Spin-motion coupling in a circular Rydberg state quantum simulator: case of two atoms

Abstract

Rydberg atoms are remarkable tools for the quantum simulation of spin arrays. Circular Rydberg atoms open the way to simulations over very long time scales, using a combination of laser trapping of the atoms and spontaneous-emission inhibition, as shown in the proposal of a XXZ spin-array simulator based on chains of trapped circular atoms [T.L. Nguyen $\text{et al.}$, Phys. Rev. X 8, 011032 (2018)]. Such simulators could reach regimes (thermalization, glassy dynamics) that are out of the reach of those based on ordinary, low-angular-momentum short-lived Rydberg atoms. Over the promised long time scales, the unavoidable coupling of the spin dynamics with the atomic motion in the traps may play an important role. We study here the interplay between the spin exchange and motional dynamics in the simple case of two interacting circular Rydberg atoms confined in harmonic traps. The time evolution is solved exactly when the position dependence of the dipole-dipole interaction terms can be linearized over the extension of the atomic motion. We present numerical simulations in more complex cases, using the realistic parameters of the simulator proposal. We discuss three applications. First, we show that realistic experimental parameters lead to a regime in which atomic and spin dynamics become fully entangled, generating interesting non-classical motional states. We also show that, in other parameter regions, the spin dynamics notably depends on the initial temperature of the atoms in the trap, providing a sensitive motional thermometry method. Last, and most importantly, we discuss the range of parameters in which the motion has negligible influence over the spin dynamics.

arXiv comment18 pages, 12 figures

References in corpus (20)

• Quantum Computing in the NISQ era and beyond
• Many-Body Physics with Individually-Controlled Rydberg Atoms
• Quantum Phases of Matter on a 256-Atom Programmable Quantum Simulator
• Probing Topological Spin Liquids on a Programmable Quantum Simulator
• Programmable Quantum Simulations of Spin Systems with Trapped Ions
• Programmable quantum simulation of 2D antiferromagnets with hundreds of Rydberg atoms
• Quantum Simulators: Architectures and Opportunities
• Synthetic three-dimensional atomic structures assembled atom by atom
• Quantum Kibble-Zurek mechanism and critical dynamics on a programmable Rydberg simulator
• Controlling many-body dynamics with driven quantum scars in Rydberg atom arrays
• Observation of Time-Crystalline Eigenstate Order on a Quantum Processor
• Quantum gas microscopy of Kardar-Parisi-Zhang superdiffusion
• Three-dimensional trapping of individual Rydberg atoms in ponderomotive bottle beam traps
• Towards quantum simulation with circular Rydberg atoms
• Finite-range interacting Ising quantum magnets with Rydberg atoms in optical lattices - From Rydberg superatoms to crystallization
• Quantum Computing with Circular Rydberg Atoms
• Observation of thermalization and information scrambling in a superconducting quantum processor
• Long-lived circular Rydberg states of laser-cooled Rubidium atoms in a cryostat
• Vibrational dressing in Kinetically Constrained Rydberg Spin Systems
• Evaporative cooling to a Rydberg crystal close to its ground state

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• Interacting Circular Rydberg Atoms Trapped in Optical Tweezers
• Benchmarking direct and indirect dipolar spin-exchange interactions between two Rydberg atoms
• Coherent spin-phonon scattering in facilitated Rydberg lattices
• Fast quantum state preparation and bath dynamics using non-Gaussian variational ansatz and quantum optimal control
• Open quantum dynamics with variational non-Gaussian states and the truncated Wigner approximation
• Probing spin-motion coupling of two Rydberg atoms by a Stern-Gerlach-like experiment
• Tunable two-species spin models with Rydberg atoms in circular and elliptical states
• Generation of Motional Squeezed States for Neutral Atoms in Optical Tweezers