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arXiv:2102.03841 · Journal of Physics B Atomic Molecular and Optical Physics

Disappearance of squeezing in superposition states and its manifestation in the energy density

Suresh Kannan, C. Sudheesh

Published Apr 19, 2022• 2 citations
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Abstract

Abstract We have classified the superposition of squeezed wavepackets into two kinds and studied their quadrature squeezing. We have shown that the squeezing and higher-order squeezing in the quadrature disappear for the states of the first kind. However, for the second kind, it is possible to achieve the maximum amount of squeezing by adjusting the parameters in the superposition. The absence of squeezing for the superposition states is explained based on the expectation value of the energy density. We find that the expectation value of energy density in quantum wavepackets that shows no squeezing is positive. We have also studied the relationship between energy density and the squeezing in the decoherence dynamics of single and two-mode squeezed states. Our further analysis shows that different types of squeezed states, including states which are not wavepackets, exhibit negative energy density.

DOI
10.1088/1361-6455/ac6846

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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.
We study the slowing of the decoherence effect in the double-slit experiment by considering an initially correlated Gaussian state. The effects of the decoherence are included in a specific propagator which we use to obtain the density matrix at the detection screen. We calculate the uncertainties in the position and momentum for the density matrix as a function of the decoherence at the detection screen. We show that for a contractive initial state and specific times of propagation the state at the detection screen is squeezed in position in comparison with the standard Gaussian superposition. For this squeezed Gaussian superposition state, we observe that the fringe visibility is more robust to the decoherence in comparison with the standard Gaussian superposition. Then, we calculate the negativity of the Wigner function and study its behavior as a function of the decoherence and correlation parameters at the detection screen. We observe that the negativity decreases more slowly for the squeezed Gaussian superposition.
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