Phase diagram of Rydberg-dressed atoms on two-leg square ladders: Coupling supersymmetric conformal field theories on the lattice

Abstract

We investigate the phase diagram of hard-core bosons in two-leg ladders in the presence of soft-shoulder potentials. We show how the competition between local and non-local terms gives rise to a phase diagram with liquid phases with dominant cluster, spin-, and density-wave quasi-long-range ordering. These phases are separated by Berezinskii-Kosterlitz-Thouless, Gaussian, and supersymmetric (SUSY) quantum critical transitions. For the latter, we provide a phenomenological description of coupled SUSY conformal field theories, whose predictions are confirmed by matrix-product state simulations. Our results are motivated by, and directly relevant to, recent experiments with Rydberg-dressed atoms in optical lattices, where ladder dynamics has already been demonstrated, and emphasize the capabilities of these setups to investigate exotic quantum phenomena such as cluster liquids and coupled SUSY conformal field theories.

17 pages, 8 figures. Close to published version

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Cited by in corpus (10)

• Critical lines and ordered phases in a Rydberg-blockade ladder
• Symmetry-Enriched Criticality in a Coupled Spin-Ladder
• Phase diagram of Rydberg-dressed atoms on two-leg triangular ladders
• Numerical investigation of quantum phases and phase transitions in a two-leg ladder of Rydberg atoms
• Order-by-disorder and emergent Kosterlitz-Thouless phase in triangular Rydberg array
• Emergence of non-Abelian SU(2) invariance in Abelian frustrated fermionic ladders
• Phase diagram of Rydberg atoms in a two-leg rectangular ladder
• Toward Quantum Analog Simulation of Many-Body Supersymmetry with Rydberg Atom Arrays
• Two-dimensional $J_1$-$J_2$ clock model: Enhanced symmetries, emergent orders, and Landau-incompatible transitions
• Stability of the symmetry-protected topological phase and Ising transitions in a disordered U(1) quantum link model on a ladder