Exploring the few- to many-body crossover using cold atoms in one dimension
arXiv:1510.03619 · doi:10.1051/epjconf/201611301002
Abstract
Cold atomic gases have provided us with a great number of opportunities for studying various physical systems under controlled conditions that are seldom offered in other fields. We are thus at the point where one can truly do quantum simulation of models that are relevant for instance in condensed-matter or high-energy physics, i.e. we are on the verge of a 'cool' quantum simulator as envisioned by Feynman. One of the avenues under exploration is the physics of one-dimensional systems. Until recently this was mostly in the many-body limit but now experiments can be performed with controllable particle numbers all the way down to the few-body regime. After a brief introduction to some of the relevant experiments, I will review recent theoretical work on one-dimensional quantum systems containing bosons, fermions, or mixtures of the two, with a particular emphasis on the case where the particles are held by an external trap.
7 pages, short review contribution to proceedings of FB21 Chicago May 18-22 2015. Revised version
References in corpus (28)
- Many-Body Physics with Ultracold Gases
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- A one-dimensional liquid of fermions with tunable spin
- Two Fermions in a double well: Exploring a fundamental building block of the Hubbard model
- Pinning quantum phase transition for a Luttinger liquid of strongly interacting bosons
- Comparing and contrasting nuclei and cold atomic gases
- Exact Solution of Strongly Interacting Quasi-One-Dimensional Spinor Bose Gases
- Soluble Models of Strongly Interacting Ultracold Gas Mixtures in Tight Waveguides
- Exact solution for infinitely strongly interacting Fermi gases in tight waveguides
- Engineering the Dynamics of Effective Spin-Chain Models for Strongly Interacting Atomic Gases
- Evolution from a Bose-Einstein condensate to a Tonks-Girardeau gas: An exact diagonalization study
- Composite fermionization of 1-D Bose-Bose mixtures
- Real-Time Dynamics of an Impurity in an Ideal Bose Gas in a Trap
- Correlations in Ultracold Trapped Few-Boson Systems: Transition from Condensation to Fermionization
- Distinguishability, degeneracy and correlations in three harmonically trapped bosons in one-dimension
- Symmetries of Three Harmonically-Trapped Particles in One Dimension
- Quenching small quantum gases: Genesis of the orthogonality catastrophe
- Quantum correlations and spatial localization in one-dimensional ultracold bosonic mixtures
- Quantum magnetism in strongly interacting one-dimensional spinor Bose systems
- Pairing in a system of a few attractive fermions in a harmonic trap
- One-dimensional Fermi gas with a single impurity in a harmonic trap: Perturbative description of the upper branch
- A variational approach to repulsively interacting three-fermion systems in a one-dimensional harmonic trap
- Tunneling Theory for Tunable Open Quantum Systems of Ultracold Atoms in One-Dimensional Traps
- Multicomponent Strongly Interacting Few-Fermion Systems in One Dimension
- Two interacting fermions in a 1D harmonic trap: matching the Bethe ansatz and variational approaches
- Binding between two-component bosons in one dimension
- Contact and Structure Factor for Bosonic and Fermionic Mixtures
- Trace of broken integrability in stationary correlation properties
Cited by in corpus (31)
- One-dimensional mixtures of several ultracold atoms: a review
- Evolution from few- to many-body physics in one-dimensional Fermi systems: One- and two-body density matrices, and particle-partition entanglement
- Few-fermion thermometry
- Impurities in a one-dimensional Bose gas: the flow equation approach
- Magnetic impurity in a one-dimensional few-fermion system
- From few- to many-body quantum systems
- In-medium bound states of two bosonic impurities in a one-dimensional Fermi gas
- Two Cold Atoms in a Time-Dependent Harmonic Trap in One Dimension
- Analytical and numerical studies of Bose-Fermi mixtures in a one-dimensional harmonic trap
- Comparing numerical and analytical approaches to strongly interacting two-component mixtures in one dimensional traps
- Strongly Interacting One-Dimensional Systems with Small Mass Imbalance
- Quantum-classical correspondence of a system of interacting bosons in a triple-well potential
- Flow equations for cold Bose gases
- Mobile impurities interacting with a few one-dimensional lattice bosons
- Exactly solvable model of two interacting Rydberg-dressed atoms confined in a two-dimensional harmonic trap
- Universality of internal correlations of strongly interacting p-wave fermions in one-dimensional geometry
- Momentum correlations of a few ultra-cold bosons escaping from an open well
- One-particle spectral functions of the one-dimensional Fermionic Hubbard model with one fermion per site at zero and finite magnetic fields
- Finite temperature contact for SU(2) fermions trapped in a 1D harmonic confinement
- Two and three particles interacting in a one-dimensional trap
- Dynamical properties of a few mass-imbalanced ultra-cold fermions confined in a double-well potential
- Ground-State Magnetization in Mixtures of a Few Ultra-Cold Fermions in One-Dimensional Traps
- Fundamental limitations of the eigenvalue continuation approach
- Pair-correlation ansatz for the ground state of interacting bosons in an arbitrary one-dimensional potential
- Nonuniform Bose-Einstein condensate. I. An improvement of the Gross-Pitaevskii method
- Sudden quench of harmonically trapped mass-imbalanced fermions
- In-medium bound-state formation and inhomogeneous condensation in Fermi gases in a hard-wall box
- Dynamical resistivity of a few interacting fermions to the time-dependent potential barrier
- One-particle spectral function singularities in a one-dimensional gas of spin-1/2 fermions with repulsive delta-function interaction
- Few strongly interacting fermions of different mass driven in the vicinity of a critical point
- Impurity immersed in a two-component few-fermion mixture in a one-dimensional harmonic trap