Transport induced melting of crystals of Rydberg dressed atoms in a one dimensional lattice

Abstract

We discuss the many-body physics of an ensemble of Rydberg dressed atoms with van der Waals dipole-dipole interactions in a one-dimensional lattice. Using a strong coupling expansion and numerical density-matrix renormalisation group simulations, we calculate the many-body phase diagram. A devil's staircase structure emerges with Mott-insulating phases at any rational filling fraction. Closed analytic expressions are given for the phase boundaries in second order of the tunnelling amplitude and shown to agree very well with the numerical results. The transition point where the incompressible phases melt due to the kinetic energy term depends strongly on the denominator of the filling fraction and varies over many orders of magnitude between different phases.

minor additions, 14 pages, 6 figures

References in corpus (8)

• The density-matrix renormalization group in the age of matrix product states
• Matrix product states represent ground states faithfully
• Many-body spin interactions and the ground state of a dense Rydberg lattice gas
• Electric-field induced dipole blockade with Rydberg atoms
• Supersolid phases in the one dimensional extended soft core Bosonic Hubbard model
• Two-Stage Melting in Systems of Strongly Interacting Rydberg Atoms
• Rabi oscillations and excitation trapping in the coherent excitation of a mesoscopic frozen Rydberg gas
• Dislocation-mediated melting of one-dimensional Rydberg crystals

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• Tuning between singlet, triplet, and mixed pairing states in an extended Hubbard chain
• Two-dimensional crystals of Rydberg excitations in a resonantly driven lattice gas
• Quantum Critical Behavior of One-Dimensional Soft Bosons in the Continuum
• Dynamical excitation of maxon and roton modes in a Rydberg-Dressed Bose-Einstein Condensate
• Nonlinear dynamics of Rydberg-dressed Bose-Einstein condensates in a triple-well potential
• 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
• Generalized Effective Potential Landau Theory for Bosonic Quadratic Superlattices
• Quantum melting of two-component Rydberg crystals
• Supersolid phases of Rydberg-excited bosons on a triangular lattice
• Density-wave steady-state phase of dissipative ultracold fermions with nearest-neighbor interactions
• Hyperchaos in a Bose-Hubbard chain with Rydberg-dressed interactions
• Quasiparticle spectra of supersolid lattice gases at near-resonant Rydberg-dressing
• Devil's staircases without particle-hole symmetry
• Decay-dephasing-induced steady states in bosonic Rydberg-excited quantum gases in an optical lattice
• String order in dipole-blockaded quantum liquids
• Microscopic dynamics and an effective Landau-Zener transition in the quasi-adiabatic preparation of spatially ordered states of Rydberg excitations
• Generalized effective-potential Landau theory for the two-dimensional extended Bose-Hubbard model
• Current quantization and fractal hierarchy in a driven repulsive lattice gas