Phases and collective modes of Rydberg atoms in an optical lattice

Abstract

We chart out the possible phases of laser driven Rydberg atoms in the presence of a hypercubic optical lattice. We define a pseudospin degree of freedom whose up(down) components correspond to the excited(ground) states of the Rydberg atoms and use them to demonstrate the realization of a canted Ising antiferromagnetic (CIAF) Mott phase of the atoms in these systems. We also show that on lowering the lattice depth, the quantum melting of the CIAF and density-wave (DW) Mott states (which are also realized in these systems) leads to supersolid (SS) phases of the atoms. We provide analytical expressions for the phase boundaries and collective excitations of these phases in the hardcore limit within mean-field theory and discuss possible experiments to test our theory.

v1; 4pg 4 figs + supplementary materials

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Cited by in corpus (11)

• Tuning between singlet, triplet, and mixed pairing states in an extended Hubbard chain
• Supersolid phases of ultracold bosons trapped in optical lattices dressed with Rydberg $p$-states
• Condensation versus Long-range Interaction: Competing Quantum Phases in Bosonic Optical Lattice Systems at Near-resonant Rydberg Dressing
• Phases, collective modes, and non-equilibrium dynamics of dissipative Rydberg atoms
• Phases and collective modes of bosons in a triangular lattice at finite temperature: A cluster mean field study
• Supersolid phases of Rydberg-excited bosons on a triangular lattice
• Density-wave steady-state phase of dissipative ultracold fermions with nearest-neighbor interactions
• Quasiparticle spectra of supersolid lattice gases at near-resonant Rydberg-dressing
• Decay-dephasing-induced steady states in bosonic Rydberg-excited quantum gases in an optical lattice
• Non-classical correlations in a class of spin chains with long-range interactions and exactly solvable ground states
• Finite temperature phases and excitations of bosons on a square lattice: A cluster mean field study