Quantum Monte Carlo simulation of spin-boson models using wormhole updates
arXiv:2108.01131 · doi:10.1103/PhysRevB.105.165129
Abstract
We present an exact quantum Monte Carlo method for spin systems coupled to dissipative bosonic baths which makes use of nonlocal wormhole updates to simulate the retarded spin-flip interactions originating from an off-diagonal spin-boson coupling. The method is closely related to the stochastic series expansion and extends the scope of the global directed-loop updates to nonlocal moves through a world-line configuration. We test our method for the U(1)-symmetric two-bath spin-boson model, where the off-diagonal components of a spin- particle are coupled to identical independent baths with power-law spectra, and get a precise estimate of the critical coupling between the critical and the localized phase. Our method applies to impurity systems and lattice models in any spatial dimension coupled to bosonic modes with arbitrary spectral distributions.
arXiv comment15 pages, 5 figures; final version
References in corpus (55)
- Many-Body Physics with Ultracold Gases
- Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
- Continuous-time Monte Carlo methods for quantum impurity models
- A continuous-time solver for quantum impurity models
- Locally critical quantum phase transitions in strongly correlated metals
- Effective quantum spin systems with ion traps
- Programmable Quantum Simulations of Spin Systems with Trapped Ions
- Quantum Monte Carlo with Directed Loops
- Stochastic series expansion method with operator-loop update
- Continuous Time Quantum Monte Carlo method for fermions
- Computational Studies of Quantum Spin Systems
- Exact, Complete, and Universal Continuous-Time Worldline Monte Carlo Approach to the Statistics of Discrete Quantum Systems
- Cluster Algorithm for Vertex Models
- Introduction to the Dicke model: from equilibrium to nonequilibrium, and vice versa
- The Loop Algorithm
- Numerical Renormalization Group for Bosonic Systems and Application to the Subohmic Spin-Boson Model
- Generalized Directed Loop Method for Quantum Monte Carlo Simulations
- Efficient DMFT-simulation of the Holstein-Hubbard Model
- Quantum Impurity in a Nearly Critical Two Dimensional Antiferromagnet
- Stochastic series expansion method for quantum Ising models with arbitrary interactions
- Mean-Field Theory of a Quantum Heisenberg Spin Glass
- Impurity Quantum Phase Transitions
- The quantum phase transition in the sub-ohmic spin-boson model: Quantum Monte-Carlo study with a continuous imaginary time cluster algorithm
- Anderson impurity in pseudo-gap Fermi systems
- Quantum impurity dynamics in two-dimensional antiferromagnets and superconductors
- Mesoscopic Spin-Boson Models of Trapped Ions
- Critical and strong-coupling phases in one- and two-bath spin-boson models
- Critical local moment fluctuations in the Bose-Fermi Kondo model
- Diagrammatic Determinantal methods: projective schemes and applications to the Hubbard-Holstein model
- Accessing the dynamics of large many-particle systems using Stochastic Series Expansion
- Quantum phase transitions in the Bose-Fermi Kondo model
- Quantum Monte Carlo in the Interaction Representation --- Application to a Spin-Peierls Model
- Phase diagram of the one dimensional Hubbard-Holstein Model at 1/2 and 1/4 filling
- Excitation spectra of strongly correlated lattice bosons and polaritons
- Dynamical mean-field theory for bosons
- Two-dimensional Holstein-Hubbard model: Critical temperature, Ising universality, and bipolaron liquid
- Quantum Magnetic Impurities in Magnetically Ordered Systems
- Continuous-time Quantum Monte Carlo using Worm Sampling
- Identifying a bath-induced Bose liquid in interacting spin-boson models
- Excitation spectra and correlation functions of quantum Su-Schrieffer-Heeger models
- Spin-boson coupling in continuous-time quantum Monte Carlo
- Two-bath spin-boson model: Phase diagram and critical properties
- Dynamical critical exponent of the Jaynes-Cummings-Hubbard model
- Effect of Electron-Phonon Interaction Range for a Half-Filled Band in One Dimension
- Comparative Study of State-of-the-Art Matrix-Product-State Methods for Lattice Models with Large Local Hilbert Spaces
- Quantum criticality in the pseudogap Bose-Fermi Anderson and Kondo models: Interplay between fermion- and boson-induced Kondo destruction
- Competing Orders and Unconventional Criticality in the Su-Schrieffer-Heeger Model
- Directed-Loop Quantum Monte Carlo Method for Retarded Interactions
- Valence-Bond Order in a Honeycomb Antiferromagnet Coupled to Quantum Phonons
- Continuous-time quantum Monte Carlo for fermion-boson lattice models: Improved bosonic estimators and application to the Holstein model
- Dynamical mean-field theory for quantum spin systems: Test of solutions for magnetically ordered states
- Cluster Monte Carlo Algorithms for Dissipative Quantum Systems
- Thermal and quantum lattice fluctuations in Peierls chains
- Bose-Fermi Anderson Model with SU(2) Symmetry: Continuous-Time Quantum Monte Carlo Study
- Continuous-Time Monte Carlo study of the pseudogap Bose-Fermi Kondo model
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- Dipolar ordering transitions in many-body quantum optics: Analytical diagrammatic approach to equilibrium quantum spins
- Full configuration interaction quantum Monte Carlo for coupled electron--boson systems and infinite spaces
- Quantum phase diagrams of Dicke-Ising models by a wormhole algorithm
- Schwinger-Keldysh non-perturbative field theory of open quantum systems beyond the Markovian regime: Application to spin-boson and spin-chain-boson models
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