On the adiabatic preparation of spatially-ordered Rydberg excitations of atoms in a one-dimensional optical lattice by laser frequency sweeps

Abstract

We examine the adiabatic preparation of crystalline phases of Rydberg excitations in a one-dimensional lattice gas by frequency sweep of the excitation laser, as proposed by Pohl et al. [Phys. Rev. Lett. 104, 043002 (2010)] and recently realized experimentally by Schauß et al. [Science 347, 1455 (2015)]. We find that the preparation of crystals of a few Rydberg excitations in a unitary system of several tens of atoms requires exceedingly long times for the adiabatic following of the ground state of the system Hamiltonian. Using quantum stochastic (Monte-Carlo) wavefunction simulations, we show that realistic decay and dephasing processes affecting the atoms during the preparation lead to a final state of the system that has only a small overlap with the target crystalline state. Yet, the final number and highly sub-Poissonian statistics of Rydberg excitations and their spatial order are little affected by the relaxations.

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References in corpus (9)

• Observation of mesoscopic crystalline structures in a two-dimensional Rydberg gas
• Dipole blockade in a cold Rydberg atomic sample
• Storage and control of optical photons using Rydberg polaritons
• Dynamical crystallization in a low-dimensional Rydberg gas
• Quantum critical behavior in strongly interacting Rydberg gases
• Two-Stage Melting in Systems of Strongly Interacting Rydberg Atoms
• Steady-state crystallization of Rydberg excitations in an optically driven lattice gas
• Antiferromagnetic long-range order in dissipative Rydberg lattices
• Entropic enhancement of spatial correlations in a laser-driven Rydberg gas

Cited by in corpus (8)

• Probing many-body dynamics on a 51-atom quantum simulator
• Quantum simulation and computing with Rydberg-interacting qubits
• Observing the space- and time-dependent growth of correlations in dynamically tuned synthetic Ising antiferromagnets
• Finite-range interacting Ising quantum magnets with Rydberg atoms in optical lattices - From Rydberg superatoms to crystallization
• Deterministic free-space source of single photons using Rydberg atoms
• Non-adiabatic quantum state preparation and quantum state transport in chains of Rydberg atoms
• Quasiparticle spectra of supersolid lattice gases at near-resonant Rydberg-dressing
• Microscopic dynamics and an effective Landau-Zener transition in the quasi-adiabatic preparation of spatially ordered states of Rydberg excitations