Quantum simulation of extended polaron models using compound atom-ion systems

Abstract

We consider the prospects for quantum simulation of condensed matter models exhibiting strong electron-phonon coupling using a hybrid platform of trapped laser-cooled ions interacting with an ultracold atomic gas. This system naturally posesses a phonon structure, in contrast to the standard optical lattice scenarios usually employed with ultracold atoms in which the lattice is generated by laser light and thus it remains static. We derive the effective Hamiltonian describing the general system and discuss the arising energy scales, relating the results to commonly employed extended Hubbard-Holstein models. Although for a typical experimentally realistic system the coupling to phonons turns out to be small, we provide the means to enhance its role and reach interesting regimes with competing orders. Extended Lang-Firsov transformation reveals the emergence of phonon-induced long-range interactions between the atoms, which can give rise to both localized and extended bipolaron states with low effective mass, indicating the possibility of fermion pairing.

References in corpus (53)

• Cold bosonic atoms in optical lattices
• Evidence for ubiquitous strong electron-phonon coupling in high-temperature superconductors
• An optically stimulated superconducting-like phase in K3C60 far above equilibrium Tc
• Observation of Attractive and Repulsive Polarons in a Bose-Einstein Condensate
• Bose polarons in the strongly interacting regime
• Froehlich Polaron and Bipolaron: Recent Developments
• Ultrafast many-body interferometry of impurities coupled to a Fermi sea
• From Few to Many: Observing the Formation of a Fermi Sea One Atom at a Time
• The Holstein Polaron
• Repulsive Fermi polarons in a resonant mixture of ultracold ${}^6$Li atoms
• Cold hybrid ion-atom systems
• Theory of nonlinear phononics for coherent light-control of solids
• Creation of Rydberg Polarons in a Bose Gas
• Structural phase transitions in low-dimensional ion crystals
• Nonequilibrium steady states and transient dynamics of conventional superconductors under phonon driving
• Micromotion-induced Limit to Atom-Ion Sympathetic Cooling in Paul Traps
• The theory of parametrically amplified electron-phonon superconductivity
• The Green's Function of the Holstein Polaron
• Emulating Solid-State Physics with a Hybrid System of Ultracold Ions and Atoms
• Cold Atoms and Molecules in Self-Assembled Dipolar Lattices
• Bipolarons in the Extended Holstein Hubbard Model
• Quantum zigzag transition in ion chains
• Intermediate phase of the one dimensional half-filled Hubbard-Holstein model
• Trapped Ion Quantum Information Processing with Squeezed Phonons
• Quantum Monte Carlo and variational approaches to the Holstein model
• Buffer gas cooling of a trapped ion to the quantum regime
• Light Bipolarons Stabilized by Peierls Electron-Phonon Coupling
• An ionic impurity in a Bose-Einstein condensate at sub-microkelvin temperatures
• Metallicity in the half-filled Holstein-Hubbard model
• Phase diagram for the one-dimensional Hubbard-Holstein model: A density-matrix renormalization group study
• One-dimensional array of ion chains coupled to an optical cavity
• Strongly Correlated Bosons on a Dynamical Lattice
• Investigating polaron transitions with polar molecules
• Quantum Simulations of Extended Hubbard Models with Dipolar Crystals
• Optical Traps for sympathetic Cooling of Ions with ultracold neutral Atoms
• Theoretical Understanding of Photon Spectroscopies in Correlated Materials In and Out of Equilibrium
• A bound on superconducting $T_c$'s
• Transport of a single cold ion immersed in a Bose-Einstein condensate
• Controlled long-range interactions between Rydberg atoms and ions
• Quantum simulation of small-polaron formation with trapped ions
• Light-Enhanced Spin Fluctuations and d-Wave Superconductivity at a Phase Boundary
• Quantum simulation of electron-phonon interactions in strongly deformable materials
• Density-matrix embedding theory study of the one-dimensional Hubbard-Holstein model
• Quantum harmonic oscillator state control in a squeezed Fock basis
• Quantum dynamics of an atomic double-well system interacting with a trapped ion
• Bilayers of Rydberg atoms as a quantum simulator for unconventional superconductors
• Quantum Simulation of Abelian Lattice Gauge Theories via State-Dependent Hopping
• High Temperature Superconductivity: the explanation
• Generalised Kronig-Penney model for ultracold atomic quantum systems
• Charge dynamics of a molecular ion immersed in a Rydberg-dressed atomic lattice gas
• Dominant Superconducting Fluctuations in the One-Dimensional Extended Holstein-Extended Hubbard model
• Ion-induced interactions in a Tomonaga-Luttinger liquid
• Operator-based derivation of phonon modes and characterization of correlations for trapped ions at zero and finite temperature

Cited by in corpus (14)

• Observation of Feshbach resonances between a single ion and ultracold atoms
• Many-body bound states and induced interactions of charged impurities in a bosonic bath
• Quantum-limited thermometry of a Fermi gas with a charged spin particle
• Spin-Holstein models in trapped-ion systems
• Dynamics of a trapped ion in a quantum gas: effects of particle statistics
• Spectral properties of a three body atom-ion hybrid system
• Quantum simulation of extended electron-phonon coupling models in a hybrid Rydberg atom setup
• Fermi polaron in atom-ion hybrid systems
• Phonon-assisted coherent transport of excitations in Rydberg-dressed atom arrays
• String breaking dynamics in Ising chain with local vibrations
• Cooling dynamics of a free ion in a Bose-Einstein condensate
• Quantum suppression of cold reactions far from the s-wave energy limit
• Phonon-mediated quantum gates in trapped ions coupled to an ultracold atomic gas
• Universality in Ionic Three-body Systems Near an Ion-atom Feshbach Resonance