Ultradilute low-dimensional liquids

Abstract

We calculate the energy of one- and two-dimensional weakly interacting Bose-Bose mixtures analytically in the Bogoliubov approximation and by using the diffusion Monte Carlo technique. We show that in the case of attractive inter- and repulsive intraspecies interactions the energy per particle has a minimum at a finite density corresponding to a liquid state. We derive the Gross-Pitaevskii equation to describe droplets of such liquids and solve it analytically in the one-dimensional case.

published version + supplemental material

References in corpus (8)

• Observation of quantum droplets in a strongly dipolar Bose gas
• Ultradilute low-dimensional liquids
• Extension of Bogoliubov theory to quasi-condensates
• Quantum filaments in dipolar Bose-Einstein condensates
• Feshbach resonances in ultracold K(39)
• Path-integral Monte Carlo study on a droplet of a dipolar Bose-Einstein condensate stabilized by quantum fluctuation
• Universal Properties of Two-Dimensional Boson Droplets
• Ground state energy of the two-dimensional weakly interacting Bose gas: First correction beyond Bogoliubov theory

Cited by in corpus (259)

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• Universality in ultradilute liquid Bose-Bose mixtures
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• Quantum droplets with particle imbalance in one-dimensional optical lattices
• Attractive Solution of Binary Bose Mixtures: Liquid-Vapor Coexistence and Critical Point
• 2D dilute Bose mixture at low temperatures
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• Effects of quantum fluctuations on macroscopic quantum tunneling and self-trapping of BEC in a double well trap
• Self-bound vortex lattice in a rapidly rotating quantum droplet
• Impurities in quasi-one-dimensional droplets of binary Bose mixtures
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• On Solving Cubic-Quartic Nonlinear Schrödinger Equation in a Cnoidal Trap
• FACt: FORTRAN toolbox for calculating fluctuations in atomic condensates
• Error estimates of the time-splitting methods for the nonlinear Schrödinger equation with semi-smooth nonlinearity
• Mixed Bubbles in a one-dimensional Bose-Bose mixture
• Particle imbalanced weakly interacting quantum droplets in one-dimension
• Stability and collisions of quantum droplets in PT -symmetric dual-core couplers
• Mesoscopic quantum superposition states of weakly-coupled matter-wave solitons
• Classical linear chain behavior from dipolar droplets to supersolids
• Quasi-one-dimensional harmonically trapped quantum droplets
• Stabilization of one-dimensional Townes solitons by spin-orbit coupling in a dual-core system
• Optimal error bounds on time-splitting methods for the nonlinear Schrödinger equation with low regularity potential and nonlinearity
• Optimal error bounds on the exponential wave integrator for the nonlinear Schrödinger equation with low regularity potential and nonlinearity
• Ultradilute self-bound quantum droplets in Bose-Bose mixtures at finite temperature
• The Effective Single-mode model of a Binary Boson Mixture in the Quantum Droplet Region
• Superexchange Liquefaction of Strongly Correlated Lattice Dipolar Bosons
• Investigating Effects of Relativistic Kinematics, Dimensionality, Interactions, and Short-Range Correlations on the Ratio of Quartic over Quadratic Nuclear Symmetry Energies
• Finite-Range Corrections to the Thermodynamics of the One-Dimensional Bose Gas
• Normal-Superfluid Phase Separation in Spin-Half Bosons at Finite Temperature
• Effects of the Lee-Huang-Yang quantum corrections on a disordered dipolar Bose gas
• Dispersive shock waves in a one-dimensional droplet-bearing environment
• Modulational instability and discrete quantum droplets in a deep quasi-one-dimensional optical lattice
• Nonuniversal beyond mean field properties of quasi-two-dimensional dipolar Bose gases
• Phases and dynamics of quantum droplets in the crossover to two-dimensions
• Quasi-one-dimensional approximation for Bose-Einstein condensates transversely trapped by a funnel potential
• Two-dimensional quantum droplets in binary quadrupolar condensates
• Kink-like Solitons in Quantum Droplet
• Quantum-Fluctuation-Driven Dynamics of Droplet Splashing, Recoiling and Deposition in Ultracold Binary Bose Gases
• Supersolid behavior in one-dimensional self-trapped Bose-Einstein condensate
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• Phases and dynamics of few fermionic impurities immersed in two-dimensional boson droplets
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• Quantum Monte Carlo-based density functional for one-dimensional Bose-Bose mixtures
• Multipole quantum droplets in quasi-one-dimensional asymmetric mixtures
• Dynamics of Rapidly Rotating Bose-Einstein Quantum Droplets
• Analysis of multistability in discrete quantum droplets and bubbles
• Double-flattop quantum droplets in low-dimensional Bose-Bose mixtures
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• Stability limits for modes held in alternating trapping-expulsive potentials
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• Weakly-interacting Bose-Bose mixtures from the functional renormalisation group
• Signature of Supersolidity in a Driven Cubic-Quartic Nonlinear Schrödinger Equation
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• Collective excitations of two-dimensional Bose-Einstein Condensate in liquid phase with spin-orbit coupling
• Large-$N$ expansion for condensation and stability of Bose-Bose mixtures at finite temperatures
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• Three-Boson Bound States in Two Dimensions
• Novel solitary and periodic waves in quadratic-cubic non-centrosymmetric waveguides
• Localization and splitting of a quantum droplet with a potential defect
• The cross-over from Townes solitons to droplets in a 2D Bose mixture
• The bulk modulus of three-dimensional quantum droplets
• Entangling lattice-trapped bosons with a free impurity: impact on stationary and dynamical properties
• Rapidly-rotating quantum droplets confined in a harmonic potential
• Propagation properties and stability of dark solitons in weakly interacting Bose-Bose droplets
• Super-Tonks-Girardeau Quench in the Extended Bose-Hubbard Model
• Information theoretic measures on quantum droplets in ultracold atomic systems
• Dynamics of Bright Soliton Under Cubic-Quartic Interactions in Quasi One-Dimensional Geometry
• Nonuniversal Equation of State of a Quasi-2D Bose Gas in Dimensional Crossover
• Magnetoroton in a two-dimensional Bose-Bose mixture
• One-dimensional asymmetrically interacting quantum droplets in Bose-Bose mixtures
• Quantum Liquid in Lower Dimensions: From the perspective of Surface Tension
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• Physics-Informed Neural Networks for the Quantum Droplets in Binary Bose-Einstein Condensates
• A new form of liquid matter: quantum droplets
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• Nonuniversal equation of state for Rabi-coupled bosonic gases: a droplet phase
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• Multicomponent one-dimensional quantum droplets across the mean-field stability regime
• Bose-Bose gases with nonuniversal corrections to the interactions: a droplet phase
• Few-body bound states of bosonic mixtures in two-dimensional optical lattices
• Josephson Dynamics of 2D Bose-Einstein Condensates in Dual-Core Trap: Homogeneous, Droplet-Droplet, and Vortex-Vortex Regimes
• Phase diagram and elementary excitations of strongly interacting droplets with non-local interactions
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• Surface excitation of Rydberg dressed quantum droplet of Bose-Einstein Condensates
• New Frontiers in Multidimensional Self-Trapping of Nonlinear Fields and Matter
• Yrast states of quantum droplets confined in a ring potential
• Heavy-light $N+1$ clusters of two-dimensional fermions
• Two-dimensional symbiotic solitons and quantum droplets in a quasi-one-dimensional optical lattice
• Quantum droplets in two-dimensional optical lattices
• Quantum Monte Carlo study of few- and many-body Bose systems in one and two dimensions
• Hole-induced anomaly in the thermodynamic behavior of a one-dimensional Bose gas
• Modeling dark matter as self-bound quantum liquid droplets
• Ultradilute quantum liquid of dipolar atoms in a bilayer
• Modulational instability and quantum droplets in a two-dimensional Bose-Einstein condensate
• Ab-initio Quantum Monte Carlo study of ultracold atomic mixtures
• Preparation of quasi-two-dimensional Bose mixture of ultracold ${}^{23}$Na and ${}^{87}$Rb atoms
• Dilute quantum liquid in a K-Rb Bose mixture
• Diminished quantum depletion and correlated droplets in one-dimensional dipolar Bose gas
• Phases and dynamics of an impurity immersed in one-dimensional quantum droplets
• Cavity-induced quantum droplets
• Dimensional crossover of bound complexes in a two-species Bose-Hubbard lattice: Correlations and dynamics
• Nonlinear modes in spatially confined spin-orbit-coupled Bose-Einstein condensates with repulsive nonlinearity
• Quasiparticle spectra of mixtures of dipolar and non-dipolar condensates at zero and finite temperatures
• Bosonic quantum Hall droplets in rapidly rotating two-dimensional Bose-Einstein condensates
• Engineering quantum droplet formation by cavity-induced long-range interactions
• Static and dynamical properties of quadrupolar quantum droplets in quasi-2D condensates
• Droplets of Bosons at a Narrow Resonance
• Dynamics of Quantum Droplets in a Quasi-one-dimensional Framework: An Analytical Approach
• Rotational dynamics induced by low energy binary collisions of quantum droplets
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