Quantum Membrane Phases in Synthetic Lattices of Cold Molecules or Rydberg Atoms

• URL: http://arxiv.org/abs/2202.08540v1
• Date: Thu, 17 Feb 2022 09:32:32 GMT
• Title: Quantum Membrane Phases in Synthetic Lattices of Cold Molecules or Rydberg Atoms
• Authors: Chunhan Feng, Hannah Manetsch, Valery G. Rousseau, Kaden R. A. Hazzard and Richard Scalettar
• Abstract summary: We calculate properties of dipolar interacting ultracold molecules or Rydberg atoms in a semi-synthetic three-dimensional configuration. We find a finite-temperature transition at sufficiently large $V$, as well as a quantum phase transition -- a critical value $V_c$ below which the transition temperature vanishes.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We calculate properties of dipolar interacting ultracold molecules or Rydberg atoms in a semi-synthetic three-dimensional configuration -- one synthetic dimension plus a two-dimensional real space optical lattice or periodic microtrap array -- using the stochastic Green function Quantum Monte Carlo method. Through a calculation of thermodynamic quantities and appropriate correlation functions, along with their finite size scalings, we show that there is a second order transition to a low temperature phase in which two-dimensional `sheets' form in the synthetic dimension of internal rotational or electronic states of the molecules or Rydberg atoms, respectively. Simulations for different values of the interaction $V$, which acts between atoms or molecules that are adjacent both in real and synthetic space, allow us to compute a phase diagram. We find a finite-temperature transition at sufficiently large $V$, as well as a quantum phase transition -- a critical value $V_c$ below which the transition temperature vanishes.

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