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APL Photonics

Tunable dissipative solitons in a parametric oscillator based on atomic four-wave mixing

Sutapa Ghosh, Brielle E. Anderson, Gregory T. Moille, Zhifan Zhou, K. M. Jones, Paul D. Lett

Published Oct 1, 2026• 0 citations
Publisher

Abstract

Temporal dissipative solitons are central to nonlinear photonics, yet conventional platforms such as optical fibers and microresonators provide limited dispersion tunability and weak nonlinearities. Here, we demonstrate a highly tunable soliton platform based on atom–light interactions in a rubidium vapor optical parametric oscillator. A continuous-wave pump drives four-wave mixing in the vapor, generating probe and conjugate fields, one of which is fed back through a fiber loop to form the oscillator. By tuning the pump intensity and detuning, we control the dispersive properties and third-order nonlinearity of the medium, enabling the formation of diverse nonlinear states including bright and dark solitons, soliton crystals, dark–bright soliton pairs, platicons, and breather solitons. Unlike conventional systems, solitons emerge spontaneously without cavity scanning or pulsed excitation. The system isolates gain, dispersion, and nonlinearity within the atomic medium, allowing flexible cavity-length tuning without modifying other operating parameters. We introduce the technique of characterizing the solitonic states through the linewidth of the output intensity power spectrum, which remains independent of cavity length and is limited only by the experimental apparatus, indicating a high degree of phase coherence. This contrasts with conventional mode-locked states, for which the linewidth scales inversely with the square of the cavity length. With pulse durations of ∼100 ns determined by the gain bandwidth of the four-wave mixing, the solitons can be directly detected for rapid and complete characterization. This platform offers a versatile route for exploring nonlinear optical dynamics and developing applications in quantum photonics and communication.

DOI
10.1063/5.0343035

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The area devoted to cross-Kerr nonlinearity and coherent driving fields is increasingly used to control optical solitons in atomic media. Recently, this area has been investigated by using the concepts of fractals theory. Since then, fractals theory has various applications in different disciplines of science and engineering. The said area has the capability to describe the complex geometry of dynamical problems. The propagation of light pulse and their solitonic behavior are investigated in a [Formula: see text] medium of four levels. Significant control over the absorption, dispersion, group refractive index and pulse propagation is reported with variation of coupled driving fields. The sublominal group velocity of [Formula: see text] and superlominal propagation of group velocity of [Formula: see text] is controlled. The bright and dark soliton pulse is modified with variation of driving fields in the superluminal and sublominal regions. Due subluminality of light dark soliton is reported and superluminality bright soliton is noted in the medium. The maximum of [Formula: see text] output pulse intensity is controlled. The intensity of the output pulse is an increasing and decreasing function of coupled driving fields’ Rabi frequencies. The modified solitons in this rubidium atomic medium are comparably more informative and significant to solitonic pulse intensity control in four-level cesium atomic medium under Doppler and inverse Doppler broadening effects. The modified results have useful application and soliton radar and communication technologies.

Fractals•Jan 1, 2026•0 citations
Temporal dissipative solitons are central to nonlinear photonics, yet conventional platforms such as optical fibers and microresonators provide limited dispersion tunability and weak nonlinearities. Here, we demonstrate a highly tunable soliton platform based on atom–light interactions in a rubidium vapor optical parametric oscillator. A continuous-wave pump drives four-wave mixing in the vapor, generating probe and conjugate fields, one of which is fed back through a fiber loop to form the oscillator. By tuning the pump intensity and detuning, we control the dispersive properties and third-order nonlinearity of the medium, enabling the formation of diverse nonlinear states including bright and dark solitons, soliton crystals, dark–bright soliton pairs, platicons, and breather solitons. Unlike conventional systems, solitons emerge spontaneously without cavity scanning or pulsed excitation. The system isolates gain, dispersion, and nonlinearity within the atomic medium, allowing flexible cavity-length tuning without modifying other operating parameters. We introduce the technique of characterizing the solitonic states through the linewidth of the output intensity power spectrum, which remains independent of cavity length and is limited only by the experimental apparatus, indicating a high degree of phase coherence. This contrasts with conventional mode-locked states, for which the linewidth scales inversely with the square of the cavity length. With pulse durations of ∼100 ns determined by the gain bandwidth of the four-wave mixing, the solitons can be directly detected for rapid and complete characterization. This platform offers a versatile route for exploring nonlinear optical dynamics and developing applications in quantum photonics and communication.
Mediated by the interactions with quantum vacuum fields, a probe laser field propagating in a nonlinear optical medium can generate new pair of light fields over a broad spectral range via spontaneous parametric process. Such process is inherently independent of the incident direction of light and reciprocal thus far, due to the direction-independent field-vacuum interactions. In this work, we experimentally demonstrate within sodium atomic vapors that such spontaneous parametric process can be nonreciprocal by unidirectionally coupling it to another pumped four-wave mixing process. Thanks to the broad bandwidth of the spontaneous parametric process, in combination with the Doppler and power-induced broadening of atomic energy levels, we achieve optical isolation with isolation ratio >25 dB over a bandwidth larger than 100 GHz. Considering that both spontaneous parametric processes and the pumped four-wave mixing have been realized in diverse solid photonic platforms, the demonstrated concept can motivate further explorations in the design of integrated magnetic-free broadband optical nonreciprocity via the interactions between nonlinear optical processes.
The ability to control light with light at ultralow powers has been a major avenue of research in photonics with applications to optical communications, computation, and signal processing. Such light-by-light scattering is achieved in a medium with a strong light-matter interaction, and for the development of quantum information networks it is important to demonstrate such effects near the single-photon level. Alkali-metal vapors such as rubidium (Rb) enable strong light-matter interactions due to the large cross section per atom and well-defined energy level structure, while the use of optical fibers offers the advantage of possible integration with modern optical communication systems. Hollow-core photonic band-gap fibers (PBGFs) can combine both these technologies such that both the atoms and the optical fields are transversely confined to a region that is a few wavelengths in size, which offers the prospect of exploring few-photon nonlinear interactions. We generate large optical depths in such a Rb-PBGF system, and the tight light confinement, high vapor density and long interaction length allow us to perform nonlinear optics at ultralow power. We demonstrate large signal amplification (>100) and frequency conversion using a four-wave mixing process with only microwatts of pump power. This is, to our knowledge, the largest gain observed at such low power. We perturb the coherence of this four-wave mixing to demonstrate all-optical modulation at unprecedented bandwidths (~300 MHz) for an atomic-vapor system, with an energy density of only tens of pho- tons per atomic cross-section, comparable to that achieved in more elaborate setups based on cold-atomic clouds. We then demonstrate an enhancement of several orders of magnitude in degenerate two-photon absorption in our RbPBGF system over that achieved in bulk vapor cells in a focused beam geometry. This allows us to directly measure two-photon absorption from a beam by detecting its intensity on a photodiode. Further, employing a near-resonant, non-degenerate two-photon transition in Rb, we demonstrate all-optical intensity modulation with just a few photons (<20), or only a few attojoules of energy, at relatively large bandwidths (~50 MHz) for such a sensitive scheme. This result takes us to within an order of magnitude of single-photon switching, and improves upon previous experiments for freely propagating optical fields, including those in cold-atoms. Finally, we produce relatively large cross-phase shifts of a few milliradians on a meter beam with <20 signal photons by tuning slightly away from resonance on the same non-degenerate two-photon transition. This corresponds to a phase shift of 0.3 milliradian per photon, with a fast response time of <5 ns. This represents, to our knowledge, the largest such nonlinear phase shift induced in a single-pass through a room temperature medium. Our Rb-PBGF system can thus potentially be employed to realize weak-nonlinearity based quantum computation and quantum non-demolition measurement of photon number. Through these experiments, we show the potential of a Rb-PBGF system for exploring quantum nonlinear optics at ultralow powers. Moreover, our system is simpler and easier to control and manipulate than setups based on cold atomic clouds and/or high-finesse cavities, and holds promise for integration with fiber-optic communication networks.
Photonic structures such as photonic bandgap fibers and high confinement nanowaveguides have proven to be excellent platforms for studying nonlinear optical interactions tailored towards applications in spectroscopy, quantum communication, quantum computation protocols, optical clockwork and precision frequency metrology. This thesis discusses our approach towards exploiting these high confinement media for demonstrating novel few photon nonlinear optical interactions such as two-photon absorption and cross-phase modulation in hot atomic vapors (Rubidium) confined inside hollow-core photonic bandgap fibers (PBGF), generating ultra-broadband optical frequency combs that utilize cascaded parametric four-wave mixing and mode-locked femtosecond pulses in silicon nitride nanowaveguides. We generate large optical depths in such a Rb-PBGF system, and the tight light confinement, high vapor density and long interaction length allow us to perform nonlinear optics at ultralow power. We observe 25% all-optical modulation with <20 photons, i.e., a few attojoules of energy, and large cross-phase shifts of 0.3 mrad per photon with a response time <5 ns in Rb-filled PBGF. This result takes us to within an order of magnitude of single-photon switching, and improves upon previous experiments for freely propagating optical fields, including those in cold-atoms. Using high quality factor silicon nitride optical microcavities we show that the gain from the four-wave mixing process can lead to optical parametric os- cillation, allowing for the generation of multiple new wavelengths as wide as an octave of wavelengths. Next we show that by dispersion engineering the waveguide dimensions, we can generate combs by pumping at 1064 nm. The advantage of this platform is that we can independently tune the free spectral range (FSR) and the dispersion. We exploit this property of the silicon nitride microresonator platform to generate microcombs with various FSRs such as 20, 40-, 80-,100-GHz. Next we go on to characterize the spectral and temporal dynamics of the microresonator based combs and demonstrate that such parametric frequency combs can generate modelocked ultra-short pulses.
The area devoted to cross-Kerr nonlinearity and coherent driving fields is increasingly used to control optical solitons in atomic media. Recently, this area has been investigated by using the concepts of fractals theory. Since then, fractals theory has various applications in different disciplines of science and engineering. The said area has the capability to describe the complex geometry of dynamical problems. The propagation of light pulse and their solitonic behavior are investigated in a [Formula: see text] medium of four levels. Significant control over the absorption, dispersion, group refractive index and pulse propagation is reported with variation of coupled driving fields. The sublominal group velocity of [Formula: see text] and superlominal propagation of group velocity of [Formula: see text] is controlled. The bright and dark soliton pulse is modified with variation of driving fields in the superluminal and sublominal regions. Due subluminality of light dark soliton is reported and superluminality bright soliton is noted in the medium. The maximum of [Formula: see text] output pulse intensity is controlled. The intensity of the output pulse is an increasing and decreasing function of coupled driving fields’ Rabi frequencies. The modified solitons in this rubidium atomic medium are comparably more informative and significant to solitonic pulse intensity control in four-level cesium atomic medium under Doppler and inverse Doppler broadening effects. The modified results have useful application and soliton radar and communication technologies.