Few-body physics with ultracold atomic and molecular systems in traps

Abstract

Few-body physics has played a prominent role in atomic, molecular and nuclear physics since the early days of quantum mechanics. It is now possible---thanks to tremendous progress in cooling, trapping, and manipulating ultracold samples---to experimentally study few-body phenomena in trapped atomic and molecular systems with unprecedented control. This review summarizes recent studies of few-body phenomena in trapped atomic and molecular gases, with an emphasis on small trapped systems. We start by introducing the free-space scattering properties and then investigate what happens when two particles, bosons or fermions, are placed in an external confinement. Next, various three-body systems are treated analytically in limiting cases. Our current understanding of larger two-component Fermi systems and Bose systems is reviewed, and connections with the corresponding bulk systems are established. Lastly, future prospects and challenges are discussed. Throughout this review, commonalities with other systems such as nuclei or quantum dots are highlighted.

review article to be published in Rep. Prog. Phys. (66 pages, 21 figures)

References in corpus (108)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Thermalization and its mechanism for generic isolated quantum systems
• Theory of ultracold Fermi gases
• Bose-Einstein condensation of chromium
• Observation of Fermi Polarons in a Tunable Fermi Liquid of Ultracold Atoms
• Weakly bound dimers of fermionic atoms
• Generalized Virial Theorem and Pressure Relation for a strongly correlated Fermi gas
• Resonantly-paired fermionic superfluids
• Observation of an Efimov spectrum in an atomic system
• The multi-configurational time-dependent Hartree method for bosons: Many-body dynamics of bosonic systems
• Degenerate Fermi Gases of Ytterbium
• Quantum degenerate two-species Fermi-Fermi mixture coexisting with a Bose-Einstein condensate
• Critical Temperature and Thermodynamics of Attractive Fermions at Unitarity
• Three-boson problem near a narrow Feshbach resonance
• Observation of universality in ultracold 7Li three-body recombination
• Observation of an Efimov-like resonance in ultracold atom-dimer scattering
• Evidence for Universal Four-Body States Tied to an Efimov Trimer
• Universal Properties of the Four-Body System with Large Scattering Length
• Observation of heteronuclear atomic Efimov resonances
• p-wave Feshbach molecules
• Bragg spectroscopy of a strongly interacting 85Rb Bose-Einstein condensate
• Few-body physics with ultracold atomic and molecular systems in traps
• Virial expansion for a strongly correlated Fermi gas
• Radio Frequency Association of Efimov Trimers
• Cooling in strongly correlated optical lattices: prospects and challenges
• Efimov Physics in Cold Atoms
• Measurement of the Entropy and Critical Temperature of a Strongly Interacting Fermi Gas
• Bose-Einstein condensation of alkaline earth atoms: ${}^{40}${Ca}
• Few-boson dynamics in double wells: From single-atom to correlated-pair tunneling
• Local Density Functional Theory for Superfluid Fermionic Systems: The Unitary Gas
• Scattering in Mixed Dimensions with Ultracold Gases
• Crossover from 2D to 3D in a weakly interacting Fermi gas
• Bose-Einstein Condensation of an Ytterbium Isotope
• Analytical solutions for the dynamics of two trapped interacting ultracold atoms
• Low-energy three-body dynamics in binary quantum gases
• Universal Fermi gases in mixed dimensions
• Breakdown of integrability in a quasi-one-dimensional ultracold bosonic gas
• Universal properties of a trapped two-component Fermi gas at unitarity
• Superfluidity and magnetism in multicomponent ultracold fermions
• n-Boson Energies at Finite Volume and Three-Boson Interactions
• Resonantly Interacting Fermions In a Box
• Limits on Universality in Ultracold Three-Boson Recombination
• Three fully polarized fermions close to a p-wave Feshbach resonance
• Diatomic molecules in ultracold Fermi gases - Novel composite bosons
• Three attractively interacting fermions in a harmonic trap: Exact solution, ferromagnetism, and high-temperature thermodynamics
• Three-boson problem at low energy and Implications for dilute Bose-Einstein condensates
• Stability of the fermionic gases close to a p-wave Feshbach resonance
• Effective Theory for Trapped Few-Fermion Systems
• Energetics and Structural Properties of Trapped Two-Component Fermi Gases
• BCS pairing in Fermi systems with several flavors
• Efimov physics in bosonic atom-trimer scattering
• Coherent Interaction of a Single Fermion with a Small Bosonic Field
• Four-boson scale near a Feshbach resonance
• Unitary Fermi Gas in a Harmonic Trap
• Virial theorems for trapped cold atoms
• Strongly-resonant p-wave superfluids
• Nonlinear Schrödinger equation for a superfluid Fermi gas from BCS to Bose crossover
• Spectrum and Dynamics of the BCS-BEC crossover from a few-body perspective
• BEC-BCS Crossover of a Trapped Two-Component Fermi Gas with Unequal Masses
• Pairing and Superfluid Properties of Dilute Fermion Gases at Unitarity
• Heavy-Light Fermion Mixtures at Unitarity
• Range Corrections to Three-Body Observables near a Feshbach Resonance
• All-optical production of a degenerate mixture of 6Li and 40K and creation of heteronuclear molecules
• Energetics and structural properties of three-dimensional bosonic clusters near threshold
• Level crossing in the three-body problem for strongly interacting fermions in a harmonic trap
• Universal Fermi Gas with Two- and Three-Body Resonances
• Efimov states and their Fano resonances in a neutron-rich nucleus
• Collisional properties of weakly bound heteronuclear dimers
• The Efimov effect for three interacting bosonic dipoles
• Modeling interactions for resonant p-wave scattering
• Three-body problem for ultracold atoms in quasi-one-dimensional traps
• Ground State Properties of Cold Bosonic Atoms At Large Scattering Lengths
• Heteronuclear molecules in an optical lattice: Theory and experiment
• Density Functional Theory for non-relativistic Fermions in the Unitarity Limit
• Production of three-body Efimov molecules in an optical lattice
• Pseudo-potential treatment of two aligned dipoles under external harmonic confinement
• Confinement-induced resonance in quasi-one-dimensional systems under transversely anisotropic confinement
• Four-body problem and BEC-BCS crossover in a quasi-one-dimensional cold fermion gas
• Co-existence and shell structures of several superfluids in trapped three-component Fermi mixtures
• Pauli Blocking Effect on Efimov States Near Feshbach Resonance
• Low-energy resonances and bound states of aligned bosonic and fermionic dipoles
• Universal resonant ultracold molecular scattering
• Dimer-dimer collisions at finite energies in two-component Fermi gases
• Virial expansion for a strongly correlated Fermi gas with imbalanced spin populations
• Universality in a 2-component Fermi System at Finite Temperature
• Small mass- and trap-imbalanced two-component Fermi systems
• Ultracold atom-molecule collisions with fermionic atoms
• Theoretical description of two ultracold atoms in finite 3D optical lattices using realistic interatomic interaction potentials
• Dynamic response of strongly correlated Fermi gases in the quantum virial expansion
• Hyperspherical Description of the Degenerate Fermi Gas: S-wave Interactions
• Multiscale quantum-defect theory for two interacting atoms in a symmetric harmonic trap
• Cold Fermionic Atoms in Two-Dimensional Traps -- Pairing versus Hund's Rule
• Stability of trapped fermionic gases with attractive interactions
• Stability of Inhomogeneous Multi-Component Fermi Gases
• Resonant Feshbach scattering of fermions in one-dimensional optical lattices
• Fermionic ground state at unitarity and Haldane Exclusion Statistics
• Conditions for Efimov Physics for Finite Range Potentials
• The Condition for Universality at Resonance and Direct Measurement of Pair Wavefunctions Using rf Spectroscopy
• Short Range Scaling Laws of Quantum Gases With Contact Interactions
• BEC-BCS crossover of a trapped Fermi gas without using the local density approximation
• The Trapped Polarized Fermi Gas at Unitarity
• Two ultracold atoms in a completely anisotropic trap
• Trapped Bose gases with large positive scattering length
• A quasi-Hermitian pseudopotential for higher partial wave scattering
• Three comments on the Fermi gas at unitarity in a harmonic trap
• A dilute atomic Fermi system with a large positive scattering length
• Heavy-Light Few Fermion Clusters at Unitarity

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• Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
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• Modern Ab Initio Approaches and Applications in Few-Nucleon Physics with A \ge 4
• Yang-Baxter integrable models in experiments: from condensed matter to ultracold atoms
• Distinguishability, degeneracy and correlations in three harmonically trapped bosons in one-dimension
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• Laser cooling for quantum gases
• Quenching small quantum gases: Genesis of the orthogonality catastrophe
• Quantum correlations and spatial localization in one-dimensional ultracold bosonic mixtures
• Quantum mixtures of ultracold gases of neutral atoms
• Two-flavor mixture of a few fermions of different mass in a one-dimensional harmonic trap
• Many interacting fermions in a one-dimensional harmonic trap: a quantum-chemical treatment
• Feshbach resonances in $p$-wave three-body recombination within Fermi-Fermi mixtures of open-shell ${}^6$Li and closed-shell ${}^{173}$Yb atoms
• Sharp crossover from composite fermionization to phase separation in mesoscopic mixtures of ultracold bosons
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• Preparation of a Heteronuclear Two-atom System in the 3D Motional Ground State in an Optical Tweezer
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• Exact dynamics of two ultra-cold bosons confined in a one-dimensional double-well potential
• Ab initio calculations of low-energy nuclear scattering using confining potential traps
• Path integral Monte Carlo ground state approach: Formalism, implementation, and applications
• Probing strongly interacting atomic gases with energetic atoms
• Tunneling dynamics of two interacting one-dimensional particles
• The $s$-wave scattering length of a Gaussian potential
• A geometric wave function for few interacting bosons in a harmonic trap
• Two-band superfluidity and intrinsic Josephson effect in alkaline-earth Fermi gases across an orbital Feshbach resonance
• Universality of the unitary Fermi gas: A few-body perspective
• Quantum correlations and degeneracy of identical bosons in a 2D harmonic trap
• Digital Discovery of 100 diverse Quantum Experiments with PyTheus
• Incorporating exact two-body propagators for zero-range interactions into $N$-body Monte Carlo simulations
• Energy and structural properties of $N$-boson clusters attached to three-body Efimov states: Two-body zero-range interactions and the role of the three-body regulator
• Exploring ultracold collisions in ${}^6$Li-${}^{53}$Cr Fermi mixtures: Feshbach resonances and scattering properties of a novel alkali-transition metal system
• Two interacting fermions in a 1D harmonic trap: matching the Bethe ansatz and variational approaches
• Extracting free-space observables from trapped interacting clusters
• Realization of a Cold Mixture of Fermionic Chromium and Lithium Atoms
• Trapped unitary two-component Fermi gases with up to ten particles
• Few-body correlations in two-dimensional Bose and Fermi ultracold mixtures
• Long range transport of ultra cold atoms in a far-detuned 1D optical lattice
• Universal Two-Body Spectra of Ultracold Harmonically Trapped Atoms in Two and Three Dimensions
• On the formation of van der Waals complexes through three-body recombination
• Static and dynamic properties of a few spin $1/2$ interacting fermions trapped in an harmonic potential
• Classical threshold law for the formation of van der Waals molecules
• Quench Dynamics of Two One-Dimensional Harmonically Trapped Bosons Bridging Attraction and Repulsion
• Nuclear reactions in artificial traps
• Analytical treatment of the interaction quench dynamics of two bosons in a two-dimensional harmonic trap
• Thermally-robust spin correlations between two 85Rb atoms in an optical microtrap
• Spin structure of harmonically trapped one-dimensional atoms with spin-orbit coupling
• Harmonically trapped Fermi gas: Temperature dependence of the Tan contact
• On the observability of Pauli crystals
• Quantum-classical correspondence of a system of interacting bosons in a triple-well potential
• Nuclear scattering via quantum computing
• Energy spectrum of a harmonically trapped two-atom system with spin-orbit coupling
• Bosonic quantum dynamics following a linear interaction quench in finite optical lattices of unit filling
• Hyperspherical explicitly correlated Gaussian approach for few-body systems with finite angular momentum
• Double-degenerate Fermi mixtures of ${}^6$Li and ${}^{53}$Cr atoms
• Probing the edge between integrability and quantum chaos in interacting few-atom systems
• Occupation numbers of the harmonically trapped few-boson system
• Stationary and dynamical properties of two harmonically trapped bosons in the crossover from two dimensions to one
• Diffusion in a system of a few distinguishable fermions in a one-dimensional double-well potential
• Phase separation of a Bose-Bose mixture: impact of the trap and particle number imbalance
• Ab initio Path Integral Monte Carlo Simulations of Quantum Dipole Systems in Traps: Superfluidity, Quantum Statistics, and Structural Properties
• Impact of geometry on many-body localization
• A modular implementation of an effective interaction approach for harmonically trapped fermions in 1D
• Few-body perspective of a quantum anomaly in two-dimensional Fermi gases
• Ion-atom-atom three-body recombination: from the cold to the thermal regime
• Trion clustering structure and binding energy in 2D semiconductor materials: Faddeev equations approach
• Phase diagrams of Fermi gases in a trap with mass and population imbalances at finite temperature
• Matter-wave lensing of shell-shaped Bose-Einstein condensates
• Temperature-dependence of small harmonically trapped atom systems with Bose, Fermi and Boltzmann statistics
• The 3-body Coulomb problem
• Correlation properties of a three-body bosonic mixture in a harmonic trap
• Universality of internal correlations of strongly interacting p-wave fermions in one-dimensional geometry
• Few-body physics of ultracold atoms and molecules with long-range interactions
• Exactly solvable model of two interacting Rydberg-dressed atoms confined in a two-dimensional harmonic trap
• Momentum correlations of a few ultra-cold bosons escaping from an open well
• Small two-component Fermi gases in a cubic box with periodic boundary conditions
• Slightly imbalanced system of a few attractive fermions in a one-dimensional harmonic trap
• Bound impurities in a one-dimensional Bose lattice gas: low-energy properties and quench-induced dynamics
• Abnormal superfluid fraction and structural properties of electrons in 2D and 3D quantum dots: an ab initio path-integral Monte Carlo study
• Ultracold heteronuclear three-body systems: How diabaticity limits the universality of recombination into shallow dimers
• Two-particle bound states on a lattice
• Quench-induced delocalization
• Convergence Properties of the Effective Theory for Trapped Bosons
• Deep Laser Cooling of Thulium Atoms to Sub-$\mu$K Temperatures in Magneto-Optical Trap
• Analytical solution for the spectrum of two ultracold atoms in a completely anisotropic confinement
• Finite temperature contact for SU(2) fermions trapped in a 1D harmonic confinement
• Fermionic properties of two interacting bosons in a two-dimensional harmonic trap
• Ground-states of spin-1 bosons in asymmetric double-wells
• Universality of excited three-body bound states in one dimension
• Molecular branch of a small highly-elongated Fermi gas with an impurity: Full three-dimensional versus effective one-dimensional description
• Coupled pair approach for strongly-interacting trapped fermionic atoms
• Quantum collision theory in flat bands
• Cluster formation in two-component Fermi gases
• Complex scaling flows in the quench dynamics of interacting particles
• Normal modes for N identical particles: A study of the evolution of collective behavior from few-body to many-body
• Are smooth pseudopotentials a good choice for representing short-range interactions?
• Many-body localization on finite generation fractal lattices
• Unconventional pairing in few-fermion systems at finite temperature
• Highly Efficient Creation and Detection of Ultracold Deeply-Bound Molecules via Chainwise Stimulated Raman Shortcut-to-Adiabatic Passage
• Bound states of a light atom and two heavy dipoles in two dimensions
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• Experimentally accessible invariants encoded in interparticle correlations of harmonically trapped ultra-cold few-fermion mixtures
• Dynamical properties of a few mass-imbalanced ultra-cold fermions confined in a double-well potential
• Fermions meet two bosons -- the heteronuclear Efimov effect revisited
• Ground and Low-Lying Collective States of Rotating Three-Boson System
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• Composite boson description of a low density gas of excitons
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