Quantum squeezing of slow-light solitons

Zhu, Jinzhong; Zhang, Qi; Huang, Guoxiang

doi:10.1103/physreva.103.063512

Cited by 9 publications

(13 citation statements)

References 59 publications

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“…Such a correlation between Q1 and P1 leads to a position spreading of the SLDS, contributed by the Kerr nonlinearity (characterized by the nonlinear parameter g). However, photon-number and phase fluctuations are not predicted here, different from the case of bright solitons [66,83,84]. (ii) The quantum fluctuation of the continuum modes (characterized by the quantum number k) has only a simple effect, i.e.…”

Section: Quantum Squeezing Of Slow-light Dark Solitonsmentioning

confidence: 67%

“…Similar to Ref. [66], by employing the perturbation expansion under weak-dispersion and weaknonlinearity approximations, one can obtain the following QNLS equation…”

Section: B Nonlinear Envelope Equation and The Existence Region Of Da...mentioning

confidence: 98%

“…, which are for the quantum solitons in optical fibers, the work reported here is on the quantum effect of SLDS generated in a cold atomic gas via EIT. Our work can be taken as an extension of a recent publication [66], but it is not a simple extension because the perturbation approach on the SLDS is quite different from that of slow-light bright solitons. One of the main differences is that the SLDS has a continuous background, which makes the eigenvalue problem of the perturbation be very different from that of the slow-light bright solitons.…”

Section: Introductionmentioning

confidence: 99%

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Quantum Squeezing of Slow-Light Dark Solitons via Electromagnetically Induced Transparency

Zhu,

Huang

2022

Preprint

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We consider the quantum effect of slow light dark soliton (SLDS) in a cold atomic gas with defocuing Kerr nonlinearity via electromagnetically induced transparency (EIT). We calculate the quantum fluctuations of the SLDS by solving the relevant non-Hermitian eigenvalue problem describing the quantum fluctuations, and find that only one zero mode is allowed. This is different from the quantum fluctuations of bright solitons, where two independent zero modes occur. We rigorously prove that the eigenmodes, which consist of continuous modes and the zero mode, are bi-orthogonal and constitute a complete bi-orthonormalized basis, useful for the calculation on the quantum fluctuations of the SLDS. We demonstrate that, due to the large Kerr nonlinearity contributed from the EIT effect, a significant quantum squeezing of the SLDS can be realized; the squeezing efficiency can be manipulated by the Kerr nonlinearity and the soliton's amplitude, which can be much higher than that of bright solitons. Our work contributes to efforts for developing quantum nonlinear optics and non-Hermitian Physics, and for possible applications in quantum information processing and precision measurements.

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Section: Quantum Squeezing Of Slow-light Dark Solitonsmentioning

confidence: 67%

“…Similar to Ref. [66], by employing the perturbation expansion under weak-dispersion and weaknonlinearity approximations, one can obtain the following QNLS equation…”

Section: B Nonlinear Envelope Equation and The Existence Region Of Da...mentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

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Quantum Squeezing of Slow-Light Dark Solitons via Electromagnetically Induced Transparency

Zhu,

Huang

2022

Preprint

Self Cite

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“…In recent studies [37,38], it has been shown that light squeezing can be realized in a three-level atomic gas working on the condition of a perturbed electromagnetically induced transparency (EIT) [39]. By introducing a non-zero but small two-photon detuning (which makes the system to deviate strict EIT condition slightly), the system supports giant optical Kerr nonlinearity and displays second-order dispersion effect, thereby allows the formation of (single-component) ultraslow weak-light solitons with very low loss [40,41].…”

Section: Introductionmentioning

confidence: 97%

“…By introducing a non-zero but small two-photon detuning (which makes the system to deviate strict EIT condition slightly), the system supports giant optical Kerr nonlinearity and displays second-order dispersion effect, thereby allows the formation of (single-component) ultraslow weak-light solitons with very low loss [40,41]. Due to the existence of the giant Kerr nonlinearity, the quantum squeezing of the slow-light solitons can be obtained [37,38].…”

Section: Introductionmentioning

confidence: 99%

Simultaneous Quantum Squeezing of Light Polarizations and Atomic Spins in a Cold Atomic Gas

Jin-zhong¹,

Mu²,

Huang³

2023

Preprint

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We present a scheme to realize simultaneous quantum squeezing of light polarizations and atomic spins via a perturbed double electromagnetically induced transparency (DEIT) in a cold four-level atomic ensemble coupled with a probe laser pulse of two polarization components. We derive two coupled quantum nonlinear Schrödinger equations from Maxwell-Heisenberg-Langevin equations describing the quantum dynamics of the atoms and the probe pulse, and develop a quantum theory of vector optical soliton (VOS), which have ultraslow propagation velocity and extremely low generation power. We solve the non-Hermitian eigenvalue problem describing the quantum fluctuations on the background of the VOS, and rigorously prove that all fluctuation eigenmodes (including continuous modes and four zero modes) obtained constitute a bi-orthonormal and complete set. We find that, due to the giant self-and cross-Kerr nonlinearities contributed by the perturbed DEIT, a large polarization squeezing of the probe pulse can be realized. We also find that, together with the polarization squeezing of the probe pulses, a significant squeezing of atomic spins also occurs simultaneously. The results of the simultaneous squeezing of light polarizations and atomic spins by using only a coherent probe pulse reported here opens a route for uncovering the unique property of the quantum interface between light and atomic ensembles, and also for applications in quantum information and precision measurement.

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Coherent control of optical solitons interaction via external potential in electromagnetically induced transparency system

Zhang

Tan

2022

Optik

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Quantum squeezing of slow-light solitons

Cited by 9 publications

References 59 publications

Quantum Squeezing of Slow-Light Dark Solitons via Electromagnetically Induced Transparency

Quantum Squeezing of Slow-Light Dark Solitons via Electromagnetically Induced Transparency

Simultaneous Quantum Squeezing of Light Polarizations and Atomic Spins in a Cold Atomic Gas

Coherent control of optical solitons interaction via external potential in electromagnetically induced transparency system

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