The Yrast Spectra of Weakly Interacting Bose-Einstein Condensates
arXiv:cond-mat/9905053 · doi:10.1103/PhysRevLett.83.2695
Abstract
The low energy quantal spectrum is considered as a function of the total angular momentum for a system of weakly interacting bosonic atoms held together by an external isotropic harmonic potential. It is found that besides the usual condensation into the lowest state of the oscillator, the system exhibits two additional kinds of condensate and associated thermodynamic phase transitions. These new phenomena are derived from the degrees of freedom of "partition space" which describes the multitude of different ways in which the angular momentum can be distributed among the atoms while remaining all the time in the lowest state of the oscillator.
Cited by in corpus (90)
- Vortices in a trapped dilute Bose-Einstein condensate
- Quantum Phases of Vortices in Rotating Bose-Einstein Condensates
- Self-consistent model of ultracold atomic collisions and Feshbach resonances in tight harmonic traps
- Yrast line for weakly interacting trapped bosons
- Weakly-interacting Bose-Einstein condensates under rotation
- Quantum Hall physics in rotating Bose-Einstein condensates
- Vortices in quantum droplets: Analogies between boson and fermion systems
- Entanglement of orbital angular momentum states between an ensemble of cold atoms and a photon
- Bose condensates at high angular momenta
- Critical rotation of a harmonically trapped Bose gas
- Exact Eigenstates for Repulsive Bosons in Two Dimensions
- Rotational spectra of weakly interacting Bose-Einstein condensates
- Weakly Interacting Bose-Einstein Condensates Under Rotation: Mean-field versus Exact Solutions
- Persistent currents with non-quantized angular momentum
- Two-dimensional Bose gas under extreme rotation
- On the criterion for Bose-Einstein condensation for particles in traps
- Rotational states of Bose gases with attractive interactions in anharmonic traps
- Strongly correlated phases in rapidly rotating Bose gases
- Analytical results for a trapped, weakly-interacting Bose-Einstein condensate under rotation
- Free expansion of lowest Landau level states of trapped atoms: a wavefunction microscope
- Vortices and vortex lattices in quantum ferrofluids
- Nonlinear modes and symmetry breaking in rotating double-well potentials
- Universal vortex formation in rotating traps with bosons and fermions
- Vortex stabilization in a small rotating asymmetric Bose-Einstein condensate
- Exact solutions and stability of rotating dipolar Bose-Einstein condensates in the Thomas-Fermi limit
- Persistent currents in a bosonic mixture in the ring geometry
- The Yrast Line of a Rapidly Rotating Bose Gas: Gross-Pitaevskii Regime
- Electron-hole duality and vortex rings in quantum dots
- Validity of the Lowest Landau Level Approximation for Rotating Bose Gases
- Exact diagonalization results for an anharmonically trapped Bose-Einstein condensate
- Current reversals in rapidly rotating ultra-cold Fermi gases
- Unified microscopic approach to the interplay of pinned-Wigner-solid and liquid behavior of lowest-Landau-level states in the neighborhood of nu=1/3
- Energy gaps and roton structure above the nu=1/2 Laughlin state of a rotating dilute Bose-Einstein condensate
- Rotating quantum liquids crystallize
- Fragmented Condensate Ground State of Trapped Weakly Interacting Bosons in Two Dimensions
- Rotating Bose-Einstein condensates with attractive interactions
- Localized matter-waves patterns with attractive interaction in rotating potentials
- Center of mass rotation and vortices in an attractive Bose gas
- Vortex localization in rotating clouds of bosons and fermions
- Exact Eignstates for Trapped Weakly Interacting Bosons in Two Dimensions
- Mean-field yrast spectrum of a two-component Bose gas in ring geometry: persistent currents at higher angular momentum
- Collective modes and the broken symmetry of a rotating attractive Bose gas in an anharmonic trap
- Oscillations of rotating trapped Bose-Einstein condensates
- Rotating quantum droplets confined in a harmonic potential
- Vortices in Bose-Einstein condensates - finite-size effects and the thermodynamic limit
- Fragmented Many-Body states of definite angular momentum and stability of attractive 3D Condensates
- Low-Lying Excitations from the Yrast Line of Weakly Interacting Trapped Bosons
- Rotating Bose gas with hard-core repulsion in a quasi-2D harmonic trap: vortices in BEC
- Exact solutions for interacting boson systems under rotation
- Rotating Bose-Einstein condensates: Closing the gap between exact and mean-field solutions
- A fully quantal molecular description for the spectra of bosons and fermions in the lowest Landau level
- Quantal molecular description and universal aspects of the spectra of bosons and fermions in the lowest Landau level
- Ground state properties of a trapped few-Boson system under rotation --beyond the "lowest Landau level" approximation--
- The absence of fragmentation in Bose-Einstein condensates
- Low-lying excitations of a trapped rotating Bose-Einstein condensate
- Dark solitons revealed in Lieb-Liniger eigenstates
- Many-body soliton-like states of the bosonic ideal gas
- Generalized yrast states of a Bose condensate in harmonic trap for a universality class of repulsive interactions
- Metastability of persistent currents in trapped gases of atoms
- Condensates of p-wave pairs are exact solutions for rotating two-component Bose gases
- Classical and quantum metrology of the Lieb-Liniger model
- Mean-field yrast spectrum and persistent currents in a two-component Bose gas with interaction asymmetry
- Rotating ground states of trapped Bose atoms with arbitrary two-body interactions
- Universal solutions for interacting bosons in one-dimensional harmonic traps
- Universality of Many-Body States in Rotating Bose and Fermi Systems
- On phases in weakly interacting finite Bose systems
- Asymptotically exact trial wave functions for yrast states of rotating Bose gases
- Rotational properties of two-component Bose gases in the lowest Landau level
- Operator-Algebraic Approach to the Yrast Spectrum of Weakly Interacting Trapped Bosons
- Localization of particles in harmonic confinement: Effect of the interparticle interaction
- Oscillation bands of condensates on a ring: Beyond the mean field theory
- Ground and Low-Lying Collective States of Rotating Three-Boson System
- Roton in a few-body dipolar system
- Vortex precession and exchange in a Bose-Einstein condensate
- Rapidly-rotating quantum droplets confined in a harmonic potential
- Josephson vortices and persistent current in a double-ring supersolid system
- Stability of rotating states in a weakly-interacting Bose-Einstein condensate
- The attractive Bose gas in two dimensions: an analytical study of its fragmentation and collapse
- Condensed vortex ground states of rotating Bose-Einstein condensate in harmonic atomic trap
- Ground states of a system of interacting particles in a parabolic trap
- Twocomponent Fermi vapour in a 2D rotating trap
- Perturbative spectrum of Trapped Weakly Interacting Bosons in Two Dimensions
- Vortices in fermion droplets with repulsive dipole-dipole interactions
- Thermometry for Laughlin States of Ultracold Atoms
- Wave-function microscopy: Derivation and anatomy of exact algebraic spinful wave functions and full Wigner-molecular spectra of a few highly correlated rapidly rotating ultracold fermionic atoms
- Cranked Hartree-Fock-Bogoliubov Calculation for Rotating Bose-Einstein Condensates
- A two-state model for vortex nucleation in a rotating Bose-Einstein condensate
- Rotating fermions in two dimensions: Thomas Fermi approach
- Vortices in the Many-Body Excited States of Interacting Bosons in Two Dimension
- Artificial versus Natural Atoms: The uncanny capability of the many-body Schrödinger equation to produce emergent behavior