Equilibrium and non-equilibrium dynamics of the sub-ohmic spin-boson model

Abstract

Employing the non-perturbative numerical renormalization group method, we study the dynamics of the spin-boson model, which describes a two-level system coupled to a bosonic bath with spectral density J(omega) propto omega^s. We show that, in contrast to the case of ohmic damping, the delocalized phase of the sub-ohmic model cannot be characterized by a single energy scale only, due to the presence of a non-trivial quantum phase transition. In the strongly sub-ohmic regime, s<<1, weakly damped coherent oscillations on short time scales are possible even in the localized phase - this is of crucial relevance, e.g., for qubits subject to electromagnetic noise.

4 pages, 6 figures; final version, as published

References in corpus (3)

• Real-time dynamics in Quantum Impurity Systems: A Time-dependent Numerical Renormalization Group Approach
• Numerical Renormalization Group for Bosonic Systems and Application to the Subohmic Spin-Boson Model
• Spin Precession and Real Time Dynamics in the Kondo Model: A Time-Dependent Numerical Renormalization-Group Study

Cited by in corpus (41)

• The numerical renormalization group method for quantum impurity systems
• Exact mapping between system-reservoir quantum models and semi-infinite discrete chains using orthogonal polynomials
• Time-Dependent Mean Field Theory for Quench Dynamics in correlated electron systems
• High-performance solution of hierarchical equations of motions for studying energy-transfer in light-harvesting complexes
• Open quantum system dynamics and the mean force Gibbs state
• Dynamics, Synchronization and Quantum Phase Transitions of Two Dissipative Spins
• Charge transport through single molecules, quantum dots, and quantum wires
• A generalized multi-polaron expansion for the spin-boson model: Environmental entanglement and the biased two-state system
• Real Time Evolution in Quantum Many-Body Systems With Unitary Perturbation Theory
• Open Quantum System Dynamics from Infinite Tensor Network Contraction
• The Hidden Phase of the Spin-Boson Model
• A Numerical Renormalization Group approach to Non-Equilibrium Green's Functions for Quantum Impurity Models
• Exact propagation of open quantum systems in a system-reservoir context
• Absence versus Presence of Dissipative Quantum Phase Transition in Josephson Junctions
• Ground state properties of sub-Ohmic spin-boson model with simultaneous diagonal and off-diagonal coupling
• Symmetry and the critical phase of the two-bath spin-boson model: Ground-state properties
• Spin-boson dynamics beyond conventional perturbation theories
• Density matrix renormalization group approach of the spin-boson model
• Optimal broadening of finite energy spectra in the numerical renormalization group: application to dissipative dynamics in two-level systems
• Dissipative Two-Electron Transfer
• Controlling Matter Phases beyond Markov
• Dynamical renormalization group approach to the spin-boson model
• Uncovering nonperturbative dynamics of the biased sub-Ohmic spin-boson model with variational Matrix Product States
• Time-Correlated Blip Dynamics of Open Quantum Systems
• Spin-boson dynamics: A unified approach from weak to strong coupling
• Dephasing and pseudo-coherent quantum dynamics in super-Ohmic environments
• Bipartite entanglement dynamics of two-level systems in sub-Ohmic reservoirs
• Page-curve-like entanglement dynamics in open quantum systems
• Functional Renormalization Group Approach to Circuit Quantum Electrodynamics
• Spectral theory of non-Markovian dissipative phase transitions
• Ability of Markovian Master Equations to Model Quantum Computers and Other Systems Under Broadband Control
• Maximum Power of Coupled-Qubit Otto Engines
• Anisotropic signatures in the spin-boson model
• Entanglement of spin chains with general boundaries and of dissipative systems
• Dynamics of large anisotropic spin in a sub-ohmic dissipative environment close to a quantum-phase transition
• Dissipative systems fractionally coupled to a bath
• Schwinger-Keldysh non-perturbative field theory of open quantum systems beyond the Markovian regime: Application to spin-boson and spin-chain-boson models
• Consistent perturbative treatment of the subohmic spin-boson model yielding arbitrarily small $T_2/T_1$ decoherence time ratios
• Effective Hamiltonian approach to the quantum phase transitions in the extended Jaynes-Cummings model
• Transient Dynamical Phase Diagram of the Spin-Boson Model at Finite Temperature
• Spin-orbit coupled spin-boson model : A variational analysis