© 2026 Aqora Quantum S.A.S.

Terms Privacy Legal Notice

arXiv:2606.01030 · Physical Review A

Giant magneto-optical rotation in a Rydberg atomic gas via symmetry-breaking wave mixing

Lintian Luo, Yan Li

quant-phphysics.atom-phSubmitted May 31, 2026• Announced Jun 2, 2026• 0 citations

v1 · May 31, 2026 v2 · Jul 20, 2026

Abstract

The nonlinear magneto-optical rotation effect is central to precision measurements of weak magnetic fields and optical quantum information processing. In conventional single-beam excitation systems, the propagation of the nonlinear signal is restricted by an energy-symmetry-induced propagation blockade. This blockade originates from the symmetrical evolution of the orthogonal circularly polarized components of the probe field, which prevents spatial accumulation of the nonlinear polarization. We propose introducing a far-detuned, counterpropagating wave-mixing (WM) field into an ultracold five-level Rydberg atomic gas to actively break the excitation symmetry. Theoretically, the far-detuned WM field is treated as a steady-state dressing field. Through adiabatic elimination, the conventional third-order wave-mixing process is effectively reduced and incorporated into the first-order linear background of the system. Combined with the reduced density-matrix expansion method, this approach goes beyond both the mean-field and ground-state approximations, allowing for a self-consistent solution of the many-body dynamics that include nonlocal cascaded integrals governed by long-range van der Waals interactions. Our analytical derivations and numerical calculations demonstrate that this symmetry-breaking mechanism breaks the propagation blockade, enabling efficient utilization of the nonlocal Rydberg Kerr effect. As a result, the third-order nonlinear rotation angle is enhanced by a factor exceeding 24, offering a highly efficient mechanism for ultrasensitive atomic magnetometry and all-optical quantum information processing.

Comments: 15 pages, 5 figures

Related papers

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

Yue Mu, Lu Qin, Zeyun Shi +1 more

We investigate the Kerr and magneto-optical effects for a probe laser field with two orthogonally polarized components, propagating in a cold Rydberg atomic gas with an inverted-$\mathsf{Y}$-type level configuration via double electromagnetically induced transparency (EIT). Through an approach beyond both mean-field and ground-state approximations, we make detailed calculations on third-order nonlinear optical susceptibilities and show that the system possesses giant nonlocal self- and cross-Kerr nonlinearities contributed by Rydberg-Rydberg interaction. The theoretical result of the cross-Kerr nonlinearity obtained for $^{85}\mathrm{Rb}$ atomic gas is very close to the experimental one reported recently. Moreover, we demonstrate that the probe laser field can acquire a very large magneto-optical rotation via the double EIT, which may be used to design atomic magnetometers with high precision. The results presented here are promising not only for the development of nonlocal nonlinear magneto-optics but also for applications in precision measurement and optical information processing and transmission based on Rydberg atomic gases.

arXiv:2104.10815•Physical Review A•Apr 12, 2021•33 citations

Controlling the polarization rotation of an optical field via asymmetry in electromagnetically induced transparency

Bo Wang, Shujing Li, Jie Ma +3 more

We propose and experimentally demonstrate a mechanism to achieve coherent control of the polarization rotation of an optical field in a multilevel electromagnetically induced transparency (EIT) system in rubidium atoms. By choosing a properly polarized coupling field and transition energy levels, the symmetry of the atomic medium to the propagation of two orthogonal polarization components of a weak linearly polarized probe field can be broken, which leads to a coherently controlled rotation of the probe field polarization. This mechanism of coherently controlled optical polarization rotation makes use of asymmetry in EIT subsystems for the two circular polarization components of the probe beam with a contribution from different transition strengths (due to different Clebsh-Gordan coefficients) in this multilevel atomic system.

Physical Review A•May 3, 2006•66 citations

Blockade-induced resonant enhancement of the optical nonlinearity in a Rydberg medium

Annika Tebben, Clément Hainaut, Valentin Walther +4 more

We predict a resonant enhancement of the nonlinear optical response of an interacting Rydberg gas under conditions of electromagnetically induced transparency. The enhancement originates from a two-photon process which resonantly couples electronic states of a pair of atoms dressed by a strong control field. We calculate the optical response for the three-level system by explicitly including the dynamics of the intermediate state. We find an analytical expression for the third-order susceptibility for a weak classical probe field. The nonlinear absorption displays the strongest resonant behavior on two-photon resonance where the detuning of the probe field equals the Rabi frequency of the control field. The nonlinear dispersion of the medium exhibits various spatial shapes depending on the interaction strength. Based on the developed model, we propose a realistic experimental scenario to observe the resonance by performing transmission measurements.

arXiv:1909.06802•Physical Review A•Dec 6, 2019•10 citations

Controlled polarization rotation of an optical field in multi-Zeeman-sublevel atoms

Shujing Li, Bo Wang, Xudong Yang +4 more

We investigate, both theoretically and experimentally, the phenomenon of polarization rotation of a weak, linearly polarized optical (probe) field in an atomic system with multiple three-level electromagnetically induced transparency (EIT) subsystems. The polarization rotation angle can be controlled by a circularly polarized coupling beam, which breaks the symmetry in number of EIT subsystems seen by the left and right circularly polarized components of the weak probe beam. A large polarization rotation angle (up to 45\ifmmode^\circ\else\textdegree\fi{}) has been achieved with a coupling beam power of only $15\phantom{\rule{0.3em}{0ex}}\mathrm{mW}$. Detailed theoretical analyses including different transition probabilities in different transitions and Doppler-broadening are presented and the results are in good agreements with the experimentally measured results.

arXiv:quant-ph/0608234•Physical Review A•Sep 27, 2006•62 citations

Electromagnetically induced gain in molecular systems

Nandini Mukherjee, C. Kumar N. Patel

We report electromagnetically induced gain in a highly degenerate two-level rotational vibrational molecular system. Using two photon (Raman-type) interaction with right and left circularly polarized pump and probe waves, the Zeeman coherence is established within the manifold of degenerate sublevels belonging to a rotational vibrational eigenstate. We analytically and numerically calculate the third-order nonlinear optical susceptibility for a Doppler-broadened molecular transition for an arbitrary high rotational angular momentum $(J\ensuremath{\ge}20)$. It is shown that for a $Q$-type open transition, a weak probe will experience an electromagnetically induced gain in presence of a strong copropagating pump wave. The inversionless gain originates due to cancellation of absorption from the interference of the coupled $\ensuremath{\Lambda}$- and V-type excitation channels in an $N$-type configuration. A detailed analysis of the optical susceptibility as a function of Doppler detuning explains how the gain bands are generated in a narrow transparency window from the overlapping contributions of different velocity groups. It is shown that the orientation dependent coherent interaction in presence of a strong pump induces narrow resonances for the probe susceptibility. The locations, intensity, and sign (positive or negative susceptibility) of these resonances are decided by the frequency detuning of the Doppler group and the strength of the coupling field. The availability of high power tunable quantum cascade lasers covering a spectral region from about 4 to $12\text{ }\ensuremath{\mu}\text{m}$ opens up the possibility of investigating the molecular vibrational rotational transitions for a variety of coherent effects.

Physical Review A•Dec 11, 2009•7 citations

Controlling Rydberg-dressed four-wave mixing via dual electromagnetically induced transparency windows

Zhaoyang Zhang, Haijun Tang, Irfan Ahmed +4 more

Rydberg-dressed four-wave mixing (FWM) is theoretically and experimentally demonstrated with two electromagnetically induced transparency (EIT) windows generated in a Y-type Rb85 atomic configuration. Such dressing effect related to Rydberg states can lead to enhancement and suppression in the FWM process, which can be manipulated by the frequency detuning, Rabi frequency, and polarization of laser fields. Particularly, with the enhancement condition satisfied, coexisting FWM and Rydberg six-wave mixing (SWM) peaks with ultranarrow linewidth (much less than 30 MHz) are simultaneously observed. The controllable enhancement and suppression in a Rydberg-EIT medium can provide a novel nondestructive nonlinear method to investigate the spectrum involving Rydberg excitation in the atomic ensemble above room temperature.

Journal of the Optical Society of America B•Jul 12, 2016•3 citations

The nonlinear magneto-optical rotation effect is central to precision measurements of weak magnetic fields and optical quantum information processing. In conventional single-beam excitation systems, the propagation of the nonlinear signal is restricted by an energy-symmetry-induced propagation blockade. This blockade originates from the symmetrical evolution of the orthogonal circularly polarized components of the probe field, which prevents spatial accumulation of the nonlinear polarization. We propose introducing a far-detuned, counterpropagating wave-mixing (WM) field into an ultracold five-level Rydberg atomic gas to actively break the excitation symmetry. Theoretically, the far-detuned WM field is treated as a steady-state dressing field. Through adiabatic elimination, the conventional third-order wave-mixing process is effectively reduced and incorporated into the first-order linear background of the system. Combined with the reduced density-matrix expansion method, this approach goes beyond both the mean-field and ground-state approximations, allowing for a self-consistent solution of the many-body dynamics that include nonlocal cascaded integrals governed by long-range van der Waals interactions. Our analytical derivations and numerical calculations demonstrate that this symmetry-breaking mechanism breaks the propagation blockade, enabling efficient utilization of the nonlocal Rydberg Kerr effect. As a result, the third-order nonlinear rotation angle is enhanced by a factor exceeding 24, offering a highly efficient mechanism for ultrasensitive atomic magnetometry and all-optical quantum information processing.

We investigate the Kerr and magneto-optical effects for a probe laser field with two orthogonally polarized components, propagating in a cold Rydberg atomic gas with an inverted-

\mathsf{Y}

-type level configuration via double electromagnetically induced transparency (EIT). Through an approach beyond both mean-field and ground-state approximations, we make detailed calculations on third-order nonlinear optical susceptibilities and show that the system possesses giant nonlocal self- and cross-Kerr nonlinearities contributed by Rydberg-Rydberg interaction. The theoretical result of the cross-Kerr nonlinearity obtained for

^{85}\mathrm{Rb}

atomic gas is very close to the experimental one reported recently. Moreover, we demonstrate that the probe laser field can acquire a very large magneto-optical rotation via the double EIT, which may be used to design atomic magnetometers with high precision. The results presented here are promising not only for the development of nonlocal nonlinear magneto-optics but also for applications in precision measurement and optical information processing and transmission based on Rydberg atomic gases.

We propose and experimentally demonstrate a mechanism to achieve coherent control of the polarization rotation of an optical field in a multilevel electromagnetically induced transparency (EIT) system in rubidium atoms. By choosing a properly polarized coupling field and transition energy levels, the symmetry of the atomic medium to the propagation of two orthogonal polarization components of a weak linearly polarized probe field can be broken, which leads to a coherently controlled rotation of the probe field polarization. This mechanism of coherently controlled optical polarization rotation makes use of asymmetry in EIT subsystems for the two circular polarization components of the probe beam with a contribution from different transition strengths (due to different Clebsh-Gordan coefficients) in this multilevel atomic system.

We predict a resonant enhancement of the nonlinear optical response of an interacting Rydberg gas under conditions of electromagnetically induced transparency. The enhancement originates from a two-photon process which resonantly couples electronic states of a pair of atoms dressed by a strong control field. We calculate the optical response for the three-level system by explicitly including the dynamics of the intermediate state. We find an analytical expression for the third-order susceptibility for a weak classical probe field. The nonlinear absorption displays the strongest resonant behavior on two-photon resonance where the detuning of the probe field equals the Rabi frequency of the control field. The nonlinear dispersion of the medium exhibits various spatial shapes depending on the interaction strength. Based on the developed model, we propose a realistic experimental scenario to observe the resonance by performing transmission measurements.

We investigate, both theoretically and experimentally, the phenomenon of polarization rotation of a weak, linearly polarized optical (probe) field in an atomic system with multiple three-level electromagnetically induced transparency (EIT) subsystems. The polarization rotation angle can be controlled by a circularly polarized coupling beam, which breaks the symmetry in number of EIT subsystems seen by the left and right circularly polarized components of the weak probe beam. A large polarization rotation angle (up to 45\ifmmode^\circ\else\textdegree\fi{}) has been achieved with a coupling beam power of only

15\phantom{\rule{0.3em}{0ex}}\mathrm{mW}

. Detailed theoretical analyses including different transition probabilities in different transitions and Doppler-broadening are presented and the results are in good agreements with the experimentally measured results.

We report electromagnetically induced gain in a highly degenerate two-level rotational vibrational molecular system. Using two photon (Raman-type) interaction with right and left circularly polarized pump and probe waves, the Zeeman coherence is established within the manifold of degenerate sublevels belonging to a rotational vibrational eigenstate. We analytically and numerically calculate the third-order nonlinear optical susceptibility for a Doppler-broadened molecular transition for an arbitrary high rotational angular momentum $(J\ensuremath{\ge}20)$. It is shown that for a

Q

-type open transition, a weak probe will experience an electromagnetically induced gain in presence of a strong copropagating pump wave. The inversionless gain originates due to cancellation of absorption from the interference of the coupled $\ensuremath{\Lambda}$- and V-type excitation channels in an

N

-type configuration. A detailed analysis of the optical susceptibility as a function of Doppler detuning explains how the gain bands are generated in a narrow transparency window from the overlapping contributions of different velocity groups. It is shown that the orientation dependent coherent interaction in presence of a strong pump induces narrow resonances for the probe susceptibility. The locations, intensity, and sign (positive or negative susceptibility) of these resonances are decided by the frequency detuning of the Doppler group and the strength of the coupling field. The availability of high power tunable quantum cascade lasers covering a spectral region from about 4 to $12\text{ }\ensuremath{\mu}\text{m}$ opens up the possibility of investigating the molecular vibrational rotational transitions for a variety of coherent effects.

Rydberg-dressed four-wave mixing (FWM) is theoretically and experimentally demonstrated with two electromagnetically induced transparency (EIT) windows generated in a Y-type Rb85 atomic configuration. Such dressing effect related to Rydberg states can lead to enhancement and suppression in the FWM process, which can be manipulated by the frequency detuning, Rabi frequency, and polarization of laser fields. Particularly, with the enhancement condition satisfied, coexisting FWM and Rydberg six-wave mixing (SWM) peaks with ultranarrow linewidth (much less than 30 MHz) are simultaneously observed. The controllable enhancement and suppression in a Rydberg-EIT medium can provide a novel nondestructive nonlinear method to investigate the spectrum involving Rydberg excitation in the atomic ensemble above room temperature.