Quantum Computation in a radio single mode cavity: the dissipative Jaynes and Cummings Model

TL;DR

This paper investigates how a Jaynes-Cummings system interacts with a vacuum electromagnetic field, analyzing entanglement dynamics and identifying conditions for stable, dissipation-resistant quantum states useful for quantum computing.

Contribution

It provides a quantitative analysis of entanglement in a dissipative Jaynes-Cummings model, highlighting conditions for decoherence-free regimes and stationary entanglement.

Findings

Identification of regimes where entanglement persists despite dissipation

Demonstration of stationary entanglement suitable for quantum gates

Quantitative characterization of field-induced cooperative effects

Abstract

In this paper we have considered the interaction of a Jaynes and Cummings system with the electromagnetic field in its vacuum state and, solving the dynamical problem, we have analyzed the amount of entanglement induced in the bipartite system (atom + cavity mode) by the common electromagnetic reservoir. This has allowed us to quantitatively characterize the regime under which field-induced cooperative effects are not vanished by dissipation. Once the Decoherence Free Regime is reached, transient entanglement tends to become stationary and, therefore, usable for quantum gate implementation.