Entanglement Entropy, decoherence, and quantum phase transition of a dissipative two-level system
arXiv:0711.2301 · doi:10.1016/j.aop.2007.12.003
Abstract
The concept of entanglement entropy appears in multiple contexts, from black hole physics to quantum information theory, where it measures the entanglement of quantum states. We investigate the entanglement entropy in a simple model, the spin-boson model, which describes a qubit (two-level system) interacting with a collection of harmonic oscillators that models the environment responsible for decoherence and dissipation. The entanglement entropy allows to make a precise unification between entanglement of the spin with its environment, decoherence, and quantum phase transitions. We derive exact analytical results which are confirmed by Numerical Renormalization Group arguments both for an ohmic and a subohmic bosonic bath. Those demonstrate that the entanglement entropy obeys universal scalings. We make comparisons with entanglement properties in the quantum Ising model and in the Dicke model. We also emphasize the possibility of measuring this entanglement entropy using charge qubits subject to electromagnetic noise; such measurements would provide an empirical proof of the existence of entanglement entropy.
38 pages, 8 figures, related to cond-mat/0612095 and arXiv:0705.0957; final version to appear in Annals of Physics
References in corpus (15)
- Holographic Derivation of Entanglement Entropy from AdS/CFT
- Matrix product states represent ground states faithfully
- Entanglement entropy of 2D conformal quantum critical points: hearing the shape of a quantum drum
- Numerical Renormalization Group for Bosonic Systems and Application to the Subohmic Spin-Boson Model
- Phase diagram and critical exponents of a dissipative Ising spin chain in a transverse magnetic field
- Entanglement and Criticality in Quantum Impurity Systems
- Universal conductance of nanowires near the superconductor-metal quantum transition
- Topological Entanglement Entropy from the Holographic Partition Function
- Towards measuring Entanglement Entropies in Many Body Systems
- Quantum Impurity Entanglement
- Universal and measurable entanglement entropy in the spin-boson model
- Entanglement Energetics at Zero Temperature
- Dynamical Disentanglement across a Point Contact in a Non-Abelian Quantum Hall State
- Kondo physics and dissipation: A numerical renormalization-group approach to Bose-Fermi Kondo models
- Replacing energy by von Neumann entropy in quantum phase transitions
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