Phase diagram of Rydberg atoms with repulsive van der Waals interaction

Abstract

We report a quantum Monte Carlo calculation of the phase diagram of bosons interacting with a repulsive inverse sixth power pair potential, a model for assemblies of Rydberg atoms in the local van der Waals blockade regime. The model can be parametrized in terms of just two parameters, the reduced density and temperature. Solidification happens to the fcc phase. At zero temperature the transition density is found with the diffusion Monte Carlo method at density $\rho =3.9({\hslash }^2/m{C}_6{)}^{3/4}$, where $C_6$ is the strength of the interaction. The solidification curve at non-zero temperature is studied with the path integral Monte Carlo approach and is compared with transitions in corresponding harmonic and classical crystals. Relaxation mechanisms are considered in relation to present experiments, especially pertaining to hopping of the Rydberg excitation.

References in corpus (28)

• Local Blockade of Rydberg Excitation in an Ultracold Gas
• Three-dimensional Roton-Excitations and Supersolid formation in Rydberg-excited Bose-Einstein Condensates
• Suppression of Excitation and Spectral Broadening Induced by Interactions in a Cold Gas of Rydberg Atoms
• Evidence for coherent collective Rydberg excitation in the strong blockade regime
• Consequences of Zeeman Degeneracy for van der Waals Blockade between Rydberg Atoms
• Dynamical Crystallization in the Dipole Blockade of Ultracold Atoms
• A superfluid-droplet crystal and a free-space supersolid in a dipole-blockaded gas
• Monte Carlo Analysis of a New Interatomic Potential for He
• Quantum critical behavior in strongly interacting Rydberg gases
• Evidence of antiblockade in an ultracold Rydberg gas
• Rydberg excitation of Bose-Einstein condensates
• Spatially resolved observation of dipole-dipole interaction between Rydberg atoms
• Artificial atoms can do more than atoms: Deterministic single photon subtraction from arbitrary light fields
• Dynamical crystal creation with polar molecules or Rydberg atoms in optical lattices
• Many-body theory of excitation dynamics in an ultracold Rydberg gas
• Two-Stage Melting in Systems of Strongly Interacting Rydberg Atoms
• Coherent Population Trapping with Controlled Interparticle Interactions
• Zeros of Rydberg-Rydberg Foster Interactions
• High order Chin actions in path integral Monte Carlo
• Universal scaling in a strongly interacting Rydberg gas
• Critical temperature of interacting Bose gases in two and three dimensions
• Adiabatic Formation of Rydberg Crystals with Chirped Laser Pulses
• Two-dimensional Rydberg gases and the quantum hard squares model
• Modeling many-particle mechanical effects of an interacting Rydberg gas
• Dislocation-mediated melting of one-dimensional Rydberg crystals
• Quantum Statistical Calculations and Symplectic Corrector Algorithms
• Bose-Einstein Quantum Statistics and the Ground State of Solid 4He
• Zero-temperature equation of state of solid 4He at low and high pressures

Cited by in corpus (11)

• Defect-induced supersolidity with soft-core bosons
• Dipolar and spinor bosonic systems
• Phase Diagram of Rydberg atoms in a nonequilibrium optical lattice
• Exact Results for the Boundary Energy of One-Dimensional Bosons
• Beyond-Luttinger-Liquid thermodynamics of a one-dimensional contact repulsive Bose gas
• Rotons and Bose condensation in Rydberg-dressed Bose Gases
• Correlation properties of a one-dimensional repulsive Bose gas at finite temperature
• Rydberg Noisy-Dressing and applications in making soliton-molecules and droplet quasi-crystals
• A microscopic description of vacancies in solid 4He
• Hole-induced anomaly in the thermodynamic behavior of a one-dimensional Bose gas
• Particle-hole origin of thermal beating in dipole-compression modes of a 1D Bose gas