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Chaos Solitons & Fractals

Decoherence in a field and time-symmetry breaking

Tomio Yamakoshi Petrosky, Chu-Ong Ting, Valeri Abulevich Barsegov

Published Dec 2, 2002• 3 citations
Publisher
DOI
10.1016/s0960-0779(02)00298-9

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Quantum state evolution, a cornerstone of quantum computation, is inherently susceptible to decoherence due to environmental interactions. Traditional algorithms often rely on fixed parameters, failing to effectively address this challenge. This paper proposes a novel quantum state evolution algorithm, Quantum State Evolution via Adaptive Symmetry Breaking (QSEAB), that dynamically adjusts the symmetry breaking rate to mitigate decoherence. We demonstrate the effectiveness of QSEAB through extensive simulations and analysis, showcasing improved stability and fidelity compared to existing methods. The core mechanism involves a feedback loop that continuously monitors the system's evolution and optimizes the symmetry breaking process to minimize the impact of noise. This results in a more robust and predictable quantum state evolution, offering a significant advancement in the field.
We propose an efficient scheme for realizing squeezing for both an atomic ensemble and a cavity field via adiabatic evolution of the dark state of the atom-cavity system. Controlled symmetry breaking of the Hamiltonian ensures a unique dark state for the total system, in which the atomic system or cavity mode is squeezed depending upon the choice of the detunings. Since the generation of the atomic squeezed state requires neither the cavity mode nor the atomic system to be excited, the decoherence effects are effectively suppressed. The scheme is insensitive to the uncertainty in the atomic number and imperfect timing, and the time needed for the generation of the desired squeezed state decreases as the size of the system grows. The required experimental techniques are within the scope of what can be obtained in the present cavity QED setups.