Numerical study of the hard-core Bose-Hubbard Model on an Infinite Square Lattice

Abstract

We present a study of the hard-core Bose-Hubbard model at zero temperature on an infinite square lattice using the infinite Projected Entangled Pair State algorithm [Jordan et al., Phys. Rev. Lett. 101, 250602 (2008)]. Throughout the whole phase diagram our values for the ground state energy, particle density and condensate fraction accurately reproduce those previously obtained by other methods. We also explore ground state entanglement, compute two-point correlators and conduct a fidelity-based analysis of the phase diagram. Furthermore, for illustrative purposes we simulate the response of the system when a perturbation is suddenly added to the Hamiltonian.

8 pages, 6 figures

References in corpus (10)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Classical simulation of infinite-size quantum lattice systems in one spatial dimension
• Ground state overlap and quantum phase transitions
• Classical simulation of infinite-size quantum lattice systems in two spatial dimensions
• Accurate determination of tensor network state of quantum lattice models in two dimensions
• The iTEBD algorithm beyond unitary evolution
• Tensor-entanglement renormalization group approach to 2D quantum systems
• Variational study of hard-core bosons in a 2-D optical lattice using Projected Entangled Pair States (PEPS)
• Ground state fidelity from tensor network representations
• First order phase transition in the anisotropic quantum orbital compass model

Cited by in corpus (38)

• A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States
• Tensor networks for complex quantum systems
• Simulation of two dimensional quantum systems on an infinite lattice revisited: corner transfer matrix for tensor contraction
• Studying Two Dimensional Systems With the Density Matrix Renormalization Group
• Fermionic Projected Entangled Pair States
• Tensor network study of the Shastry-Sutherland model in zero magnetic field
• Quantum Monte Carlo simulations of fidelity at magnetic quantum phase transitions
• Faster Methods for Contracting Infinite 2D Tensor Networks
• Implementing global Abelian symmetries in projected entangled-pair state algorithms
• Exploring corner transfer matrices and corner tensors for the classical simulation of quantum lattice systems
• Finite Correlation Length Scaling in Lorentz-Invariant Gapless iPEPS Wave Functions
• Monte Carlo simulation with Tensor Network States
• A tensor network annealing algorithm for two-dimensional thermal states
• Spin crossovers and superdiffusion in the one-dimensional Hubbard model
• Realizing the two-dimensional hard-core Bose-Hubbard model with superconducting qubits
• Renormalization group contraction of tensor networks in three dimensions
• Fate of the cluster state on the square lattice in a magnetic field
• A universal tensor network algorithm for any infinite lattice
• Finite-Size Geometric Entanglement from Tensor Network Algorithms
• Assessing the accuracy of projected entangled-pair states on infinite lattices
• Simulating two- and three-dimensional frustrated quantum systems with string-bond states
• Tensor network simulation of QED on infinite lattices: learning from (1+1)d, and prospects for (2+1)d
• Ground-state properties of the spin-1/2 antiferromagnetic Heisenberg model on the triangular lattice: A variational study based on entangled-plaquette states
• Tensor-network study of correlation-spreading dynamics in the two-dimensional Bose-Hubbard model
• Numerical Study of Spin-1/2 XXZ Model on Square Lattice from Tensor Product States
• Field Induced Spin Supersolidity in Frustrated Spin-1/2 Spin-Dimer Models
• Rabi oscillations, decoherence, and disentanglement in a qubit-spin-bath system: exact dynamics
• The spin-1/2 Kagome XXZ model in a field: competition between lattice nematic and solid orders
• On the stability of the infinite Projected Entangled Pair Operator ansatz for driven-dissipative 2D lattices
• Quantum phase transitions of two-species bosons in square lattice
• TeNeS: Tensor Network Solver for Quantum Lattice Systems
• Partial long-range order in antiferromagnetic Potts models
• Benchmarking global $SU(2)$ symmetry in 2d tensor network algorithms
• Determinant representations of spin-operator matrix elements in the XX spin chain and their applications
• Layer Pseudospin Magnetism in Transition-Metal-Dichalcogenide Double-Moirés
• Supersolid and charge density-wave states from anisotropic interaction in an optical lattice
• A universal black-box quantum Monte Carlo approach to quantum phase transitions
• Shot-noise reduction for lattice Hamiltonians