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International Journal of Theoretical Physics

Maximally Entangled Squeezed Spin Coherent States and Entropic Uncertainty Relation

Forough Panahyazdan, Ahmad Akhound

Published Jun 22, 2024• 1 citation
Publisher
DOI
10.1007/s10773-024-05682-z

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Abstract We investigate thermal quantum correlations and the entropic uncertainty relation in the presence of quantum memory under two kinds of two-qubit spin squeezing models, namely the one-axis twisting model and two-axis countertwisting model. We provide the analytical expressions of quantum correlations and the entropic uncertainty relation in the ground state for these two models and we find a simple relationship between quantum discord and entropic uncertainty. It is found that there is a fully anti-correlated relationship between quantum correlations and entropic uncertainty. Also, the maximal quantum correlation and minimal uncertainty can be achieved when the spin squeezing parameters are large enough. Accordingly, these results may be significant in practical goals in which the maximum quantum correlation and minimum uncertainty are required such as in quantum key distribution and quantum computing.
The entropic squeezing and quadrature squeezing for the superposition state of the vacuum and the coherent state ｜α〉 is studied, and their relations is discussed. The results show that: if the parameter b and the coherent state's swing R are given different values, the entropic squeezing is content with the entropic uncertainty relation and the quadrature squeezing satisfies the Hersenberg uncertainty relation, what's more, both of them, the entropic squeezing is a more sensitive measure for the squeezing effect of the field.
This paper investigates the entropy squeezing of a moving two-level atom interacting with the two-mode entangled coherent field via two-photon transition by using an entropic uncertainty relation and the degree of entanglement between the two-mode fields by using quantum relative entropy. The results obtained from numerical calculation indicate that the squeezed period, the duration of entropy squeezing and the maximal squeezing can be controlled by appropriately choosing the intensity of the light field, the atomic motion and the field-mode structure. The atomic motion leads to the periodic recovery of the initial maximal degree of entanglement between the two-mode fields. Moreover, there exists a corresponding relation between the time evolution properties of the atomic entropy squeezing and those of the entanglement between the two-mode fields.