Entanglement between a qubit and the environment in the spin-boson model

Details Entanglement between a qubit and the environment in the spin-boson model Entanglement between a qubit and the environment in the spin-boson model

2003-02-07

arxiv.org/abs/quant-ph/0302055v3

Phys. Rev. A 68, 034301 (2003)

Physics

Quantum Physics

4 pages, 3 figures. Shortened version restricted to groundstate entanglement

Scientific paper

10.1103/PhysRevA.68.034301

The quantitative description of the quantum entanglement between a qubit and its environment is considered. Specifically, for the ground state of the spin-boson model, the entropy of entanglement of the spin is calculated as a function of $\alpha$, the strength of the ohmic coupling to the environment, and $\epsilon$, the level asymmetry. This is done by a numerical renormalization group treatment of the related anisotropic Kondo model. For $\epsilon=0$, the entanglement increases monotonically with $\alpha$, until it becomes maximal for $\alpha \lim 1^-$. For fixed $\epsilon>0$, the entanglement is a maximum as a function of $\alpha$ for a value, $\alpha = \alpha_M < 1$.

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