Supersolidity in Rydberg tweezer arrays

Abstract

Rydberg tweezer arrays provide a versatile platform to explore quantum magnets with dipolar XY or van-der-Waals Ising ZZ interactions. Here, we propose a scheme combining dipolar and van-der-Waals interactions between two Rydberg states, where the amplitude of the latter can be greater than that of the former, realizing an extended Hubbard model with long-range tunnelings in optical tweezer arrays. On the triangular lattice with repulsive interactions, we predict the existence of a robust supersolid phase with a critical entropy per particle $S/N\approx 0.19$ accessible in current Rydberg tweezer experiments supported by large-scale quantum Monte Carlo simulations. We further demonstrate the experimental feasibility by identifying pairs of Rydberg states in ${}^{87}$Rb realizing the required interactions. Such a lattice supersolid is long-lived, found over a wide parameter range in an isotropic and flat two-dimensional geometry, and can be realized for 100s of particles allowing one to directly probe the defect-induced picture of supersolids. Its thermodynamical and dynamical properties can hence be studied at a far larger scale than hitherto possible.

5+2 pages, 3+3 figures

References in corpus (30)

• Probing many-body dynamics on a 51-atom quantum simulator
• Many-Body Physics with Individually-Controlled Rydberg Atoms
• Logical quantum processor based on reconfigurable atom arrays
• Probing Topological Spin Liquids on a Programmable Quantum Simulator
• Observation of the supersolid stripe phase in spin-orbit coupled Bose-Einstein condensates
• Demonstration of multi-qubit entanglement and algorithms on a programmable neutral atom quantum computer
• Supersolid formation in a quantum gas breaking continuous translational symmetry
• Transient supersolid properties in an array of dipolar quantum droplets
• Long-lived and transient supersolid behaviors in dipolar quantum gases
• Dipolar physics: A review of experiments with magnetic quantum gases
• Supersolid hardcore bosons on the triangular lattice
• Supersolids versus phase separation in two-dimensional lattice bosons
• Two-dimensional supersolidity in a dipolar quantum gas
• Continuous Symmetry Breaking in a Two-dimensional Rydberg Array
• Giant Magnetocaloric Effect in Spin Supersolid Candidate Na${}_2$BaCo(PO${}_4$)${}_2$
• Scalable spin squeezing in a dipolar Rydberg atom array
• Striped states in a many-body system of tilted dipoles
• Dipolar quantum solids emerging in a Hubbard quantum simulator
• Droplets of trapped quantum dipolar bosons
• The phase diagram of the antiferromagnetic XXZ model on the triangular lattice
• A dual-species Rydberg array
• Spin Supersolidity in Nearly Ideal Easy-axis Triangular Quantum Antiferromagnet Na${}_2$BaCo(PO${}_4$)${}_2$
• Benchmarking highly entangled states on a 60-atom analog quantum simulator
• Spatially tunable spin interactions in neutral atom arrays
• Continuum excitations in a spin-supersolid on a triangular lattice
• Magnetism in the two-dimensional dipolar XY model
• Antiferromagnetic bosonic $t$-$J$ models and their quantum simulation in tweezer arrays
• Quantum Phases from Competing Van der Waals and Dipole-Dipole Interactions of Rydberg Atoms
• Universal Correlations as Fingerprints of Transverse Quantum Fluids
• Transverse Quantum Fluids

Cited by in corpus (5)

• Macroscopic Particle Transport in Dissipative Long-Range Bosonic Systems
• Tunable two-species spin models with Rydberg atoms in circular and elliptical states
• Field-induced magnon decays in dipolar quantum magnets
• Quantum criticality and factorization in a constrained Rydberg spin chain
• Double Supersolid Phase in a Bosonic t-J-V Model with Rydberg Atoms