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Floating Phases in One-Dimensional Rydberg Ising Chains

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arxiv 1908.02068 v1 pith:EKID6BAZ submitted 2019-08-06 cond-mat.quant-gas cond-mat.stat-mechquant-ph

classification cond-mat.quant-gas cond-mat.stat-mechquant-ph
keywords phasephasesfloatingrydbergbeencrystallinediagramlattice
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We report on the quantitative ground state phase diagram of a van der Waals interacting chain of Rydberg atoms. These systems are known to host crystalline phases locked to the underlying lattice as well as a gapped, disordered phase. We locate and characterize a third type of phase, the so called floating phase, which can be seen as a one-dimensional 'crystalline' phase which is not locked to the lattice. These phases have been theoretically predicted to exist in the phase diagram, but were not reported so far. Our results have been obtained using state-of-the-art numerical tensor network techniques and pave the way for the experimental exploration of floating phases with existing Rydberg quantum simulators.

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Cited by 7 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Quantum criticality and factorization in a constrained Rydberg spin chain

    cond-mat.str-el 2026-05 unverdicted novelty 7.0 of 10

    Maps phase diagram of constrained Rydberg spin chain showing Luttinger liquid, antiferromagnetic order, paramagnet, two destruction mechanisms for order, and an exact ground-state factorization line.

  2. Non-magnetic floating phases in frustrated Haldane chains with a single-ion anisotropy

    cond-mat.str-el 2026-04 unverdicted novelty 7.0 of 10

    Numerical DMRG study of the anisotropic J1-J2 spin-1 chain uncovers two non-magnetic incommensurate floating Luttinger liquid phases emerging from the trimerized background, separated from the Haldane phase by a compo...

  3. Phase diagram of a dual-species Rydberg atom ladder

    cond-mat.quant-gas 2026-04 unverdicted novelty 6.0 of 10

    DMRG calculations of a dual-species Rydberg atom ladder reveal Z2, Z3, Z4 ordered phases, floating phases, a smooth Z2 crossover, and a multi-critical point where Ising, chiral, and first-order lines meet.

  4. Stabilization of bulk quantum orders in finite Rydberg atom arrays

    cond-mat.quant-gas 2026-04 unverdicted novelty 6.0 of 10

    A protocol leverages the disordered phase to set unbiased boundary configurations in finite Rydberg arrays, stabilizing bulk-like quantum order in 1D and 2D simulations.

  5. Infinite randomness criticality and localization of the floating phase in arrays of Rydberg atoms trapped with non-perfect tweezers

    cond-mat.str-el 2025-06 unverdicted novelty 5.0 of 10

    Numerical analysis shows quenched disorder from tweezer imperfections drives crossover to infinite-randomness fixed point in Kibble-Zurek dynamics and localizes the floating phase while preserving short-range incommen...

  6. Entanglement Structure Across $\mathbb{Z}_n$ Phase Transitions in 1D Rydberg Atom Arrays

    quant-ph 2026-06 unverdicted novelty 4.0 of 10

    Defines an entanglement-structure factor from Fourier analysis of site concurrences and compares it to local-density order parameters for Z_n transitions in Rydberg chains.

  7. Harnessing Quantum Dynamics for Robust and Scalable Quantum Extreme Learning Machines

    quant-ph 2025-03 unverdicted novelty 3.0 of 10

    TDVP-MPS simulations of Rydberg atom chains mitigate exponential concentration in QELM, yielding competitive MNIST accuracy via controlled entanglement and disorder without requiring exact quantum dynamics.

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