Dynamics and control of entangled electron-photon states in nanophotonic systems with time-variable parameters

TL;DR

This paper develops an analytic framework for controlling entangled electron-photon states in nanophotonic systems with time-varying parameters, enabling precise manipulation of quantum states and entanglement.

Contribution

It provides approximate analytic solutions for the dynamics of strongly coupled open quantum systems with arbitrary modulation speeds, extending control capabilities beyond previous limitations.

Findings

Analytic solutions for quantum states under parameter modulation.

Protocols for switching entanglement on and off.

Decoupling of fermionic qubits via modulation-induced transparency.

Abstract

We study the dynamics of strongly coupled nanophotonic systems with time-variable parameters. The approximate analytic solutions are obtained for a broad class of open quantum systems including a two-level fermion emitter strongly coupled to a multimode quantized electromagnetic field in a cavity with time-varying cavity resonances or the electron transition energy. The coupling of the fermion and photon subsystems to their dissipative reservoirs is included within the stochastic equation of evolution approach, which is equivalent to the Lindblad approximation in the master equation formalism. The analytic solutions for the quantum states and the observables are obtained under the approximation that the rate of parameter modulation and the amplitude of the frequency modulation are much smaller than the optical transition frequencies. At the same time, they can be arbitrary with respect to the generalized Rabi oscillations frequency which determines the coherent dynamics. Therefore, our analytic theory can be applied to an arbitrary modulation of the parameters, both slower and faster than the Rabi frequency, for complete control of the quantum state. In particular, we demonstrate protocols for switching on and off the entanglement between the fermionic and photonic degrees of freedom, swapping between the quantum states, and the decoupling of the fermionic qubit from the cavity field due to modulation-induced transparency.