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.

arXiv comment14 Pages, 6 figures

References in corpus (61)

• Decoherence, the measurement problem, and interpretations of quantum mechanics
• Non-Markovian dynamics in open quantum systems
• Observation of Fermi Polarons in a Tunable Fermi Liquid of Ultracold Atoms
• Three-dimensional Roton-Excitations and Supersolid formation in Rydberg-excited Bose-Einstein Condensates
• 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
• Ultrafast many-body interferometry of impurities coupled to a Fermi sea
• Dynamics of a cold trapped ion in 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
• Dynamics of single neutral impurity atoms immersed in an ultracold gas
• Non-Hermitian Kondo effect in ultracold alkaline-earth atoms
• Creation of Rydberg Polarons in a Bose Gas
• Rydberg excitation of Bose-Einstein condensates
• Polaron Physics in Optical Lattices
• Coupling a single electron to a Bose-Einstein condensate
• Ultracold atom-electron interaction: from two to many-body physics
• Using polarons for sub-nK quantum non-demolition thermometry in a Bose-Einstein condensate
• Two-photon photoassociative spectroscopy of ultracold 88-Sr
• Strong coupling Bose polarons in a BEC
• Correlated Exciton Transport in Rydberg-Dressed-Atom Spin Chains
• Measurement of the Angular Dependence of the Dipole-Dipole Interaction Between Two Individual Rydberg Atoms at a Förster Resonance
• Impurities as a quantum thermometer for a Bose-Einstein condensate
• An ionic impurity in a Bose-Einstein condensate at sub-microkelvin temperatures
• Decoherence of a single-ion qubit immersed in a spin-polarized atomic bath
• Ultracold chemical reactions of a single Rydberg atom in a dense gas
• Exact open quantum system dynamics using the Hierarchy of Pure States (HOPS)
• Bose polaron as an instance of quantum Brownian motion
• Collective decoherence of cold atoms coupled to a Bose-Einstein condensate
• Probing a scattering resonance in Rydberg molecules with a Bose-Einstein condensate
• Dynamics, dephasing and clustering of impurity atoms in Bose-Einstein condensates
• Theory of excitation of Rydberg polarons in an atomic quantum gas
• Quantum simulation of energy transport with embedded Rydberg aggregates
• Transport of strong-coupling polarons in optical lattices
• Quantum spin dynamics of individual neutral impurities coupled to a Bose-Einstein condensate
• Critical slowdown of non-equilibrium polaron dynamics
• Probing BEC phase fluctuations with atomic quantum dots
• Trilobites, butterflies, and other exotic specimens of long-range Rydberg molecules
• Realization of a Rydberg-dressed Ramsey interferometer and electrometer
• Impurity transport through a strongly interacting bosonic quantum gas
• Non-Markovian probes in ultracold gases
• 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
• Single-atom aided probe of the decoherence of a Bose-Einstein condensate
• Phase-Imprinting of Bose-Einstein Condensates with Rydberg Impurities
• Inelastic collision dynamics of a single cold ion immersed in a Bose-Einstein condensate
• Non-Markovian polaron dynamics in a trapped Bose-Einstein condensate
• Accessing Rydberg-dressed interactions using many-body Ramsey dynamics
• Quantum dynamics of Bose-polaron in a $d$-dimensional Bose Einstein condensate
• Two distinguishable impurities in BEC: squeezing and entanglement of two Bose polarons
• Cooling of trapped ions by resonant charge exchange
• Controlling decoherence speed limit of a single impurity atom in a Bose-Einstein-condensate reservoir
• Control of anomalous diffusion of a Bose polaron
• Heat current control in trapped BEC
• Tracking Rydberg atoms with Bose-Einstein Condensates
• Orthogonal flexible Rydberg aggregates
• 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

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