Trapped Rydberg Ions: From Spin Chains to Fast Quantum Gates

Abstract

We study the dynamics of Rydberg ions trapped in a linear Paul trap, and discuss the properties of ionic Rydberg states in the presence of the static and time-dependent electric fields constituting the trap. The interactions in a system of many ions are investigated and coupled equations of the internal electronic states and the external oscillator modes of a linear ion chain are derived. We show that strong dipole-dipole interactions among the ions can be achieved by microwave dressing fields. Using low-angular momentum states with large quantum defect the internal dynamics can be mapped onto an effective spin model of a pair of dressed Rydberg states that describes the dynamics of Rydberg excitations in the ion crystal. We demonstrate that excitation transfer through the ion chain can be achieved on a nanosecond timescale and discuss the implementation of a fast two-qubit gate in the ion chain.

26 pages, 9 figures

References in corpus (36)

• Anyons in an exactly solved model and beyond
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Dipole Blockade and Quantum Information Processing in Mesoscopic Atomic Ensembles
• Fast quantum gates for neutral atoms
• Quantum Communication Through an Unmodulated Spin Chain
• A toolbox for lattice spin models with polar molecules
• Effective quantum spin systems with ion traps
• Time-resolved Observation and Control of Superexchange Interactions with Ultracold Atoms in Optical Lattices
• Local Blockade of Rydberg Excitation in an Ultracold Gas
• Quantum dynamics of cold trapped ions, with application to quantum computation
• Quantum Communication through Spin Chain Dynamics: an Introductory Overview
• Controlled exchange interaction between pairs of neutral atoms in an optical lattice
• Evidence for coherent collective Rydberg excitation in the strong blockade regime
• Fast and robust two-qubit gates for scalable ion trap quantum computing
• Three-body interactions with cold polar molecules
• Quantum Computing with an 'Always On' Heisenberg Interaction
• Effective Spin Quantum Phases in Systems of Trapped Ions
• Coherent Quantum Optical Control with Subwavelength Resolution
• Rydberg excitation of Bose-Einstein condensates
• Perfect quantum state transfer with randomly coupled quantum chains
• Mechanical effect of van der Waals interactions observed in real time in an ultracold Rydberg gas
• Bounds on Information Propagation in Disordered Quantum Spin Chains
• From perfect to fractal transmission in spin chains
• Survival Probabilities in Coherent Exciton Transfer with Trapping
• Coherent control of trapped ions using off-resonant lasers
• An echo experiment in a strongly interacting Rydberg gas
• Nonlinear coupling of continuous variables at the single quantum level
• Designing spin-1 lattice models using polar molecules
• Quantum state transfer and time-dependent disorder in Quantum Chains
• Laser cooling with electromagnetically induced transparency: Application to trapped samples of ions or neutral atoms
• Entangling ions in arrays of microscopic traps
• Entanglement localization by a single defect in a spin chain
• Controlling ultracold Rydberg atoms in the quantum regime
• Quantum channels in random spin chains
• Efficient quantum computation within a disordered Heisenberg spin-chain
• Information transfer rates in spin quantum channels

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• Designing Frustrated Quantum Magnets with Laser-Dressed Rydberg Atoms
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• Quantum Simulations with Cold Trapped Ions
• Dynamical phases and intermittency of the dissipative quantum Ising model
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• Scalable quantum computation via local control of only two qubits
• Sub-microsecond entangling gate between trapped ions via Rydberg interaction
• Spectral properties of simple classical and quantum reset processes
• Adiabatic quantum computation with Rydberg-dressed atoms
• Resolved-sideband laser cooling in a Penning trap
• Unitary and non-unitary quantum cellular automata with Rydberg arrays
• Digital Quantum Simulation with Rydberg Atoms
• Coherent control of a single trapped Rydberg ion
• Metastability in an open quantum Ising model
• Excitation transport through Rydberg dressing
• Rydberg superatoms: An artificial quantum system for quantum information processing and quantum optics
• Thermalization of a strongly interacting closed spin system: From coherent many-body dynamics to a Fokker-Planck equation
• Rydberg excitation of trapped cold ions: A detailed case study
• Long-range multi-body interactions and three-body anti-blockade in a trapped Rydberg ion chain
• Controlled long-range interactions between Rydberg atoms and ions
• Rydberg excitation of a single trapped ion
• Exciton dynamics in emergent Rydberg lattices
• Electronically excited cold ion crystals
• Thermalization in a coherently driven ensemble of two-level systems
• A single strontium Rydberg ion confined in a Paul trap
• Hexagonal Plaquette Spin-spin Interactions and Quantum Magnetism in a Two-dimensional Ion Crystal
• Entangling quantum gate in trapped ions via Rydberg blockade
• Exploring the many-body dynamics near a conical intersection with trapped Rydberg ions
• Effects of long-range hopping and interactions on quantum walk in ordered and disordered lattices
• Triple resonant four-wavemixing boosts the yield of continuous coherent VUV generation
• Bilayers of Rydberg atoms as a quantum simulator for unconventional superconductors
• Scaling Trapped Ion Quantum Computers Using Fast Gates and Microtraps
• Emergent devil's staircase without particle-hole symmetry in Rydberg quantum gases with competing attractive and repulsive interactions
• Parallel execution of quantum gates in a long linear ion chain via Rydberg mode shaping
• Topological Color Codes and Two-Body Quantum Lattice Hamiltonians
• Manipulating phonons of a trapped-ion system using optical tweezers
• Highly-polarizable ion in a Paul trap
• Landau-Majorana-Stuckelberg-Zener dynamics driven by coupling for two interacting qutrit systems
• Trapped Rydberg ions: a new platform for quantum information processing
• Exploring non-equilibrium phases of the generalized Dicke model with a trapped Rydberg ion quantum simulator
• Simulating polaron biophysics with Rydberg atoms
• Shuttling of Rydberg ions for fast entangling operations
• Motional-Mode Analysis of Trapped Ions
• Characterizing the local vectorial electric field near an atom chip using Rydberg state spectroscopy
• Rydberg spectrum of a single trapped Ca${}^{+}$ ion: A Floquet analysis
• Rydberg ion flywheel for quantum work storage
• From the open Heisenberg model to the Landau-Lifshitz equation
• Mode shaping in mixed ion crystals of 40Ca2+ and 40Ca+
• Dipole-dipole induced global motion of Rydberg-dressed atom clouds
• Observation of effects due to an atom's electric quadrupole polarizability
• Emulating quantum state transfer through a spin-1 chain on a 1D lattice of superconducting qutrits
• Precision measurement of the ionization energy of a single trapped ${}^{40}$Ca${}^{+}$ ion by Rydberg series excitation
• Greenberger-Horne-Zeilinger state generation in qubit-chains via a single $\pi /2$-pulse
• Spectral Signatures of Vibronic Coupling in Trapped Cold Ionic Rydberg Systems
• Rydberg ions in coherent motional states: A new method for determining the polarizability of Rydberg ions
• Guiding of Rydberg atoms in a high-gradient magnetic guide
• Properties of quantum stochastic walks from the asymptotic scaling exponent
• Rapid and Robust generation of Einstein--Podolsky--Rosen pairs with Spin Chains
• Impact of micromotion and field-axis misalignment on the excitation of Rydberg states of ions in a Paul trap
• Stochastic Thermodynamics at the Quantum-Classical Boundary: A Self-Consistent Framework Based on Adiabatic-Response Theory
• Quasiperiodic Floquet-Gibbs states in Rydberg atomic systems
• Tripartite quantum Rabi model with trapped Rydberg ions
• Vibrationally coupled Rydberg atom-ion molecules
• Spin Phonon Relaxation Dynamics from a Conical Intersection of Trapped Rydberg Ions
• Magic trapping of a Rydberg ion with a diminished static polarizability
• Barenco gate implementation using driven two- and three-qubit spin chains