Quantum Monte Carlo simulation in the canonical ensemble at finite temperature

Abstract

A quantum Monte Carlo method with non-local update scheme is presented. The method is based on a path-integral decomposition and a worm operator which is local in imaginary time. It generates states with a fixed number of particles and respects other exact symmetries. Observables like the equal-time Green's function can be evaluated in an efficient way. To demonstrate the versatility of the method, results for the one-dimensional Bose-Hubbard model and a nuclear pairing model are presented. Within the context of the Bose-Hubbard model the efficiency of the algorithm is discussed.

11 pages, 8 figures

References in corpus (7)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Pairing in nuclear systems: from neutron stars to finite nuclei
• Recent Developments of World-Line Monte Carlo Methods
• Directed Loop Updates for Quantum Lattice Models
• Solving the Richardson equations for Fermions
• Loop updates for quantum Monte Carlo simulations in the canonical ensemble
• Optimal Monte Carlo Updating

Cited by in corpus (24)

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• Engineering Local optimality in Quantum Monte Carlo algorithms
• Directed update for the Stochastic Green Function algorithm
• Temperature changes when adiabatically ramping up an optical lattice
• Ab Initio Finite Temperature Auxiliary Field Quantum Monte Carlo
• The superfluid-insulator transition in the disordered two-dimensional Bose-Hubbard model
• Pair formation and collapse in imbalanced Fermion populations with unequal masses
• Supersolids in one dimensional Bose Fermi mixtures
• Superfluid and Mott Insulator phases of one-dimensional Bose-Fermi mixtures
• A review of Monte Carlo simulations for the Bose-Hubbard model with diagonal disorder
• Mott insulators and correlated superfluids in ultracold Bose-Fermi mixtures
• Projected Quasi-particle Perturbation theory
• Quantum Monte Carlo study of the visibility of one-dimensional Bose-Fermi mixtures
• SmoQyDQMC.jl: A flexible implementation of determinant quantum Monte Carlo for Hubbard and electron-phonon interactions (version 2.0 release)
• Combining symmetry breaking and restoration with configuration interaction: a highly accurate many-body scheme applied to the pairing Hamiltonian
• Light-induced quantum droplet phases of lattice bosons in multimode cavities
• Microscopic calculation of symmetry projected nuclear level densities
• Thermodynamics of small superconductors with fixed particle number
• One-dimensional Hubbard-Holstein model with finite range electron-phonon coupling
• Quantum Monte Carlo method for pairing phenomena: Super-counter-fluid of two-species Bose gases in optical lattices
• Quantum Membrane Phases in Synthetic Lattices of Cold Molecules or Rydberg Atoms