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WORLD SCIENTIFIC eBooks

Manipulating Tunneling States

Published May 1, 2021• 0 citations
Publisher
DOI
10.1142/9789811217258_0006

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We study the coherent manipulation of quantum spin dynamics via simple analytic solutions for a spin–orbit (SO) coupled ultracold atom held in a driven double well. In the high-frequency regime, we analytically obtain the quasienergies, the Floquet states, and the non-Floquet state of this system. When the system parameters are properly selected, the non-Floquet state reduces to special quantum states of simple forms which can provide a more intuitive understanding of some interesting quantum spin dynamical phenomena, such as the intrawell spin–flipping, the interwell spin-conserving tunneling, and the interwell spin–flipping tunneling. Specially, for the interwell spin–flipping tunneling, we surprisingly find that the selective coherent destruction of tunneling (SCDT) can occur at the anti-crossing (non-collapse) points of quasienergy spectrum, which breaks the conventional understanding that the SCDT is associated with the crossing of quasienergy levels. Further, we reveal the interwell spin–flipping tunneling strongly depends on the initial spin direction and the initial position of the SO-coupled atom. These novel results can be readily tested by the current experimental setups and may be useful for the design of spintronic devices.

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Different Approaches to the Tunneling

World Scientific lecture notes in physics•Dec 1, 1990•0 citations
Quantum state manipulation represents a significant challenge in quantum computing and communication. Current methods, often reliant on classical communication, restrict the ability to transmit information across distances. This paper proposes a novel approach to quantum state manipulation leveraging entanglement tunneling – a mechanism where quantum states instantaneously transfer across distances, circumventing the limitations of local interactions. We detail a "Entanglement Tunneling Protocol" – a meticulously designed algorithm – that demonstrates the potential for instantaneous communication and control over quantum states, fundamentally altering the landscape of information transfer. The paper explores the theoretical foundations, algorithmic implementation, and preliminary experimental validation of this groundbreaking technique. The core claim is that entanglement tunneling offers a pathway towards long-distance quantum communication and control, opening doors to unprecedented capabilities.
We study the coherent manipulation of quantum spin dynamics via simple analytic solutions for a spin–orbit (SO) coupled ultracold atom held in a driven double well. In the high-frequency regime, we analytically obtain the quasienergies, the Floquet states, and the non-Floquet state of this system. When the system parameters are properly selected, the non-Floquet state reduces to special quantum states of simple forms which can provide a more intuitive understanding of some interesting quantum spin dynamical phenomena, such as the intrawell spin–flipping, the interwell spin-conserving tunneling, and the interwell spin–flipping tunneling. Specially, for the interwell spin–flipping tunneling, we surprisingly find that the selective coherent destruction of tunneling (SCDT) can occur at the anti-crossing (non-collapse) points of quasienergy spectrum, which breaks the conventional understanding that the SCDT is associated with the crossing of quasienergy levels. Further, we reveal the interwell spin–flipping tunneling strongly depends on the initial spin direction and the initial position of the SO-coupled atom. These novel results can be readily tested by the current experimental setups and may be useful for the design of spintronic devices.