Spin-boson dynamics: A unified approach from weak to strong coupling

Abstract

We present a novel approximation scheme to describe the influence of a harmonic bath on the dynamics of a two-level particle over almost the whole regime of temperatures and coupling to the environment, for a wide class of bath spectral densities. Starting from the exact path-integral solution for the two-level system density matrix, effective intra-blip correlations are fully included, while inter-blip and blip-sojourn interactions are considered up to first order. In the proper regimes, an excellent agreement with conventional perturbative approaches and ab-initio path-integral results is found.

6 pages, 4 figures (enlarged figures and minor changes to the text)

References in corpus (16)

• Quantum state engineering with Josephson-junction devices
• Coherent control of macroscopic quantum states in a single-Cooper-pair box
• Manipulating the Quantum State of an Electrical Circuit
• Coherent Quantum Dynamics of a Superconducting Flux Qubit
• Coherent manipulation of electronic states in a double quantum dot
• Manipulation of a single charge in a double quantum dot
• Equilibrium and non-equilibrium dynamics of the sub-ohmic spin-boson model
• Rigorous Born Approximation and beyond for the Spin-Boson Model
• On the spin--boson model with a sub--Ohmic bath
• Driven Tunneling Dynamics: Bloch-Redfield Theory versus Path Integral Approach
• Phonon Decoherence of a Double Quantum Dot Charge Qubit
• Non-Markovian dynamics of double quantum dot charge qubits due to acoustic phonons
• Entanglement spectroscopy of a driven solid-state qubit and its detector
• Coherent-incoherent transition in the sub-Ohmic spin-boson model
• Strong coupling theory for tunneling and vibrational relaxation in driven bistable systems
• A Dynamical Theory of Electron Transfer: Crossover from Weak to Strong Electronic Coupling

Cited by in corpus (7)

• Preservation of Positivity by Dynamical Coarse-Graining
• Non-perturbative stochastic method for driven spin-boson model
• Dissipative spin dynamics near a quantum critical point: Numerical Renormalization Group and Majorana diagrammatics
• The reaction coordinate mapping in quantum thermodynamics
• Diagrammatic description of a system coupled strongly to a bosonic bath
• Dynamics of large anisotropic spin in a sub-ohmic dissipative environment close to a quantum-phase transition
• Oscillator bath simulation of the spin bath