Quantum synchronization and entanglement of dissipative qubits coupled to a resonator
arXiv:2308.03617 · doi:10.3390/e26050415
Abstract
We study the properties of a driven cavity coupled to several qubits in the framework of a dissipative Jaynes-Cummings model. We show that the rotating wave approximation (RWA) allows to reduce the description of original driven model to an effective Jaynes-Cummings model with strong coupling between photons and qubits. Two semi-analytical approaches are developed to describe the steady state of this system. We first treat the weak dissipation limit where we derive perturbative series of rate equations that converge to the exact RWA steady-state except near the cavity resonance. This approach exactly describes the multi-photon resonances in the system. Then in the strong dissipation limit we introduce a semiclassical approximation which allows to reproduce the mean spin-projections and cavity state. This approach reproduces the RWA exactly in the strong dissipation limit but provides good qualitative trends even in more quantum regimes. We then focus on quantum synchronization of qubits through their coupling to the cavity. We demonstrate the entangled steady state of a pair of qubits synchronized through their interaction with a driven cavity in presence of dissipation and decoherence. Finally we discuss synchronization of a larger number of qubits.
20 pages, 12+4 figs
References in corpus (13)
- Coupling Superconducting Qubits via a Cavity Bus
- Microwave photonics with superconducting quantum circuits
- Climbing the Jaynes-Cummings Ladder and Observing its Sqrt(n) Nonlinearity in a Cavity QED System
- Dressed Collective Qubit States and the Tavis-Cummings Model in Circuit QED
- Two-Qubit State Tomography using a Joint Dispersive Read-Out
- Mutual information as an order parameter for quantum synchronization
- Synchronization and bistability of qubit coupled to a driven dissipative oscillator
- Quantum-limited optical time transfer for future geosynchronous links
- Quantum synchronization and entanglement of two qubits coupled to a driven dissipative resonator
- Quantum synchronization
- The nonlinear semiclassical dynamics of the unbalanced, open Dicke model
- Simultaneous bistability of qubit and resonator in circuit quantum electrodynamics
- Radical pair intersystem crossing: Quantum dynamics or incoherent kinetics?