Entanglement dynamics of the ultra-strong coupling three-qubit Dicke model

Abstract

We give an analytical description of the dynamics of the three-qubit Dicke model using the adiabatic approximation in the parameter regime where the qubits transition frequencies are far off-resonance with the field frequency and the interaction strengths reach the ultra-strong coupling regimes. Qualitative differences arise when comparing to the single- and two-qubit systems - simple analytic formulas show that three revival sequences produce a three-frequency beat note in the time evolution of the population. We find an explicit way to estimate the dynamics for the qubit-field and qubit-qubit entanglement inside the three-qubit system in the ultra strong coupling regime, and the resistance to the sudden death proves the robustness of the GHZ state.

7 pages, 4 figures

References in corpus (18)

• Beyond the Jaynes-Cummings model: circuit QED in the ultrastrong coupling regime
• Observation of the Bloch-Siegert Shift in a Qubit-Oscillator System in the Ultrastrong Coupling Regime
• Propagating phonons coupled to an artificial atom
• Ultra-Strong Light-Matter Coupling Regime with Polariton Dots
• Sudden Birth Versus Sudden Death of Entanglement in Multipartite Systems
• Realization of the quantum Toffoli gate with trapped ions
• Ultrastrong coupling regime of cavity QED with phase-biased flux qubits
• Strong Coupling of a Quantum Oscillator to a Flux Qubit at its Symmetry Point
• Accurate numerical solution to the finite-size Dicke model
• Digital Quantum Rabi and Dicke Models in Superconducting Circuits
• Scalable quantum memory in the ultrastrong coupling regime
• Entangling polaritons via dynamical Casimir effect in circuit quantum electrodynamics
• Parity-dependent State Engineering and Tomography in the ultrastrong coupling regime
• Efficient construction of three- and four-qubit quantum gates by global entangling gates
• Concise analytic solutions to the quantum Rabi model with two arbitrary qubits
• Exact solvability, non-integrability, and genuine multipartite entanglement dynamics of the Dicke model
• Controllability and universal three-qubit quantum computation with trapped electron states
• Entanglement sharing in $E\otimes \epsilon$ Jahn-Teller model in the presence of a magnetic field

Cited by in corpus (10)

• The quantum Rabi model: solution and dynamics
• Frequency-renormalized multipolaron expansion for the quantum Rabi model
• Dark-like states for the multi-qubit and multi-photon Rabi models
• Analytical solutions and genuine multipartite entanglement of the three-qubit Dicke model
• Quantum Hysteresis in Coupled Light-Matter Systems
• An analytical variational method for the biased quantum Rabi model in the ultra-strong coupling regime
• Floquet analysis of extended Rabi models based on high-frequency expansion
• Mechanically modulated emission spectra and blockade of polaritons
• Uncover quantumness in the crossover from BEC to quantum-correlated phase
• Generation of matter threefold star state by dynamical transfer from photonic counterpart