Systematic Analysis of Crystalline Phases in Bosonic Lattice Models with Algebraically Decaying Density-Density Interactions
arXiv:2212.02091 · doi:10.21468/SciPostPhys.14.5.136
Abstract
We propose a general approach to analyse diagonal ordering patterns in bosonic lattice models with algebraically decaying density-density interactions on arbitrary lattices. The key idea is a systematic search for the energetically best order on all unit cells of the lattice up to a given extent. Using resummed couplings we evaluate the energy of the ordering patterns in the thermodynamic limit using finite unit cells. We apply the proposed approach to the atomic limit of the extended Bose-Hubbard model on the triangular lattice at fillings and . We investigate the ground-state properties of the antiferromagnetic long-range Ising model on the triangular lattice and determine a six-fold degenerate plain-stripe phase to be the ground state for finite decay exponents. We also probe the classical limit of the Fendley-Sengupta-Sachdev model describing Rydberg atom arrays. We focus on arrangements where the atoms are placed on the sites or links of the Kagome lattice. \changed{Our method provides a general framework to treat cristalline structures resulting from long-range interactions.
arXiv comment35 pages, 11 figures
References in corpus (85)
- Many-Body Physics with Ultracold Gases
- Cold bosonic atoms in optical lattices
- Global Optimization by Basin-Hopping and the Lowest Energy Structures of Lennard-Jones Clusters Containing up to 110 Atoms
- Quantum information with Rydberg atoms
- Trapped-Ion Quantum Computing: Progress and Challenges
- Many-Body Physics with Individually-Controlled Rydberg Atoms
- Observation of a Many-Body Dynamical Phase Transition with a 53-Qubit Quantum Simulator
- Quantum Phases of Matter on a 256-Atom Programmable Quantum Simulator
- Statistical mechanics and dynamics of solvable models with long-range interactions
- Engineered 2D Ising interactions on a trapped-ion quantum simulator with hundreds of spins
- An atom-by-atom assembler of defect-free arbitrary 2d atomic arrays
- Observation of entanglement propagation in a quantum many-body system
- A Rydberg Quantum Simulator
- Probing Topological Spin Liquids on a Programmable Quantum Simulator
- Non-local propagation of correlations in long-range interacting quantum systems
- Realizing quantum Ising models in tunable two-dimensional arrays of single Rydberg atoms
- Programmable quantum simulation of 2D antiferromagnets with hundreds of Rydberg atoms
- Two-step melting in two dimensions: First-order liquid-hexatic transition
- Parallel implementation of high-fidelity multi-qubit gates with neutral atoms
- Quantum spin dynamics and entanglement generation with hundreds of trapped ions
- Experimental realization of a symmetry protected topological phase of interacting bosons with Rydberg atoms
- Emergence and Frustration of Magnetic Order with Variable-Range Interactions in a Trapped Ion Quantum Simulator
- Quantum chemistry calculations on a trapped-ion quantum simulator
- Onset of a Quantum Phase Transition with a Trapped Ion Quantum Simulator
- Ising models of quantum frustration
- Supersolid hardcore bosons on the triangular lattice
- Strong-coupling expansions for the pure and disordered bose Hubbard model
- 2D Melting: From Liquid-Hexatic Coexistence to Continuous Transitions
- Extended Bose-Hubbard Models with Ultracold Magnetic Atoms
- Dynamical Quantum Phase Transitions in Spin Chains with Long-Range Interactions: Merging different concepts of non-equilibrium criticality
- Competing density-wave orders in a one-dimensional hard-boson model
- Non-equilibrium quantum magnetism in a dipolar lattice gas
- Ground State of the Kagome Lattice Heisenberg Antiferromagnet
- Randomized benchmarking of single qubit gates in a 2D array of neutral atom qubits
- New frontiers with quantum gases of polar molecules
- Prediction of Toric Code Topological Order from Rydberg Blockade
- Classical critical behavior of spin models with long-range interactions
- Quantum phases of Rydberg atoms on a kagome lattice
- Creation of a low-entropy quantum gas of polar molecules in an optical lattice
- Thermodynamics and dynamics of systems with long-range interactions
- Two-dimensional periodic frustrated Ising models in a transverse field
- Stochastic series expansion method for quantum Ising models with arbitrary interactions
- Metastable states of a gas of dipolar bosons in a 2D optical lattice
- Observing the space- and time-dependent growth of correlations in dynamically tuned synthetic Ising antiferromagnets
- Universal gates based on targeted phase shifts in a 3D neutral atom array
- Physics of low energy singlet states of the Kagome lattice quantum Heisenberg antiferromagnet
- Interplay of quantum and thermal fluctuations in a frustrated magnet
- Superfluids and Supersolids on Frustrated 2D Lattices
- Coulomb systems at low density
- Observing emergent hydrodynamics in a long-range quantum magnet
- Novel Colloidal Crystalline States on Two Dimensional Periodic Substrates
- Experimental Realization of a Quantum Integer-Spin Chain with Controllable Interactions
- Criticality and Phase Diagram of Quantum Long-Range models
- The boundary between long-range and short-range critical behavior
- Finite-range interacting Ising quantum magnets with Rydberg atoms in optical lattices - From Rydberg superatoms to crystallization
- Theory of magnetization plateaux in the Shastry-Sutherland model
- Quantum Engineering of a Low-Entropy Gas of Heteronuclear Bosonic Molecules in an Optical Lattice
- Critical behavior of quantum magnets with long-range interactions in the thermodynamic limit
- Devil's staircases and supersolids in a one-dimensional dipolar Bose gas
- Supersolid phase induced by correlated hopping in spin-1/2 frustrated quantum magnets
- Dynamics and Thermodynamics of Systems with Long Range Interactions: an Introduction
- Stern-Gerlach detection of neutral atom qubits in a state dependent optical lattice
- Quantum criticality of two-dimensional quantum magnets with long-range interactions
- Quantum-critical properties of the long-range transverse-field Ising model from quantum Monte Carlo simulations
- Topological aspects of symmetry breaking in triangular-lattice Ising antiferromagnets
- Disorder by disorder and flat bands in the kagome transverse field Ising model
- Extended Bose-Hubbard Model with dipolar and contact interactions
- Quantum Monte Carlo Study of Long-Range Transverse-Field Ising Models on the Triangular Lattice
- Quantum criticality and excitations of a long-range anisotropic -chain in a transverse field
- Quantum criticality of the transverse-field Ising model with long-range interactions on triangular-lattice cylinders
- Ordering and Melting in Colloidal Molecular Crystal Mixtures
- Statics and Dynamics of Yukawa Cluster Crystals on Ordered Substrates
- Competing Valence Bond Crystals in the Kagome Quantum Dimer Model
- Scaling at quantum phase transitions above the upper critical dimension
- Phase diagram of the quantum Ising model with long-range interactions on an infinite-cylinder triangular lattice
- Absence of single particle Bose-Einstein condensation at low densities for bosons with correlated-hopping
- Superfluid phases induced by the dipolar interactions
- Staircase of crystal phases of hard-core bosons on the Kagome lattice
- Spin-liquid behaviour and the interplay between Pokrovsky-Talapov and Ising criticality in the distorted, triangular-lattice, dipolar Ising antiferromagnet
- Supersolid phases of ultracold bosons trapped in optical lattices dressed with Rydberg -states
- Quantum phases of dipolar bosons in one-dimensional optical lattices
- Frustration and Melting of Colloidal Molecular Crystals
- Supersolid phases of Rydberg-excited bosons on a triangular lattice
- Multi-mode Bose-Hubbard model for quantum dipolar gases in confined geometries
- Continuously varying critical exponents in long-range quantum spin ladders
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- Monte Carlo based techniques for quantum magnets with long-range interactions
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- Fractal ground state of ion chains in periodic potentials
- Quantum frustrated Wigner chains
- Programmable order by disorder effect and underlying phases through dipolar quantum simulators