Transient Dynamical Phase Diagram of the Spin-Boson Model at Finite Temperature
arXiv:2509.02345 · doi:10.1103/ffk6-jpps
Abstract
We present numerically exact inchworm quantum Monte Carlo results for the real-time dynamics of the spin polarization in the sub-Ohmic spin-boson model at finite temperature. We focus in particular on the localization and coherence behavior of the model, extending our previous study at low temperature [Phys. Rev. Lett. 134, 056502 (2025)]. As the temperature increases, the system becomes less localized and less coherent. The loss of coherence, which is controlled by two independent mechanisms -- a smooth damping-driven crossover and a sharp frequency-driven transition -- exhibits a nontrivial temperature dependence. While both types of coherence loss occur at lower coupling in the high temperature regime, the frequency exhibits a sharper drop at high temperatures and this drop is observed for all values of the sub-Ohmic exponent, in contrast to the zero-temperature case. We discuss the full temperature-dependent dynamical phase diagram of the system and the interplay between coherence and localization across a wide range of physical parameters.
References in corpus (86)
- Continuous-time Monte Carlo methods for quantum impurity models
- Non-Markovian dynamics in open quantum systems
- A continuous-time solver for quantum impurity models
- Ultrastrong coupling regimes of light-matter interaction
- Efficient non-Markovian quantum dynamics using time-evolving matrix product operators
- Real-time path integral approach to nonequilibrium many-body quantum system
- Diagrammatic Monte Carlo simulation of non-equilibrium systems
- Numerical Renormalization Group for Bosonic Systems and Application to the Subohmic Spin-Boson Model
- Taming the dynamical sign problem in real-time evolution of quantum many-body problems
- Classical critical behavior of spin models with long-range interactions
- Real-Time Diagrammatic Monte Carlo for Nonequilibrium Quantum Transport
- Memory Effects In Nonequilibrium Quantum Impurity Models
- Quantum phase transitions in the sub-ohmic spin-boson model: Failure of the quantum-classical mapping
- The quantum phase transition in the sub-ohmic spin-boson model: Quantum Monte-Carlo study with a continuous imaginary time cluster algorithm
- Numerically Exact Long Time Magnetization Dynamics at the Nonequilibrium Kondo Crossover of the Anderson Impurity Model
- Equilibrium and non-equilibrium dynamics of the sub-ohmic spin-boson model
- Mesoscopic Spin-Boson Models of Trapped Ions
- A hybrid stochastic hierarchy equations of motion approach to treat the low temperature dynamics of non-Markovian open quantum systems
- Critical and strong-coupling phases in one- and two-bath spin-boson models
- Numerically exact open quantum systems simulations for arbitrary environments using automated compression of environments
- A variational description of the quantum phase transition in the sub-Ohmic spin-boson model
- On the spin--boson model with a sub--Ohmic bath
- Green's functions from real-time bold-line Monte Carlo: spectral properties of the nonequilibrium Anderson impurity model
- Nonequilibrium Energy Transfer at Nanoscale: A Unified Theory from Weak to Strong Coupling
- Sparse polynomial space approach to dissipative quantum systems: Application to the sub-ohmic spin-boson model
- Probing the strongly driven spin-boson model in a superconducting quantum circuit
- Persistence of coherent quantum dynamics at strong dissipation
- Quantum Monte-Carlo for correlated out-of-equilibrium nanoelectronics devices
- Learning Feynman Diagrams with Tensor Trains
- Bold Line Diagrammatic Monte Carlo Method: General formulation and application to expansion around the Non-Crossing Approximation
- Efficient simulation of non-Markovian system-environment interaction
- Exact dynamics of non-additive environments in non-Markovian open quantum systems
- Quantum dynamics of the dissipative two-state system coupled with a sub-Ohmic bath
- Green's functions from real-time bold-line Monte Carlo
- Inchworm Monte Carlo for exact non-adiabatic dynamics I. Theory and algorithms
- Numerically Exact Long Time Behavior of Nonequilibrium Quantum Impurity Models
- Variational dynamics of the sub-Ohmic spin-boson model on the basis of multiple Davydov states
- Real-Time Dynamics in Quantum Impurity Models with Diagrammatic Monte Carlo
- Ultraslow quantum dynamics in a sub-Ohmic heat bath
- Quantum simulation of the spin-boson model with a microwave circuit
- Inchworm Monte Carlo for exact non-adiabatic dynamics II. Benchmarks and comparison with established methods
- Numerically exact full counting statistics of the nonequilibrium Anderson impurity model
- Currents and Green's functions of impurities out of equilibrium -- results from inchworm Quantum Monte Carlo
- Finite-temperature time-dependent variation with multiple Davydov states
- Quantum heat statistics with time-evolving matrix product operators
- Signatures of a Noise-Induced Quantum Phase Transition in a Mesoscopic Metal Ring
- Non-Canonical Statistics of a Spin-Boson Model: Theory and Exact Monte-Carlo Simulations
- Reconstructing the quantum critical fan of strongly correlated systems via quantum correlations
- Coherent-incoherent transition in the sub-Ohmic spin-boson model
- Dynamics of Kondo voltage splitting after a quantum quench
- Quantum Quasi-Monte Carlo Technique for Many-Body Perturbative Expansions
- A Quantum Monte Carlo algorithm for out-of-equilibrium Green's functions at long times
- Dynamics of the sub-Ohmic spin-boson model: a time-dependent variational study
- Quantum Monte Carlo in the steady-state
- Quantum Monte Carlo solution of the dynamical mean field equations in real time
- Inclusion-Exclusion Principle for Many-Body Diagrammatics
- The Hidden Phase of the Spin-Boson Model
- Multiorbital Quantum Impurity Solver for General Interactions and Hybridizations
- Numerical Renormalization Group for the sub-ohmic spin-boson model: A conspiracy of errors
- Numerically exact counting statistics of energy current in the Kondo regime
- Quantum Simulation of Spin-Boson Models with Structured Bath
- Revealing strong correlations in higher order transport statistics: a noncrossing approximation approach
- Nonequilibrium transport in quantum impurity models: Exact path integral simulations
- Density matrix renormalization group approach of the spin-boson model
- Lead Geometry and Transport Statistics in Molecular Junctions
- Quantum Quasi-Monte Carlo algorithm for out-of-equilibrium Green functions at long times
- Auxiliary master equation for nonequilibrium dual-fermion approach
- Spin-boson quantum phase transition in multilevel superconducting qubits
- Inclusion-Exclusion Principle for Open Quantum Systems with Bosonic Bath
- Dynamic Control of Nonequilibrium Metal-Insulator Transitions
- Dynamics of the spin-boson model: the effect of bath initial conditions
- Fast Algorithms of Bath Calculations in Simulations of Quantum System-Bath Dynamics
- Diagrammatic Monte Carlo for Dissipative Quantum Impurity Models
- Dynamics of quantum coherences at strong coupling to a heat bath
- Reduced Dynamics of Full Counting Statistics
- Interaction expansion inchworm Monte Carlo solver for lattice and impurity models
- Microwave Scattering in the Subohmic Spin-Boson Systems of Superconducting Circuits
- The Bold-Thin-Bold Diagrammatic Monte Carlo Method for Open Quantum Systems
- Stark-Many body localization in interacting infinite dimensional systems
- Real-Time Simulation of Open Quantum Spin Chains with Inchworm Method
- Transient dynamical phase diagram of the spin-boson model
- Inchworm quasi Monte Carlo for quantum impurities
- Numerical variational simulations of quantum phase transitions in the sub-Ohmic spin-boson model with multiple polaron ansatz
- Equilibrium Dynamics of the Sub-Ohmic Spin-boson Model At Finite Temperature
- Solving Caldeira-Leggett Model by Inchworm Method with Frozen Gaussian Approximation
- Transient Dynamical Phase Diagram of the Spin-Boson Model at Finite Temperature