Tunable two-species spin models with Rydberg atoms in circular and elliptical states

Abstract

We propose a scheme for constructing versatile quantum simulators using ultracold Rydberg atoms in long-lived circular and elliptical states. By exciting different subspaces of internal atomic states, the atoms can be used to simulate two effective spin species with different spin-spin interactions. The strengths of transverse and longitudinal spin-spin interactions, both intra- and inter-species, can be controlled within a wide range of values. This setup can be used to simulate two-species spin models or lattice models with two sublattices. We show examples of specific models which can be realized.

arXiv comment16 pages, 6 figures

References in corpus (62)

• Quantum information with Rydberg atoms
• Probing many-body dynamics on a 51-atom quantum simulator
• Dipole Blockade and Quantum Information Processing in Mesoscopic Atomic Ensembles
• Fast quantum gates for neutral atoms
• Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices
• Many-Body Physics with Individually-Controlled Rydberg Atoms
• Quantum Phases of Matter on a 256-Atom Programmable Quantum Simulator
• Topological Bands for Ultracold Atoms
• A Rydberg Quantum Simulator
• Demonstration of a neutral atom controlled-NOT quantum gate
• Probing Topological Spin Liquids on a Programmable Quantum Simulator
• Realizing quantum Ising models in tunable two-dimensional arrays of single Rydberg atoms
• Programmable quantum simulation of 2D antiferromagnets with hundreds of Rydberg atoms
• Schrieffer-Wolff transformation for quantum many-body systems
• Quantum Simulators: Architectures and Opportunities
• Synthetic three-dimensional atomic structures assembled atom by atom
• Experimental realization of a symmetry protected topological phase of interacting bosons with Rydberg atoms
• Rydberg atom quantum technologies
• Coherent Excitation Transfer in a Spin Chain of Three Rydberg Atoms
• A concise review of Rydberg atom based quantum computation and quantum simulation
• Microwave-engineering of programmable XXZ Hamiltonians in arrays of Rydberg atoms
• Tutorial: Calculation of Rydberg interaction potentials
• Three-dimensional trapping of individual Rydberg atoms in ponderomotive bottle beam traps
• Ytterbium nuclear-spin qubits in an optical tweezer array
• Confined quantum Zeno dynamics of a watched atomic arrow
• Exploring Interacting Topological Insulators with Ultracold Atoms: the Synthetic Creutz-Hubbard Model
• Spin-S Kitaev model: Classical Ground States, Order by Disorder and Exact Correlation Functions
• Towards quantum simulation with circular Rydberg atoms
• Emerging 2D Gauge theories in Rydberg configurable arrays
• Trapped arrays of alkaline earth Rydberg atoms in optical tweezers
• Finite-range interacting Ising quantum magnets with Rydberg atoms in optical lattices - From Rydberg superatoms to crystallization
• Quantum Computing with Circular Rydberg Atoms
• Single-Atom Addressing in Microtraps for Quantum-State Engineering using Rydberg Atoms
• Glassy dynamics in a disordered Heisenberg quantum spin system
• Continuous operation of large-scale atom arrays in optical lattices
• Accurate mapping of multilevel Rydberg atoms on interacting spin-$1/2$ particles for the quantum simulation of Ising models
• Laser Trapping of Circular Rydberg Atoms
• A far-off-resonance optical trap for a Ba${}^{+}$ ion
• Spatially tunable spin interactions in neutral atom arrays
• Coherent transfer between low-angular momentum and circular Rydberg states
• Long-Lived Circular Rydberg Qubits of Alkaline-Earth Atoms in Optical Tweezers
• Long-lived circular Rydberg states of laser-cooled Rubidium atoms in a cryostat
• Enhancing a Many-body Dipolar Rydberg Tweezer Array with Arbitrary Local Controls
• Preparation of Long-Lived, Non-Autoionizing Circular Rydberg States of Strontium
• Fast and accurate circularization of a Rydberg atom
• Circularizing Rydberg atoms with time-dependent optical traps
• Array of Individual Circular Rydberg Atoms Trapped in Optical Tweezers
• Active stabilization of kilogauss magnetic fields to the ppm level for magnetoassociation on ultranarrow Feshbach resonances
• Preparation of circular Rydberg states in helium with $n\ge 70$ using a modified version of the crossed-fields method
• Trimer quantum spin liquid in a honeycomb array of Rydberg atoms
• Optical coherent manipulation of alkaline-earth circular Rydberg states
• Millisecond-lived circular Rydberg atoms in a room-temperature experiment
• Assembled arrays of Rydberg-interacting atoms
• Spin-motion coupling in a circular Rydberg state quantum simulator: case of two atoms
• Quantum simulation of the central spin model with a Rydberg atom and polar molecules in optical tweezers
• Quantum dimer models with Rydberg gadgets
• Amorphous quantum magnets in a two-dimensional Rydberg atom array
• Supersolidity in Rydberg tweezer arrays
• Quantized Thouless pumps protected by interactions in dimerized Rydberg tweezer arrays
• Progress toward a zero-magnetic-field environment for ultracold-atom experiments
• Fractional quantum anomalous Hall phase for Raman superarray of Rydberg atoms
• Quadrupole coupling of circular Rydberg qubits to inner shell excitations