Many-body theory of excitation dynamics in an ultracold Rydberg gas

Abstract

We develop a theoretical approach for the dynamics of Rydberg excitations in ultracold gases, with a realistically large number of atoms. We rely on the reduction of the single-atom Bloch equations to rate equations, which is possible under various experimentally relevant conditions. Here, we explicitly refer to a two-step excitation-scheme. We discuss the conditions under which our approach is valid by comparing the results with the solution of the exact quantum master equation for two interacting atoms. Concerning the emergence of an excitation blockade in a Rydberg gas, our results are in qualitative agreement with experiment. Possible sources of quantitative discrepancy are carefully examined. Based on the two-step excitation scheme, we predict the occurrence of an antiblockade effect and propose possible ways to detect this excitation enhancement experimentally in an optical lattice as well as in the gas phase.

arXiv comment12 pages, 8 figures

References in corpus (6)

• Dipole Blockade and Quantum Information Processing in Mesoscopic Atomic Ensembles
• Local Blockade of Rydberg Excitation in an Ultracold Gas
• Suppression of Excitation and Spectral Broadening Induced by Interactions in a Cold Gas of Rydberg Atoms
• Antiblockade in Rydberg excitation of an ultracold lattice gas
• Engineering single atom and single photon sources from entangled atomic ensembles
• Mechanical effect of van der Waals interactions observed in real time in an ultracold Rydberg gas

Cited by in corpus (81)

• Quantum information with Rydberg atoms
• ARC: An open-source library for calculating properties of alkali Rydberg atoms
• Dipole blockade in a cold Rydberg atomic sample
• Dynamical Crystallization in the Dipole Blockade of Ultracold Atoms
• Direct measurement of the van der Waals interaction between two Rydberg atoms
• Quantum critical behavior in strongly interacting Rydberg gases
• Evidence of antiblockade in an ultracold Rydberg gas
• Full counting statistics of laser excited Rydberg aggregates in a one-dimensional geometry
• Kinetic constraints, hierarchical relaxation and onset of glassiness in strongly interacting and dissipative Rydberg gases
• Out-of-equilibrium structures in strongly interacting Rydberg gases with dissipation
• Electromagnetically Induced Transparency in strongly interacting Rydberg Gases
• Signatures of Self-Organised Criticality in an Ultracold Atomic Gas
• Evolution from a molecular Rydberg gas to an ultracold plasma in a seeded supersonic expansion of NO
• Bistability vs. Metastability in Driven Dissipative Rydberg Gases
• Sub-Poissonian statistics of Rydberg-interacting dark-state polaritons
• Finite-range interacting Ising quantum magnets with Rydberg atoms in optical lattices - From Rydberg superatoms to crystallization
• Experimental observation of controllable kinetic constraints in a cold atomic gas
• Antiferromagnetic long-range order in dissipative Rydberg lattices
• Imaging the evolution of an ultracold strontium Rydberg gas
• Spatial correlations of Rydberg excitations in optically driven atomic ensembles
• Experimental signatures of an absorbing-state phase transition in an open driven many-body quantum system
• Driven-dissipative many-body systems with mixed power-law interactions: Bistabilities and temperature-driven non-equilibrium phase transitions
• Rydberg-Blockade Effects in Autler-Townes Spectra of Ultracold Strontium
• Dynamic formation of Rydberg aggregates at off-resonant excitation
• Stimulated adiabatic passage in a dissipative Rydberg superatom
• Cold and Ultracold Rydberg Atoms in Strong Magnetic Fields
• Strongly Coupled Plasmas via Rydberg-Blockade of Cold Atoms
• Quantum and Nonlinear Optics in Strongly Interacting Atomic Ensembles
• Non-equilibrium universality in the dynamics of dissipative cold atomic gases
• Many-body Rabi oscillations of Rydberg excitation in small mesoscopic samples
• Effective dynamics of strongly dissipative Rydberg gases
• Kinetic Monte Carlo modelling of dipole blockade in Rydberg excitation experiment
• Rabi oscillations between ground and Rydberg states and van der Waals blockade in a mesoscopic frozen Rydberg gas
• Stationary quantum coherence and transport in disordered networks
• Long-range potentials and $(n-1)d+ns$ molecular resonances in an ultracold rydberg gas
• Coherent versus incoherent excitation dynamics in dissipative many-body Rydberg systems
• Spontaneous avalanche dephasing in large Rydberg ensembles
• Out-of-equilibrium evolution of kinetically constrained many-body quantum systems under purely dissipative dynamics
• Effects of long-range hopping and interactions on quantum walk in ordered and disordered lattices
• From classical to quantum non-equilibrium dynamics of Rydberg excitations in optical lattices
• The Spectral Backbone of Excitation Transport in Ultra-Cold Rydberg Gases
• Stark-tuned Förster resonance and dipole blockade for two to five cold Rydberg atoms: Monte Carlo simulations for various spatial configurations
• A hybrid model for Rydberg gases including exact two-body correlations
• Uncovering the non-equilibrium phase structure of an open quantum spin system
• Finite-size effects in strongly interacting Rydberg gases
• Rydberg Aggregates
• Two-dimensional crystals of Rydberg excitations in a resonantly driven lattice gas
• Rydberg platform for non-ergodic chiral quantum dynamics
• Epidemic dynamics in open quantum spin systems
• Non-linear absorption and density dependent dephasing in Rydberg EIT-media
• Semi-analytical model for nonlinear light propagation in strongly interacting Rydberg gases
• Correlations of Rydberg excitations in an ultra-cold gas after an echo sequence
• Nonequilibrium phase transition in an open quantum spin system with long-range interaction
• Phase diagram of Rydberg atoms with repulsive van der Waals interaction
• Observation of many-body dynamics of Rydberg atoms based on antiblockade using two-color excitation
• Wireless network control of interacting Rydberg atoms
• Rydberg Composites
• Rydberg crystallization detection by statistical means
• Controlling the dipole blockade and ionization rate of Rydberg atoms in strong electric fields
• Orthogonal flexible Rydberg aggregates
• Slow Excitation Trapping in Quantum Transport with Long-Range Interactions
• Driven-dissipative Rydberg blockade in optical lattices
• Anomalous excitation facilitation in inhomogeneously broadened Rydberg gases
• Quantum signature for laser-driven correlated excitation of Rydberg atoms
• Radiation trapping in a dense cold Rydberg gas
• Spectral properties of finite laser-driven lattices of ultracold Rydberg atoms
• Tricritical directed percolation with long-range interaction in one and two dimensions
• Nonlinear absorption in interacting Rydberg electromagnetically-induced-transparency spectra on two-photon resonance
• Quantum-classical model for the formation of Rydberg molecules
• Artificial abelian gauge potentials induced by dipole-dipole interactions between Rydberg atoms
• Nonlocal nonlinear response of thermal Rydberg atoms and modulational instability in absorptive nonlinear media
• Towards Arbitrary QUBO Optimization: Analysis of Classical and Quantum-Activated Feedforward Neural Networks
• Dissipation-sensitive multi-photon excitations of strongly interacting Rydberg atoms
• Non-equilibrium physics of Rydberg lattices in the presence of noise and dissipative processes
• Rydberg atom arrays as quantum simulators for molecular dynamics
• Non-adiabatic dynamics in Rydberg gases with random atom positions
• Inhomogeneities and impurities in a dense one-dimensional Rydberg lattice gas
• Resonance-facilitated three-channel p-wave scattering
• Three-level rate equations in cold, disordered Rydberg gases
• Modeling Rydberg Gases using Random Sequential Adsorption on Random Graphs
• Deterministic facilitated excitation of the weakly-driven atom in heteronuclear Rydberg atom pairs beyond antiblockade