4.8 Article

Two-dimensional Rydberg Gases and the Quantum Hard-Squares Model

Journal

PHYSICAL REVIEW LETTERS
Volume 107, Issue 6, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.107.060406

Keywords

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Funding

  1. EPSRC
  2. EPSRC [EP/H024069/1] Funding Source: UKRI
  3. Engineering and Physical Sciences Research Council [EP/H024069/1] Funding Source: researchfish

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We study a two-dimensional lattice gas of atoms that are photoexcited to Rydberg states in which they interact via the van der Waals interaction. We explore the regime of dominant nearest-neighbor interaction where this system is intimately connected with a quantum version of Baxter's hard-squares model. We show that the strongly correlated ground state of the Rydberg gas can be analytically described by a projected entangled pair state that constitutes the ground state of the quantum hard-squares model. This correspondence allows us to identify a phase boundary where the Rydberg gas undergoes a transition from a disordered (liquid) phase to an ordered (solid) phase.

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