Entanglement and dephasing of quantum dissipative systems

Abstract

The von Neumann entropy of various quantum dissipative models is calculated in order to discuss the entanglement properties of these systems. First, integrable quantum dissipative models are discussed, i.e., the quantum Brownian motion and the quantum harmonic oscillator. In case of the free particle, the related entanglement of formation shows no non-analyticity. In case of the dissipative harmonic oscillator, there is a non-analyticity at the transition of underdamped to overdamped oscillations. We argue that this might be a general property of dissipative systems. We show that similar features arise in the dissipative two level system and study different regimes using sub-Ohmic, Ohmic and and super-Ohmic baths, within a scaling approach.

arXiv comment7 pages, 3 figures

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• Replacing energy by von Neumann entropy in quantum phase transitions
• Entanglement crossover close to a quantum critical point
• Separation-dependent localization in a two-impurity spin-boson model
• Quantum-entanglement aspects of polaron systems
• Real-time methods for spectral functions
• Effect of system level structure and spectral distribution of the environment on the decoherence rate
• Quantum phase transitions in a charge-coupled Bose-Fermi Anderson model
• Entanglement of spin chains with general boundaries and of dissipative systems