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Frontiers in Optics

Sudden Death of Entanglement Between Coupled Quantum Dots in a Cavity

Arnab Mitra, Hsiao-harng Shiau, Reeta Vyas

Published Jan 1, 2010• 0 citations
Publisher

Abstract

We study generation and time evolution of entanglement between two coupled quantum dots inside a driven cavity. In the presence of dissipation the entanglement may remain stationary, decay asymptotically, or show sudden death.
DOI
10.1364/fio.2010.jtua42

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The time evolution of entanglement between two quantum dots (QDs) trapped inside a cavity driven by a coherent quantized field is studied. In the presence of dissipation, entanglement shows many interesting features such as sudden death and revival, and finite steady state value after sudden death. We also investigate dependence of entanglement on dot variables and its relation to bistability. It is found that entanglement vanishes when the cavity field intensity approaches the upper branch of the bistability curve. When the cavity is driven by a modulated field in the presence of dissipation, it can periodically generate entanglement, which is much larger than the maximum value attained in the steady-state for this system but the dots are never fully entangled.
Entanglement of quantum systems is a key aspect to understanding the dynamics and behavior of mixed systems (density matrix) as bipartite quantum bits (qubits).Thus we need to have a reliable and accurate way to measure the entanglement degree of the system, i.e., how it evolves, so that raises several approaches to meet these demands.A quantifiable measure widely used is the "entanglement of formation" of a mixed state, defined as the minimum number required of "singlets" to create a set of pure states that represents the density matrix of the system.In this paper we consider a system of two semiconductor quantum dots embedded in its own cavity and coupled to the internal mode field of cavity type Jaynes-Cummings.The entanglement between the two quantum dots is investigated, and we show analytically that entanglement has very interesting, effects such as time evolution including the effect called sudden death.
Generation and dissipation of entanglement between two coupled quantum dots (QDs) in a cavity driven by a coherent field is studied. We find that it is possible to generate and sustain a large amount of entanglement between the quantum dots in the steady state, even in the presence of strong decay in both the cavity and the dots. We investigate the effect of different parameters (decay rates, coupling strengths, and detunings) on entanglement. We find that the cavity field shows bistability and study the effect of relevant parameters on the existence of this bistable behavior. We also study the correlation between the cavity field and the entanglement between the dots. The experimental viability of the proposed scheme is discussed.