Effective Quantum Dynamics of Interacting Systems with Inhomogeneous Coupling

Abstract

We study the quantum dynamics of a single mode/particle interacting inhomogeneously with a large number of particles and introduce an effective approach to find the accessible Hilbert space where the dynamics takes place. Two relevant examples are given: the inhomogeneous Tavis-Cummings model (e.g., N atomic qubits coupled to a single cavity mode, or to a motional mode in trapped ions) and the inhomogeneous coupling of an electron spin to N nuclear spins in a quantum dot.

9 pages and 10 figures, new version, accepted in Physical Review A

References in corpus (5)

• Hyperfine interaction in a quantum dot: Non-Markovian electron spin dynamics
• Knight Field Enabled Nuclear Spin Polarization in Single Quantum Dots
• Recipes for spin-based quantum computing
• Bistability of the Nuclear Polarisation created through optical pumping in InGaAs Quantum Dots
• Tavis-Cummings model and collective multi-qubit entanglement in trapped ions

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• Generation and controllable switching of superradiant and subradiant states in a 10-qubit superconducting circuit
• Unusual Dynamical Properties of Disordered Polaritons in Micocavities
• Exploring the quantum critical behaviour in a driven Tavis-Cummings circuit
• Demonstrating W-type Entanglement of Dicke-States in Resonant Cavity Quantum Electrodynamics
• Dynamics of Entanglement Transfer Through Multipartite Dissipative Systems
• Tunable electromagnetic environment for superconducting quantum bits
• Dynamics of the inhomogeneous Dicke model
• The role of dephasing for dark state coupling in a molecular Tavis-Cummings model
• Selective Control of the Symmetric Dicke Subspace in Trapped Ions
• The classical and quantum dynamics of the inhomogeneous Dicke model and its Ehrenfest time
• Excitation spectrum for an inhomogeneously dipole-field-coupled superconducting qubit chain
• Entanglement properties in the Inhomogeneous Tavis-Cummings model
• Tuning and Amplifying the Interactions in Superconducting Quantum Circuits with Subradiant Qubits
• Engineering Atom-Photon Hybridization with Density-Modulated Atomic Ensembles in Coupled Cavities