Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Physica Scripta

Tunable frequency comb generation via higher-order coherence in a superradiance lattice

Atif Shabbir

Published Sep 11, 2026• 0 citations
Publisher

Abstract

Abstract We propose a scheme for generating frequency combs in an electromagnetically induced transparency—based superradiance lattice. When the probe frequency satisfies the m th-order resonance condition with the control field, 2 m + 1 discrete spectral components emerge, forming a frequency comb. The comb spacing and reflectivity are dynamically tunable via the control-field strength. The proposed scheme is experimentally feasible and enables the generation of low-frequency (infrared) combs using 87 Rb atoms. Moreover, high-frequency combs in the ultraviolet and x-ray regimes can be realized using 85 Rb atoms and Be 2 + ions, exhibiting appreciable reflectivity. These results establish a versatile platform for frequency-comb generation with potential applications in quantum optics and quantum information processing.

DOI
10.1088/1402-4896/aea663

Related papers

Generation of multi range frequency combs using a superradiance lattice

Atif Shabbir

We report that frequency combs are generated within the superradiance lattice from low frequency (infrared) to high frequency (X-ray) range. Our observations reveal that the infrared frequency combs have a reflectivity approaching 95%, while the X-ray frequency combs exhibit approximately 55% reflectivity. We can control the width and amplitude of the spectral lines of these frequency combs by adjusting the control field intensity. This atomic scheme is experimentally viable. We can propose conducting experiments utilizing beryllium ions for X-rays and rubidium atoms for generating infrared frequency combs. This approach holds great promise for potential applications in quantum optics.

Journal of Modern Optics•Apr 7, 2026•0 citations

Generation and control of optical frequency combs using cavity electromagnetically induced transparency

Jiahua Li, Ye Qu, Rong Yu +1 more

We explore theoretically the generation and all-optical control of optical frequency combs (OFCs) in photon transmission based on a combination of single-atom-cavity quantum electrodynamics (CQED) and electromagnetically induced transparency (EIT). Here an external control field is used to form the cavity dark mode of the CQED system. When the strengths of the applied EIT control field are appropriately tuned, enhanced comb generation can be achieved. We discuss the properties of the dark mode and clearly show that the formation of the dark mode enables the efficient generation of OFCs. In our approach, the comb spacing is determined by the beating frequency between the driving pump and seed lasers. Our demonstrated theory may pave the way towards all-optical coherent control of OFCs using a CQED architecture.

Physical Review A•Feb 15, 2018•30 citations

Coherent control of photonic band gaps through the relative phase using modified superradiance lattice

Muhammad Saeed, Atif Shabbir

We report photonic band gaps based on a modified superradiance lattice having reflectivity close to 100% for both the low and high-frequency ranges. We observe that tuning the relative phase between the coupling fields provides additional control over photonic band gaps. We notice that the relative phase can control three input channels of the probe field simultaneously and efficiently. This feature of relative phase over photonic band gaps provides potential in the field of quantum optics. Further, this scheme is experimentally more viable. Rubidium atoms 87 Rb can obtain low-frequency (infrared) photonic band gaps. On the other hand, rubidium atoms 85 Rb and beryllium ions Be 2+ can form high-frequency ultraviolet and soft X-ray photonic band gaps, achieving reflectivities of 80% and 96%, respectively. This scheme holds promise for constructing highly efficient optical switches and beam splitters.

Optics Express•Dec 8, 2023•1 citation

Observation of Tunable Superradiant Frequency Combs

Tian Xie, Rikuto Fukumori, Wai-Keong Mok +3 more

Cavity quantum electrodynamics (QED) with quantum emitters coupled to resonators provides a powerful platform for engineering light-matter interactions and exploring collective phenomena. In particular, superradiance, arising from collective quantum interference among emitters, has been explored as a route to ultrastable continuous radiation. However, engineering superradiance in the time domain to realize periodic pulsed sources or frequency combs remains largely unexplored. Here, we investigate the non-equilibrium many-body dynamics of a driven spin ensemble coupled to an on-chip superconducting resonator and uncover a dynamical phase transition from continuous-wave to periodic pulsed superradiant emission. To quantitatively capture the observed dynamical phases, we introduce a driven-dissipative cavity-QED model that elucidates how the periodic pulsed superradiant phase emerges from collective, periodically repeating spin dynamics stabilized by the interplay of coherence growth, disorder, and dissipation. We also find that rare-earth ion spin systems exhibiting both optical and microwave transitions enable phase-synchronized, dual-rail superradiant frequency combs in both the microwave and optical domains. Our results not only open new avenues for dual-rail frequency-comb applications in quantum metrology and information processing, but also establish a fundamental connection between periodic pulsed superradiance and the emergence of a continuous time crystal as a novel nonequilibrium phase in driven open systems.

quant-pharXiv:2604.14601•Apr 17, 2026•0 citations

Optically controllable high-frequency photonic band gaps using modified superradiance lattice

Atif Shabbir, Sajid Qamar

Abstract We report that modified superradiance lattice (2023, Phys. Scr. 98 015 105) can be used to obtain high-frequency photonic band gaps which are controllable using low-frequency light. Here, we also notice that the maximum reflectivity of these photonic band gaps can be achieved via low-frequency light control. This maximum reflectivity remains constant for a certain range of probe detuning depending upon the strength of the control field. We also report that this can lead to experimental realization of the soft x-ray regime (high-frequency) via 61st-order low-frequency light using Be2+ ions, the corresponding reflectivity in this case is 96%. Therefore, one can construct controllable x-ray photonic band gaps which can further be used to devise optical switches, beam splitters, and frequency combs. Moreover, this scheme holds the promise of working efficiently in all types of other configurations where reflection of high-frequency light is needed using nth order low-frequency light.

Physica Scripta•Apr 11, 2023•2 citations

Tunable dual-band atomic mirror based on subwavelength atomic arrays under electromagnetically induced transparency

Shiwen Sun, Yi-Xin Wang, Xiao Liu +1 more

Subwavelength atomic arrays offer a powerful platform for engineering cooperative light-matter interactions and enabling quantum metasurfaces. We demonstrate that a two-dimensional array of three-level atoms operating under electromagnetically induced transparency can function as a tunable dual-band atomic mirror, where two independently controllable reflection bands emerge from the collective optical responses mediated by dipole-dipole interactions. These resonances yield dual reflection bands with asymmetric linewidths, whose spectral positions and bandwidths can be tuned through the control-field parameters, dipole orientation, incident geometry, and lattice constant. We further identify the conditions under which additional diffraction orders emerge, which delineate the operational and tunable range of the atomic mirror via its collective-mode structure. This scheme provides a fully tunable dual-band atomic mirror operating across broad frequency and angular ranges, offering a practical and experimentally accessible pathway toward reconfigurable photonic elements in atomic-array platforms at low energy levels.

quant-pharXiv:2511.23032•Dec 1, 2025•1 citation
Abstract We propose a scheme for generating frequency combs in an electromagnetically induced transparency—based superradiance lattice. When the probe frequency satisfies the m th-order resonance condition with the control field, 2 m + 1 discrete spectral components emerge, forming a frequency comb. The comb spacing and reflectivity are dynamically tunable via the control-field strength. The proposed scheme is experimentally feasible and enables the generation of low-frequency (infrared) combs using 87 Rb atoms. Moreover, high-frequency combs in the ultraviolet and x-ray regimes can be realized using 85 Rb atoms and Be 2 + ions, exhibiting appreciable reflectivity. These results establish a versatile platform for frequency-comb generation with potential applications in quantum optics and quantum information processing.
We report that frequency combs are generated within the superradiance lattice from low frequency (infrared) to high frequency (X-ray) range. Our observations reveal that the infrared frequency combs have a reflectivity approaching 95%, while the X-ray frequency combs exhibit approximately 55% reflectivity. We can control the width and amplitude of the spectral lines of these frequency combs by adjusting the control field intensity. This atomic scheme is experimentally viable. We can propose conducting experiments utilizing beryllium ions for X-rays and rubidium atoms for generating infrared frequency combs. This approach holds great promise for potential applications in quantum optics.
We explore theoretically the generation and all-optical control of optical frequency combs (OFCs) in photon transmission based on a combination of single-atom-cavity quantum electrodynamics (CQED) and electromagnetically induced transparency (EIT). Here an external control field is used to form the cavity dark mode of the CQED system. When the strengths of the applied EIT control field are appropriately tuned, enhanced comb generation can be achieved. We discuss the properties of the dark mode and clearly show that the formation of the dark mode enables the efficient generation of OFCs. In our approach, the comb spacing is determined by the beating frequency between the driving pump and seed lasers. Our demonstrated theory may pave the way towards all-optical coherent control of OFCs using a CQED architecture.
We report photonic band gaps based on a modified superradiance lattice having reflectivity close to 100% for both the low and high-frequency ranges. We observe that tuning the relative phase between the coupling fields provides additional control over photonic band gaps. We notice that the relative phase can control three input channels of the probe field simultaneously and efficiently. This feature of relative phase over photonic band gaps provides potential in the field of quantum optics. Further, this scheme is experimentally more viable. Rubidium atoms 87 Rb can obtain low-frequency (infrared) photonic band gaps. On the other hand, rubidium atoms 85 Rb and beryllium ions Be 2+ can form high-frequency ultraviolet and soft X-ray photonic band gaps, achieving reflectivities of 80% and 96%, respectively. This scheme holds promise for constructing highly efficient optical switches and beam splitters.
Cavity quantum electrodynamics (QED) with quantum emitters coupled to resonators provides a powerful platform for engineering light-matter interactions and exploring collective phenomena. In particular, superradiance, arising from collective quantum interference among emitters, has been explored as a route to ultrastable continuous radiation. However, engineering superradiance in the time domain to realize periodic pulsed sources or frequency combs remains largely unexplored. Here, we investigate the non-equilibrium many-body dynamics of a driven spin ensemble coupled to an on-chip superconducting resonator and uncover a dynamical phase transition from continuous-wave to periodic pulsed superradiant emission. To quantitatively capture the observed dynamical phases, we introduce a driven-dissipative cavity-QED model that elucidates how the periodic pulsed superradiant phase emerges from collective, periodically repeating spin dynamics stabilized by the interplay of coherence growth, disorder, and dissipation. We also find that rare-earth ion spin systems exhibiting both optical and microwave transitions enable phase-synchronized, dual-rail superradiant frequency combs in both the microwave and optical domains. Our results not only open new avenues for dual-rail frequency-comb applications in quantum metrology and information processing, but also establish a fundamental connection between periodic pulsed superradiance and the emergence of a continuous time crystal as a novel nonequilibrium phase in driven open systems.
Abstract We report that modified superradiance lattice (2023, Phys. Scr. 98 015 105) can be used to obtain high-frequency photonic band gaps which are controllable using low-frequency light. Here, we also notice that the maximum reflectivity of these photonic band gaps can be achieved via low-frequency light control. This maximum reflectivity remains constant for a certain range of probe detuning depending upon the strength of the control field. We also report that this can lead to experimental realization of the soft x-ray regime (high-frequency) via 61st-order low-frequency light using Be2+ ions, the corresponding reflectivity in this case is 96%. Therefore, one can construct controllable x-ray photonic band gaps which can further be used to devise optical switches, beam splitters, and frequency combs. Moreover, this scheme holds the promise of working efficiently in all types of other configurations where reflection of high-frequency light is needed using nth order low-frequency light.
Subwavelength atomic arrays offer a powerful platform for engineering cooperative light-matter interactions and enabling quantum metasurfaces. We demonstrate that a two-dimensional array of three-level atoms operating under electromagnetically induced transparency can function as a tunable dual-band atomic mirror, where two independently controllable reflection bands emerge from the collective optical responses mediated by dipole-dipole interactions. These resonances yield dual reflection bands with asymmetric linewidths, whose spectral positions and bandwidths can be tuned through the control-field parameters, dipole orientation, incident geometry, and lattice constant. We further identify the conditions under which additional diffraction orders emerge, which delineate the operational and tunable range of the atomic mirror via its collective-mode structure. This scheme provides a fully tunable dual-band atomic mirror operating across broad frequency and angular ranges, offering a practical and experimentally accessible pathway toward reconfigurable photonic elements in atomic-array platforms at low energy levels.