Entanglement of a qubit coupled to a resonator in the adiabatic regime

Abstract

We discuss the ground state entanglement of a bi-partite system, composed by a qubit strongly interacting with an oscillator mode, as a function of the coupling strenght, the transition frequency and the level asymmetry of the qubit. This is done in the adiabatic regime in which the time evolution of the qubit is much faster than the oscillator one. Within the adiabatic approximation, we obtain a complete characterization of the ground state properties of the system and of its entanglement content.

arXiv comment6 pages, 7 figures

References in corpus (20)

• Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box
• Entanglement in quantum critical phenomena
• Distributed Entanglement
• Quantum state engineering with Josephson-junction devices
• Scaling of Entanglement close to a Quantum Phase Transitions
• Entanglement in a simple quantum phase transition
• Approaching Unit Visibility for Control of a Superconducting Qubit with Dispersive Readout
• Quantum Phase Transitions and Bipartite Entanglement
• Entanglement and the Phase Transition in Single Mode Superradiance
• Decoherence in Josephson Qubits from Junction Resonances
• Decoherence and 1/f noise in Josephson qubits
• Dynamics of a two-level system strongly coupled to a high-frequency quantum oscillator
• Initial decoherence in solid state qubits
• Entanglement and factorized ground states in two-dimensional quantum antiferromagnets
• Communicating Josephson Qubits
• Entanglement between a qubit and the environment in the spin-boson model
• Entanglement for rank-2 mixed states
• Entanglement and bifurcations in Jahn-Teller models
• Entanglement of a qubit with a single oscillator mode
• Macroscopic tunnel splittings in superconducting phase qubits

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• Variational study of a two-level system coupled to a harmonic oscillator in a ultrastrong coupling regime
• Scaling behavior in the adiabatic Dicke Model
• Scaling of Berry's Phase Close to the Dicke Quantum Phase Transition
• Geometric phases and quantum phase transitions
• Approximated integrability of the Dicke model
• Adiabatic invariants for the regular region of the Dicke model
• Parametric representation of open quantum systems and crossover from quantum to classical environment
• On the finite size behavior of quantum collective spin systems
• Ultrastrong coupling circuit QED in the radio-frequency regime
• Entanglement sharing in $E\otimes \epsilon$ Jahn-Teller model in the presence of a magnetic field
• Single Mode Approximation for sub-Ohmic Spin-Boson Model: Adiabatic Limit and Critical Properties