Tayloring Bose-Einstein condensate environments for a Rydberg impurity

Abstract

Experiments have demonstrated that atoms excited to specific Rydberg states within Bose-Einstein condensates cause significant excitation of phonons. If the Rydberg atom is brought into an electronic superposition state, this coupling to phonons leads to decoherence. We provide the theoretical basis for the treatment of the latter. To this end, we evaluate Rydberg-phonon coupling coefficients using a combination of analytical and numerical techniques. From these coefficients, we calculate bath correlation functions, spectral densities and re-organisation energies. All these quantify the influence of the environment and form essential inputs for follow up open quantum system techniques. We find that the amplitude of bath correlations scales like the power law ${\nu }^{-5}$ with the principal quantum number $\nu$, while re-organisation energies scale like ${\nu }^{-3}$, reflecting the extreme tunability of Rydberg atomic properties. Rydberg impurities in condensates thus constitute a non-trivial open-quantum system with exceptionally controlled system, coupling and environmental Hamiltonians.

14 Pages, 6 figures

References in corpus (23)

• Observation of Fermi Polarons in a Tunable Fermi Liquid of Ultracold Atoms
• Quasiclassical calculations of BBR-induced depopulation rates and effective lifetimes of Rydberg nS, nP and nD alkali-metal atoms with n < 80
• A trapped single ion inside a Bose-Einstein condensate
• An experimental and theoretical guide to strongly interacting Rydberg gases
• Photonics meets excitonics: natural and artificial molecular aggregates
• Time dependent impurity in ultracold fermions: orthogonality catastrophe and beyond
• Rydberg excitation of Bose-Einstein condensates
• Ultracold atom-electron interaction: from two to many-body physics
• Two-photon photoassociative spectroscopy of ultracold 88-Sr
• Exact open quantum system dynamics using the Hierarchy of Pure States (HOPS)
• Collective decoherence of cold atoms coupled to a Bose-Einstein condensate
• Dynamics, dephasing and clustering of impurity atoms in Bose-Einstein condensates
• Quantum simulation of energy transport with embedded Rydberg aggregates
• Transport of strong-coupling polarons in optical lattices
• Entanglement control via reservoir engineering in ultracold atomic gases
• Measuring correlations of cold atom systems using multiple quantum probes
• Quantum Brownian Motion with Inhomogeneous Damping and Diffusion
• Inelastic collision dynamics of a single cold ion immersed in a Bose-Einstein condensate
• Quantum dynamics of Bose-polaron in a $d$-dimensional Bose Einstein condensate
• Control of anomalous diffusion of a Bose polaron
• Loss rates for high-$n$, $49\lesssim n\lesssim 150$, 5sns(${}^3$S${}_1$) Rydberg atoms excited in an ${}^{84}$Sr Bose-Einstein condensate
• Spectral properties of a Rydberg atom immersed in a Bose-Einstein condensate
• Cooling and frequency shift of an impurity in a ultracold Bose gas using an open system approach

Cited by in corpus (6)

• Rydberg superatoms: An artificial quantum system for quantum information processing and quantum optics
• Floquet-heating-induced Bose condensation in a scar-like mode of an open driven optical-lattice system
• In situ observation of chemistry in Rydberg molecules within a coherent solvent
• Imaging the interface of a qubit and its quantum-many-body environment
• Dissipative preparation of a Floquet topological insulator in an optical lattice via bath engineering
• Dynamics of atoms within atoms