Programmable order by disorder effect and underlying phases through dipolar quantum simulators

Abstract

In this work, we study two different quantum simulators composed of molecules with dipole-dipole interaction through various theoretical and numerical tools. Our first result provides knowledge upon the quantum order by disorder effect of the $S=1/2$ system, which is programmable in a quantum simulator composed of circular Rydberg atoms in the triangular optical lattice with a controllable diagonal anisotropy. When the numbers of up spins and down spins are equal, a set of sub-extensive degenerate ground states is present in the classical limit, composed of continuous strings whose configuration enjoys a large degree of freedom. Adopting the the real space perturbation theory, our calculation demonstrates a lifting of the degeneracy, favoring the stripe configuration. When $J$ becomes larger, we adopt the infinite projected entangled-pair state~(iPEPS) and numerically check the effect of degeneracy lifting. The iPEPS results show that even when the spin exchange coupling is strong the stripe pattern is still favored. Next, we study the dipolar bosonic model with tilted polar angle which can be realized through a quantum simulator composed of cold atomic gas with dipole-dipole interaction in an optical lattice. By placing the atoms in a triangular lattice and tilting the polar angle, the diagonal anisotropy can also be realized in the bosonic system. With our cluster mean-field theory calculation, we provide various phase diagrams with different tilted angles, showing the abundant underlying phases including the supersolid. Our proposal indicates realizable scenarios through quantum simulators in studying the quantum effect as well as extraordinary phases. We believe that our results indicated here can also become a good benchmark for the two-dimensional quantum simulators.

15 pages, 6 figures, 2 tables

References in corpus (31)

• Many-Body Physics with Ultracold Gases
• Probing many-body dynamics on a 51-atom quantum simulator
• Classical simulation of infinite-size quantum lattice systems in two spatial dimensions
• Transient supersolid properties in an array of dipolar quantum droplets
• Long-lived and transient supersolid behaviors in dipolar quantum gases
• Consequences of Zeeman Degeneracy for van der Waals Blockade between Rydberg Atoms
• Order by disorder and spiral spin liquid in frustrated diamond lattice antiferromagnets
• Unusual ordered phases of highly frustrated magnets: a review
• Geometric Frustration in Buckled Colloidal Monolayers
• Quantum phases of Rydberg atoms on a kagome lattice
• A concise review of Rydberg atom based quantum computation and quantum simulation
• Coherent dipole-dipole coupling between two single atoms at a Förster resonance
• Quantum order by disorder and accidental soft mode Er2Ti2O7
• Dipolar quantum solids emerging in a Hubbard quantum simulator
• Quantum Selection of Order in an $XXZ$ Antiferromagnet on a Kagomé Lattice
• Quantum logic and entanglement by neutral Rydberg atoms: methods and fidelity
• Molecular assembly of ground state cooled single atoms
• Quantum order by disorder in frustrated diamond lattice antiferromagnets
• Stripes, Zigzags, and Slow Dynamics in Buckled Hard Spheres
• Order-by-disorder in the antiferromagnetic Ising model on an elastic triangular lattice
• Order-by-disorder near criticality in $XY$ pyrochlore magnets
• Long-Lived Circular Rydberg Qubits of Alkaline-Earth Atoms in Optical Tweezers
• Real-space perturbation theory for frustrated magnets: application to magnetization plateaus
• Circularizing Rydberg atoms with time-dependent optical traps
• Array of Individual Circular Rydberg Atoms Trapped in Optical Tweezers
• Quantum versus thermal fluctuations in the fcc antiferromagnet: alternative routes to order by disorder
• Millisecond-lived circular Rydberg atoms in a room-temperature experiment
• Systematic Analysis of Crystalline Phases in Bosonic Lattice Models with Algebraically Decaying Density-Density Interactions
• Quantum phases of lattice dipolar bosons coupled to a high-finesse cavity
• Cubic ferromagnet and emergent $U(1)$ symmetry on its phase boundary
• Nonergodic dynamics for an impurity interacting with bosons in tilted lattice