Equilibrium Correlation Functions of the Spin-Boson Model with Sub-Ohmic Bath

Abstract

The spin-boson model is studied by means of flow equations for Hamiltonians. Our truncation scheme includes all coupling terms which are linear in the bosonic operators. Starting with the canonical generator ${\eta }_c=[H_0,H]$ with $H_0$ resembling the non-interacting bosonic bath, the flow equations exhibit a universal attractor for the Hamiltonian flow. This allows to calculate equilibrium correlation functions for super-Ohmic, Ohmic and sub-Ohmic baths within a uniform framework including finite bias.

4 pages, 3 figures

References in corpus (2)

• Charge echo in a Cooper-pair box
• Non-gaussian Noise in Quantum Spin Glasses and Interacting Two-level Systems

Cited by in corpus (16)

• Quantum dynamics of the dissipative two-state system coupled with a sub-Ohmic bath
• Ultraslow quantum dynamics in a sub-Ohmic heat bath
• Coherent-incoherent transition in the sub-Ohmic spin-boson model
• Flow Equations and Normal Ordering. A Survey
• Exploiting environmental resonances to enhance qubit quality factors
• Quantum impurity models of noisy qubits
• Entanglement and dephasing of quantum dissipative systems
• Dissipative flow equations
• Criticality of the Mean-Field Spin-Boson Model: Boson State Truncation and Its Scaling Analysis
• Does temperature favor quantum coherence of a dissipative two-level system?
• Non-equilibrium dynamics of a system with Quantum Frustration
• Universal asymptotic behavior in flow equations of dissipative systems
• Efficient flow equations for dissipative systems
• Flow equations for Hamiltonians: Contrasting different approaches by using a numerically solvable model
• Entanglement of spin chains with general boundaries and of dissipative systems
• Effects of a nonlinear bath at low temperatures