Finite-Temperature Auxiliary-Field Quantum Monte Carlo for Bose-Fermi Mixtures
arXiv:1209.0186 · doi:10.1103/PhysRevA.86.053606
Abstract
We present a quantum Monte Carlo (QMC) technique for calculating the exact finite-temperature properties of Bose-Fermi mixtures. The Bose-Fermi Auxiliary-Field Quantum Monte Carlo (BF-AFQMC) algorithm combines two methods, a finite-temperature AFQMC algorithm for bosons and a variant of the standard AFQMC algorithm for fermions, into one algorithm for mixtures. We demonstrate the accuracy of our method by comparing its results for the Bose-Hubbard and Bose-Fermi-Hubbard models against those produced using exact diagonalization for small systems. Comparisons are also made with mean-field theory and the worm algorithm for larger systems. As is the case with most fermion Hamiltonians, a sign or phase problem is present in BF-AFQMC. We discuss the nature of these problems in this framework and describe how they can be controlled with well-studied approximations to expand BF-AFQMC's reach. The new algorithm can serve as an essential tool for answering many unresolved questions about many-body physics in mixed Bose-Fermi systems.
arXiv comment19 pages, 6 figures
References in corpus (48)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- The density-matrix renormalization group
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Quantum computation with trapped polar molecules
- A quasi-pure Bose-Einstein condensate immersed in a Fermi sea
- The ALPS project release 2.0: Open source software for strongly correlated systems
- Counterflow Superfluidity of Two-Species Ultracold Atoms in a Commensurate Optical Lattice
- Two-species mixture of quantum degenerate Bose and Fermi gases
- Exact, Complete, and Universal Continuous-Time Worldline Monte Carlo Approach to the Statistics of Discrete Quantum Systems
- Quantum Monte Carlo method using phase-free random walks with Slater determinants
- Ultracold heteronuclear molecules in a 3D optical lattice
- Observation of Heteronuclear Feshbach Resonances in a Bose-Fermi Mixture
- Bose-Fermi Mixtures in a Three-dimensional Optical Lattice
- Localization of bosonic atoms by fermionic impurities in a 3d optical lattice
- Influence of Induced Interactions on the Superfluid Transition in Dilute Fermi Gases
- Free fermion antibunching in a degenerate atomic Fermi gas released from an optical lattice
- Atomic Bose-Fermi mixtures in an optical lattice
- A Constrained Path Quantum Monte Carlo Method for Fermion Ground States
- Supersolid versus Phase Separation in Atomic Bose-Fermi Mixture
- Tuning of heteronuclear interactions in a quantum-degenerate Fermi-Bose mixture
- Diagrammatic Monte Carlo
- Luttinger liquid of polarons in one-dimensional boson-fermion mixtures
- Interaction-driven Dynamics of 40K / 87Rb Fermi-Bose Gas Mixtures in the Large Particle Number Limit
- Heteronuclear molecules in an optical dipole trap
- Measurement of the interaction strength in a Bose-Fermi mixture with 87Rb and 40K
- Supersolid Bose-Fermi Mixtures in Optical Lattices
- Auxiliary-field quantum Monte Carlo calculations of molecular systems with a Gaussian basis
- Spatially inhomogeneous phase in the two-dimensional repulsive Hubbard model
- p-wave Cooper Pairing of Fermions in Mixtures of Dilute Fermi and Bose Gases
- Dynamical mean field solution of the Bose-Hubbard model
- Quantum Monte Carlo method for the ground state of many-boson systems
- High-Temperature Atomic Superfluidity in Lattice Boson-Fermion Mixtures
- Finite-Temperature Monte Carlo Calculations For Systems With Fermions
- Quantum field theory of dilute homogeneous Bose-Fermi-mixtures at zero temperature: general formalismand beyond mean-field corrections
- Mixture of bosonic and spin-polarized fermionic atoms in an optical lattice
- Bond breaking with auxiliary-field quantum Monte Carlo
- Dynamical mean-field theory for bosons
- Inhomogeneous atomic Bose-Fermi mixtures in cubic lattices
- Supersolids in one dimensional Bose Fermi mixtures
- Correlation effects in the ground state of trapped atomic Bose gases
- Superfluid and Mott Insulator phases of one-dimensional Bose-Fermi mixtures
- Generalized Dynamical Mean-Field Theory for Bose-Fermi Mixtures in Optical Lattices
- Mean-field theory of Bose-Fermi mixtures in optical lattices
- Mott insulators and correlated superfluids in ultracold Bose-Fermi mixtures
- Quantum Monte Carlo study of the visibility of one-dimensional Bose-Fermi mixtures
- Mixtures of correlated bosons and fermions: Dynamical mean-field theory for normal and condensed phases
- Heteronuclear quantum gas mixtures
- Boson Core Compressibility
Cited by in corpus (24)
- Ab initio computations of molecular systems by the auxiliary-field quantum Monte Carlo method
- QMCPACK: Advances in the development, efficiency, and application of auxiliary field and real-space variational and diffusion Quantum Monte Carlo
- Finite-temperature Auxiliary-Field Quantum Monte Carlo: Self-Consistent Constraint and Systematic Approach to Low Temperatures
- Computation of dynamical correlation functions for many fermion systems with auxiliary-field quantum Monte Carlo
- A Phaseless Auxiliary-Field Quantum Monte Carlo Perspective on the Uniform Electron Gas at Finite Temperatures: Issues, Observations, and Benchmark Study
- Ab Initio Finite Temperature Auxiliary Field Quantum Monte Carlo
- Chemical Transformations Approaching Chemical Accuracy via Correlated Sampling in Auxiliary-Field Quantum Monte Carlo
- Finite Temperature Auxiliary Field Quantum Monte Carlo in the Canonical Ensemble
- CPMC-Lab: A Matlab Package for Constrained Path Monte Carlo Calculations
- Reaching the continuum limit in finite-temperature ab initio field-theory computations in many-fermion systems
- Auxiliary-field based trial wave functions in quantum Monte Carlo calculations
- Constrained-Path Auxiliary-Field Quantum Monte Carlo for Coupled Electrons and Phonons
- Wave function methods for canonical ensemble thermal averages in correlated many-fermion systems
- Finite temperature properties of strongly correlated systems via variational Monte Carlo
- Confirming the role of nuclear tunnelling in aqueous ferrous-ferric electron transfer
- Unveiling the Finite Temperature Physics of Hydrogen Chains via Auxiliary Field Quantum Monte Carlo
- A Stable, Recursive Auxiliary Field Quantum Monte Carlo Algorithm in the Canonical Ensemble: Applications to Thermometry and the Hubbard Model
- Exact block encoding of imaginary time evolution with universal quantum neural networks
- Effective p-wave Fermi-Fermi Interaction Induced by Bosonic Superfluids
- Path Integral Monte Carlo study of particles obeying quantum mechanics and classical statistics
- Exact kinetic propagators for coherent state complex Langevin simulations
- Thermal coupled cluster theory for SU(2) systems
- Using density matrix quantum Monte Carlo for calculating exact-on-average energies for ab-initio Hamiltonians in a finite basis set
- Bootstrap Embedding for Interacting Electrons in Phonon Coherent-state Mean Field