Giant Kerr nonlinearities and magneto-optical rotations in a Rydberg-atom gas via double electromagnetically induced transparency

Mu, Yue; Qin, Lu Chang; Shi, Zeyun; Huang, Guoxiang

doi:10.1103/physreva.103.043709

Cited by 27 publications

(14 citation statements)

References 78 publications

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“…To solve such a chain of equations, a suitable treatment beyond mean-field approximation must be adopted. A powerful one is the reduced density-matrix expansion, by which the hierarchy of the infinite equations is truncated consistently and the problem is reduced to solving a closed system of equations for the one-and two-body DM elements, as elaborated recently [113,122,125].…”

Section: A the Physical Setupmentioning

confidence: 99%

“…Since the probe field is much weaker than the control field, the depletion of the atomic population in the ground state is small and a standard perturbation method can be applied to solve the system of Maxwell-Bloch (MB) equations ( 3) and (4). To include the many-body correlations produced by the strong Rydberg-Rydberg interactions in a reasonable way, a beyond mean-field approximation [113,122,125] mentioned above must be used. Then, in the leading-order approximation, we obtain the solution for the probe field Ω p = F (x, y, z, t)e iK(ω)z−iωt , where F denotes a slowly varying envelope function and K(ω) stands for the linear dispersion relation,…”

Section: B the Nonlinear Envelope Equationmentioning

confidence: 99%

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Stable high-dimensional weak-light soliton molecules and their active control

Lu¹,

Hang²,

Malomed³

et al. 2022

Preprint

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Bound states of solitons, alias soliton molecules (SMs), are well known in one-dimensional (1D) systems, while making stable bound states of multidimensional solitons is a challenging problem because of the underlying instabilities. Here we propose a scheme for the creation of stable (2+1)D and (3+1)D optical SMs in a gas of cold Rydberg atoms, in which electromagnetically induced transparency (EIT) is induced by a control laser field. We show that, through the interplay of the EIT and the strong long-range interaction between the Rydberg atoms, the system gives rise to giant nonlocal Kerr nonlinearity, which in turn supports stable (2+1)D spatial optical SMs, as well as ring-shaped soliton necklaces, including rotating ones. They feature a large size, low generation power, and can be efficiently manipulated by tuning the nonlocality degree of the Kerr nonlinearity. Stable (3+1)D spatiotemporal optical SMs, composed of fundamental or vortex solitons, with low power and ultraslow propagation velocity, can also be generated in the system. These SMs can be stored and retrieved through the switching off and on of the control laser field. The findings reported here suggest applications to data processing and transmission in optical systems.

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Section: A the Physical Setupmentioning

confidence: 99%

Section: B the Nonlinear Envelope Equationmentioning

confidence: 99%

Stable high-dimensional weak-light soliton molecules and their active control

Lu¹,

Hang²,

Malomed³

et al. 2022

Preprint

Self Cite

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“…The explicit expression of the optical Bloch equation ( 2) is given by [68] The optical susceptibility χ j of the jth polarization component of the probe field is given by χ…”

Section: Optical Bloch Equationmentioning

confidence: 99%

Self-organized structures of two-component laser fields and their active controls in a cold Rydberg atomic gas

Shi,

Huang

2021

Preprint

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We investigate the formation and control of stationary optical patterns in a cold Rydberg atomic gas via double electromagnetically induced transparency. We show that, through the modulational instability of plane-wave state of a laser field with two polarization components, the system undergoes a spontaneous symmetry breaking and hence the emergence of plentiful self-organized spatial optical structures, which can be manipulated by the ratio between the cross-and self-Kerr nonlinearities, the nonlocality degree of the Kerr nonlinearities, and the populations initially prepared in the two atomic ground states. Interestingly, a crossover from mixture to separation in space (optical phase separation) of the two polarization components occurs when the ratio between the cross-and self-Kerr nonlinearities exceeds a critical value. We also show that the system supports nonlocal two-component spatial optical solitons and vortices when the parameters of the system are selected suitably. The rich diversity and active controllability of the self-organized optical structures reported here provide a way for realizing novel optical patterns and solitons and their structural phase transitions based on Rydberg atomic gases.

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“…EIT is essentially the result of destructive quantum interference between these transitions, such that absorption is severely reduced for a given range of probe frequencies and eliminated entirely on resonance. Such effects are also accompanied by a sharp change in refractive index, yielding applications in all-optical communication [11,12], superluminal and ultraslow light [13,14], light storage [15], giant optical nonlinearities [16,17], optical bistability [18] and multi-wave mixing [19].…”

Section: Introductionmentioning

confidence: 99%

Transfer and evolution of structured polarization in a double-V atomic system

Li,

Franke-Arnold,

Wang

et al. 2022

Preprint

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We numerically investigate the transfer of optical information from a vector-vortex control beam to an unstructured probe beam, as mediated by an atomic vapour. The right and left circular components of these beams drive the atomic transitions of a double-V system, with the atoms acting as a spatially varying circular birefringent medium. Modelling the propagation of the light fields, we find that, for short distances, the vectorial light structure is transferred from the control field to the probe. However, for larger propagation lengths, diffraction causes the circular components of the probe field to spatially separate. We model this system for the D1 line of cold rubidium atoms. Our investigation is a first step to investigating the coupled dynamics of internal and external degrees of freedom of atoms in four wave mixing.

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Giant Kerr nonlinearities and magneto-optical rotations in a Rydberg-atom gas via double electromagnetically induced transparency

Cited by 27 publications

References 78 publications

Stable high-dimensional weak-light soliton molecules and their active control

Stable high-dimensional weak-light soliton molecules and their active control

Self-organized structures of two-component laser fields and their active controls in a cold Rydberg atomic gas

Transfer and evolution of structured polarization in a double-V atomic system

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