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International conference on fiber optics and photonics

Creation of entangled states via Transitionless Quantum Driving

Koushik Paul, Amarendra K. Sarma

Published Jan 1, 2016• 0 citations
Publisher

Abstract

Transitionless quantum driving, a well-known shortcut to Adiabaticity technique is applied on a pair of two state systems to prepare a robust entangled state in extremely short time and with high fidelity.
DOI
10.1364/photonics.2016.w3a.30

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We propose an effective scheme of shortcuts to adiabaticity for generating a three-dimensional entanglement of two atoms trapped in a cavity using the transitionless quantum driving (TQD) approach. The key point of this approach is to construct an effective Hamiltonian that drives the dynamics of a system along instantaneous eigenstates of a reference Hamiltonian to reproduce the same final state as that of an adiabatic process within a much shorter time. In this paper, the shortcuts to adiabatic passage are constructed by introducing two auxiliary excited levels in each atom and applying extra cavity modes and classical fields to drive the relevant transitions. Thereby, the three-dimensional entanglement is obtained with a faster rate than that in the adiabatic passage. Moreover, the influences of atomic spontaneous emission and photon loss on the fidelity are discussed by numerical simulation. The results show that the speed of entanglement implementation is greatly improved by the use of adiabatic shortcuts and that this entanglement implementation is robust against decoherence. This will be beneficial to the preparation of high-dimensional entanglement in experiment and provides the necessary conditions for the application of high-dimensional entangled states in quantum information processing.