Super-Poissonian Squeezed Light in the Deep Strong Regime of the Quantum Rabi Model

By analytically solving the quantum Rabi model, we investigate the photonic properties of its ground eigenstate. In particular, we find that in the deep strong coupling regime, where the coupling strength \(g\) exceeds the mode frequency \(\omega\), the photonic state is effectively squeezed in one...

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Published in:arXiv.org 2024-12
Main Authors: Chon-Fai Kam, Hu, Xuedong
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Language:English
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Compressing
Coupling
Eigenvectors
Phase transitions
Photonics
Quadratures
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description By analytically solving the quantum Rabi model, we investigate the photonic properties of its ground eigenstate. In particular, we find that in the deep strong coupling regime, where the coupling strength \(g\) exceeds the mode frequency \(\omega\), the photonic state is effectively squeezed in one of its quadratures. The squeezing reaches its maximum at the curve corresponding to the quantum phase transition of the quantum Rabi system, and decreases rapidly on both sides of the phase transition. Notably, for \(g/\omega\approx 3\), which is experimentally testable in existing trapped-ion platforms, the achievable squeezing parameter can reach approximately \(r\approx 0.8\). Intriguingly, the photonic state is squeezed while its number distribution follows a super-Poissonian distribution, with the largest deviation from Poissonian behavior occurring at the phase transition between the normal and superradiant phases. In other words, the ground state of the quantum Rabi model contains super-Poissonian quantum squeezed photons.
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In particular, we find that in the deep strong coupling regime, where the coupling strength \(g\) exceeds the mode frequency \(\omega\), the photonic state is effectively squeezed in one of its quadratures. The squeezing reaches its maximum at the curve corresponding to the quantum phase transition of the quantum Rabi system, and decreases rapidly on both sides of the phase transition. Notably, for \(g/\omega\approx 3\), which is experimentally testable in existing trapped-ion platforms, the achievable squeezing parameter can reach approximately \(r\approx 0.8\). Intriguingly, the photonic state is squeezed while its number distribution follows a super-Poissonian distribution, with the largest deviation from Poissonian behavior occurring at the phase transition between the normal and superradiant phases. 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subjects Compressing
Coupling
Eigenvectors
Phase transitions
Photonics
Quadratures
title Super-Poissonian Squeezed Light in the Deep Strong Regime of the Quantum Rabi Model
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