Ground state properties of ultracold trapped bosons with an immersed ionic impurity
arXiv:1407.3575 · doi:10.1103/PhysRevA.90.033601
Abstract
We consider a trapped atomic ensemble of interacting bosons in the presence of a single trapped ion in a quasi one dimensional geometry. Our study is carried out by means of the newly developed multilayer-multiconfiguration time-dependent Hartree method for bosons, a numerical exact approach to simulate quantum many-body dynamics. In particular, we are interested in the scenario by which the ion is so strongly trapped that its motion can be effectively neglected. This enables us to focus on the atomic ensemble only. With the development of a model potential for the atom-ion interaction, we are able to numerically obtain the exact many-body ground state of the atomic ensemble in the presence of an ion. We analyse the influence of the atom number and the atom-atom interaction on the ground state properties. Interestingly, for weakly interacting atoms, we find that the ion impedes the transition from the ideal gas behaviour to the Thomas-Fermi limit. Furthermore, we show that this effect can be exploited to infer the presence of the ion both in the momentum distribution of the atomic cloud and by observing the interference fringes occurring during an expansion of the quantum gas. In the strong interacting regime, the ion modifies the fragmentation process in dependence of the atom number parity which allows a clear identification of the latter in expansion experiments. Hence, we propose in both regimes experimentally viable strategies to assess the impact of the ion on the many-body state of the atomic gas. This study serves as the first building block for systematically investigate many-body physics of such hybrid system.
arXiv comment18 pages, 16 figures, v2: double column, typos corrected, and figures updated
References in corpus (50)
- Feshbach Resonances in Ultracold Gases
- Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
- Exciting Collective Oscillations in a Trapped 1D Gas
- Deterministic Preparation of a Tunable Few-Fermion System
- A trapped single ion inside a Bose-Einstein condensate
- The multi-configurational time-dependent Hartree method for bosons: Many-body dynamics of bosonic systems
- Bosons in cigar-shape traps: Thomas-Fermi regime, Tonks-Girardeau regime, and between
- Low-dimensional Bose liquids: beyond the Gross-Pitaevskii approximation
- Dynamics of a cold trapped ion in a Bose-Einstein condensate
- Stability and phase coherence of trapped 1D Bose gases
- Observation of Cold Collisions between Trapped Ions and Trapped Atoms
- Ground state properties of a one-dimensional condensate of hard core bosons in a harmonic trap
- A Waveguide for Bose-Einstein Condensates
- Mesoscopic molecular ions in Bose-Einstein condensates
- Millikelvin Reactive Collisions between Sympathetically-Cooled Molecular Ions and Laser-Cooled Atoms in an Ion-Atom Hybrid Trap
- Micromotion-induced Limit to Atom-Ion Sympathetic Cooling in Paul Traps
- Controlling chemical reactions of a single particle
- The Multi-Layer Multi-Configuration Time-Dependent Hartree Method for Bosons: Theory, Implementation and Applications
- Optical Trapping of an Ion
- Cold atom-ion experiments in hybrid traps
- Sympathetic and swap cooling of trapped ions by cold atoms in a MOT
- Quantum theory of ultracold atom-ion collisions
- Emulating Solid-State Physics with a Hybrid System of Ultracold Ions and Atoms
- High-momentum tail in the Tonks gas under harmonic confinement
- A single ion as a three-body reaction center in an ultracold atomic gas
- Non-Equilibrium Quantum Dynamics of Ultra-Cold Atomic Mixtures: the Multi-Layer Multi-Configuration Time-Dependent Hartree Method for Bosons
- Atom-ion quantum gate
- Static properties of positive ions in atomic Bose-Einstein condensates
- Pathway from condensation via fragmentation to fermionization of cold bosonic systems
- Decoherence of a single-ion qubit immersed in a spin-polarized atomic bath
- Ultracold Few-Boson Systems in a Double-Well Trap
- Correlations in Ultracold Trapped Few-Boson Systems: Transition from Condensation to Fermionization
- Controlled collisions of a single atom and ion guided by movable trapping potentials
- Multichannel quantum-defect theory for ultracold atom-ion collisions
- Ion-neutral chemistry at ultralow energies: Dynamics of reactive collisions between laser-cooled Ca^+ ions and Rb atoms in an ion-atom hybrid trap
- Universal properties in ultracold ion-atom interactions
- Reactive collisions of trapped anions with ultracold atoms
- A bosonic Josephson junction controlled by a single trapped ion
- Description of ion motion in a Paul trap immersed in a cold atomic gas
- Observation of elastic collisions between lithium atoms and calcium ions
- Low-density, one-dimensional quantum gases in a split trap
- Micromotion in trapped atom-ion systems
- Quantum-defect theory for type of interactions
- Ion induced density bubble in a strongly correlated one dimensional gas
- Quantum dynamics of an atomic double-well system interacting with a trapped ion
- Ground State Properties of a Tonks-Girardeau Gas in a Split Trap
- Simulating strongly correlated multiparticle systems in a truncated Hilbert space
- An eccentrically perturbed Tonks-Girardeau gas
- Ground state properties of a one-dimensional strongly-interacting Bose-Fermi mixture in a double-well potential
- Hybrid quantum systems of atoms and ions
Cited by in corpus (26)
- Cold hybrid ion-atom systems
- Unraveling the Structure of Ultracold Mesoscopic Molecular Ions
- Rydberg molecules for ion-atom scattering in the ultracold regime
- Cold chemistry: a few-body perspective on impurity physics of a single ion in an ultracold bath
- Capture Dynamics of Ultracold Atoms in the Presence of an Impurity Ion
- Impact of Many-Body Correlations on the Dynamics of an Ion-Controlled Bosonic Josephson Junction
- Confinement-Induced Resonances in Ultracold Atom-Ion Systems
- Ultracold ion-atom experiments: cooling, chemistry, and quantum effects
- Dynamics of a trapped ion in a quantum gas: effects of particle statistics
- Charge dynamics of a molecular ion immersed in a Rydberg-dressed atomic lattice gas
- Compound atom-ion Josephson junction: Effects of finite temperature and ion motion
- Ion solvation in atomic baths: from snowballs to polarons
- Generation and decoherence of soliton spatial superposition states
- Charge transfer in ultracold gases via Feshbach resonances
- Ion-induced interactions in a Tomonaga-Luttinger liquid
- Dipolar bosons in one dimension: the case of longitudinal dipole alignment
- Spectral properties of a three body atom-ion hybrid system
- In situ observation of chemistry in Rydberg molecules within a coherent solvent
- A distinguishable single excited-impurity in a Bose-Einstein condensate
- The dynamics of a single trapped ion in a high density media: a stochastic approach
- Bound states of an ultracold atom interacting with a set of stationary impurities
- Singularities of Floquet Scattering and Tunneling
- Excited state preparation of trapped ultracold atoms via swept potentials
- Quantum reactive scattering in the long-range ion-dipole potential
- Many-body effects in the excitations and dynamics of trapped Bose-Einstein condensates
- Electric field dissociation of weakly bound molecular ions