Dynamics of a trapped ion in a quantum gas: effects of particle statistics

Abstract

We study the quantum dynamics of an ion confined in a radiofrequency trap in interaction with either a Bose or spin-polarized Fermi gas. To this end, we derive quantum optical master equations in the limit of weak coupling and the Lamb-Dicke approximations. For the bosonic bath, we also include the so-called "Lamb-shift" correction to the ion trap due to the coupling to the quantum gas as well as the extended Fröhlich interaction within the Bogolyubov approximation that have been not considered in previous studies. We calculate the ion kinetic energy for various atom-ion scattering lengths as well as gas temperatures by considering the intrinsic micromotion and we analyse the damping of the ion motion in the gas as a function of the gas temperature. We find that the ion's dynamics depends on the quantum statistics of the gas and that a fermionic bath enables to attain lower ionic energies.

25 pages, 9 figures

References in corpus (10)

• Controlled collisions of a single atom and ion guided by movable trapping potentials
• Observation of collisions between cold Li atoms and Yb${}^{+}$ ions
• Ground state properties of ultracold trapped bosons with an immersed ionic impurity
• Micromotion in trapped atom-ion systems
• Quantum dynamics of an atomic double-well system interacting with a trapped ion
• Inelastic collision dynamics of a single cold ion immersed in a Bose-Einstein condensate
• Probing the dynamic structure factor of a neutral Fermi superfluid along the BCS-BEC crossover using atomic impurity qubits
• Quantum simulation of extended polaron models using compound atom-ion systems
• Experimental setup for studying an ultracold mixture of trapped Yb${}^{+}$-${}^6$Li
• Long lifetimes in optical ion traps

Cited by in corpus (5)

• Observation of Chemical Reactions between a Trapped Ion and Ultracold Feshbach Dimers
• Many-body bound states and induced interactions of charged impurities in a bosonic bath
• Buffer gas cooling of ions in time-dependent traps using ultracold atoms
• Quasienergy operators and generalized squeezed states for systems of trapped ions
• A mobile ion in a Fermi sea