propagating in a multimode fiber
• Optimal and near-optimal probe states for quantum metrology of number conserving two-mode bosonic Hamiltonians
• Finite Temperature Phases of Two Dimensional Spin-Orbit Coupled Bosons
• Emergence of a spin microemulsion in spin-orbit coupled Bose-Einstein condensates
• Momentum-space Harper-Hofstadter model
• Collective Excitations of a Two-Component Bose Condensate at Finite Temperature
• Time-dependent quantum many-body theory of identical bosons in a double well: Early time ballistic interferences of fragmented and number entangled states
• Interspecies singlet pairing in a mixture of two spin-1 Bose condensates
• Photon pair condensation by engineered dissipation
• Attractive Bose-Einstein condensates in anharmonic traps: Accurate numerical treatment and the intriguing physics of the variance
• Generation of atypical hopping and interactions by kinetic driving
• Anderson tower of states and nematic order of spin-1 bosonic atoms on a 2D lattice
• Guiding Trojan light beams via Lagrange points
• Quantum entangled ground states of two spinor Bose-Einstein condensates
• Correlation induced localization of lattice trapped bosons coupled to a Bose-Einstein condensate
• The absence of fragmentation in Bose-Einstein condensates
• Extended Bose-Hubbard model with pair tunneling: spontaneous symmetry breaking, effective ground state and fragmentation
• Bragg spectroscopy of a strongly interacting Bose-Einstein condensate
• The BBGKY hierarchy for ultracold bosonic systems: II. Applications
• Tunneling vortex dynamics in linearly coupled Bose-Hubbard rings
• Finite-temperature phase transitions in quasi-two-dimensional spin-1 Bose gases
• Self-consistent determination of the many-body state of ultracold bosonic atoms in a one-dimensional harmonic trap
• Robustness of fragmented condensate many-body states for continuous distribution amplitudes in Fock space
• Feasibility of Experimental Realization of Entangled Bose-Einstein Condensation
• Atomic number fluctuations in a mixture of two spinor condensates
• Signatures of the BCS-BEC crossover in the yrast spectra of Fermi quantum rings
• Build-up of coherence between initially-independent subsystems: The case of Bose-Einstein condensates
• Quantum and thermal fluctuations in bosonic Josephson junctions
• Collapse of a quantum vortex in an attractive two-dimensional Bose gas
• "Polar" and "antiferromagnetic" order in f=1 many-boson systems
• Mass-imbalance induced structures of binary atomic mixtures in box potentials
• Metastable hard-axis polar state of a spinor Bose-Einstein condensate under a magnetic field gradient
• Fermionized photons in the ground state of one-dimensional coupled cavities
• Density-functional theory for the spin-1 bosons in a one-dimensional harmonic trap
• On a fragmented condensate in a uniform Bose system
• Localization of the relative phase via measurements
• Analogue gravity simulation of superpositions of spacetimes
• Nonclassical states in strongly correlated bosonic ring ladders
• Quantum supremacy of the many-body fluctuations in the occupations of the excited particle states in a Bose-Einstein-condensed gas
• Quantum-Fluctuation-Driven Dynamics of Droplet Splashing, Recoiling and Deposition in Ultracold Binary Bose Gases
• Relaxation of Shannon entropy for trapped interacting bosons with dipolar interactions
• Dynamics of Ultracold Bosons in Artificial Gauge Fields: Angular Momentum, Fragmentation, and the Variance of Entropy
• Spin 1 condensates at thermal equilibrium : a $SU(3)$ coherent state approach
• Number fluctuations of cold spatially split bosonic objects
• Density-density correlation and interference mechanism for two initially independent Bose-Einstein condensates
• The non-Abelian bosonic quantum ring
• Scaling approach to existence of long cycles in Casimir boxes
• Probing Quantum States with Momentum Boosts
• Strongly interacting bosons in 1D disordered lattice: phase coherence of distorted Mott phases
• Quantum correlations of few dipolar bosons in a double-well trap
• On the characterisation of fragmented Bose-Einstein condensation and its emergent effective evolution
• Bosonic Particle-Correlated States: A Nonperturbative Treatment Beyond Mean Field
• Benchmarking the multiconfigurational Hartree method by the exact wavefunction of two harmonically trapped bosons with contact interaction
• Angular momentum in interacting many-body systems hides in phantom vortices
• Condensates Breaking Up Under Rotation
• Variance of a Trapped Bose-Einstein Condensate
• Fragility of the Laughlin state in an anharmonically-trapped Bose-Einstein condensate
• Metastable spin-phase diagrams in antiferromagnetic Bose-Einstein condensates
• Effects Beyond Center-of-Mass Separability in a Trapped Bosonic Mixture: Exact Results
• Disordered Bose-Einstein condensate in hard walls trap
• Disorder effects on the quantum coherence of a many-boson system
• Dynamical revival of phase coherence in a many-boson system
• Assessing small accelerations using a bosonic Josephson junction
• Many-Body Quantum Dynamics of a Bosonic Josephson Junction with a Finite-Range Interaction
• Magnetization Oscillation of a Spinor Condensate Induced by Magnetic Field Gradient
• Yang monopoles and emergent three-dimensional topological defects in interacting bosons
• Uncertainty product of an out-of-equilibrium Bose-Einstein condensate
• Interference of longitudinal and transversal fragmentations in the Josephson tunneling dynamics of Bose-Einstein condensates
• Spatially partitioned many-body vortices
• Many-body effects in a composite bosonic Josephson junction
• Entanglement and correlations in an exactly-solvable model of a Bose-Einstein condensate in a cavity
• Universality in Ultra-Cold Few- and Many-Boson Systems
• Continuous Transition between Bosonic Fractional Chern Insulator and Superfluid
• Stability of spherically trapped three-dimensional Bose-Einstein condensates against macroscopic fragmentation
• Attractive Bose-Einstein Condensates in three dimensions under rotation: Revisiting the problem of stability of the ground state in harmonic traps
• Static properties of two linearly coupled discrete circuits
• Fragmentation of a spin-1 mixture in a magnetic field
• Gaussian trajectory description of fragmentation in an isolated spinor condensate
• Fragmentation of a trapped bosonic mixture
• Phase characterization of spinor Bose-Einstein condensates: a Majorana stellar representation approach
• Novel phases in rotating Bose-condensed gas: vortices and quantum correlation
• New kind of condensation of Bose particles through stimulated processes
• Ground state properties of trapped boson system with finite-range Gaussian repulsion: Exact diagonalization study
• Bosons condensed in two modes with flavour-changing interaction
• Many-body quantum metrology with scalar bosons in a single potential well
• Squeezed and fragmented states of strongly interacting bosons in a double well. Part II: Quantum Monte Carlo simulations
• Criteria of off-diagonal long-range order in Bose and Fermi systems based on the Lee-Yang cluster expansion method
• Number squeezed and fragmented states of strongly interacting bosons in a double well
• Spin Rotations in a Bose-Einstein Condensate Driven by Counterflow and Spin-independent Interactions
• Particle Correlations in Bose-Einstein Condensates
• Quantum Rotor Theory of Systems of Spin-2 Bosons
• Dipolar magnetostirring protocol for three-well atomtronic circuits
• Bose-enhanced relaxation of driven atom-molecule condensates
• Fragmentation of a trapped multiple-species bosonic mixture
• Resonantly enhanced coherence by laser-assisted tunneling
• Spin Liquid Condensate of Spinful Bosons
• Staircase in magnetization and entanglement entropy of spin squeezed condensates
• A two-state model for vortex nucleation in a rotating Bose-Einstein condensate
• Unfolding multi-particle quantum correlations hidden in decoherence
• Decay of symmetry-protected quantum states
• Solitary waves explore the quantum-to-classical transition
• Stochastic method for calculating the ground state reduced density matrix of trapped Bose particles in one dimension
• Evolution of fragmented states
• Correlated many-body quantum dynamics of the Peregrine soliton
• Dynamics and fragmentation of bosons in an optical lattice inside a cavity using Wannier and position bases
• Fragmentation of identical and distinguishable bosons' pairs and natural geminals of a trapped bosonic mixture
• Josephson oscillation in the dissipative Bose-Hubbard dimer
• Emergent quantum field theories on curved spacetimes in spinor Bose-Einstein condensates: from scalar to Proca fields