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

Physical Review A

Broadband dynamic nonreciprocity based on a nonlinear Mach-Zehnder interferometer

Rui-Kai Pan, Lei Tang, Keyu Xia

Published Oct 8, 2024• 6 citations
Publisher

Abstract

Nonreciprocal optical devices play a pivotal role in modern optical systems and advanced quantum technologies. Nonreciprocal devices based on optical nonlinearity have garnered significant attention due to their compatibility with on-chip photonics fabrication techniques. However, when the opposite-propagating continuous waves are incident to such nonlinear nonreciprocal devices simultaneously, achieving dynamic nonreciprocity has remained a formidable challenge. In addition, the devices relying on nonlinear resonators suffer from limited bandwidths. In this paper, we theoretically propose a method for achieving an on-chip isolator and quasicirculator by employing a nonlinear Mach-Zehnder interferometer. Harnessing the chirality between self- and cross-Kerr nonlinearities in the nonlinear arm of the interferometer, our device achieves remarkable dynamic nonreciprocity. We obtain an isolation contrast of $\ensuremath{\geqslant}0.9$ for the optical isolator and fidelity of $\ensuremath{\geqslant}0.97$ for the optical quasicirculator, and a broad bandwidth of $20\phantom{\rule{3.33333pt}{0ex}}\text{nm}$ for both. Our protocol paves a way to realize a broadband on-chip nonlinear nonreciprocal device.

DOI
10.1103/physreva.110.043505

Related papers

Dynamic Nonreciprocity with a Kerr Nonlinear Resonator

Rui-Kai Pan, Lei Tang, Keyu Xia +1 more

On-chip optical nonreciprocal devices are vital components for integrated photonic systems and scalable quantum information processing. Nonlinear optical isolators and circulators have attracted considerable attention because of their fundamental interest and their important advantages in integrated photonic circuits. However, optical nonreciprocal devices based on Kerr or Kerr-like nonlinearity are subject to dynamical reciprocity when the forward and backward signals coexist simultaneously in a nonlinear system. Here, we theoretically propose a method for realizing on-chip nonlinear isolators and circulators with dynamic nonreciprocity. Dynamic nonreciprocity is achieved via the chiral modulation on the resonance frequency due to coexisting self- and cross-Kerr nonlinearities in an optical ring resonator. This work showing dynamic nonreciprocity with a Kerr nonlinear resonator can be an essential step toward integrated optical isolation.

arXiv:2208.09205•Chinese Physics Letters•Nov 1, 2022•14 citations

Cavity-Free Optical Isolators and Circulators Using a Chiral Cross-Kerr Nonlinearity

Keyu Xia, Franco Nori, Min Xiao

Optical nonlinearity has been widely used to try to produce optical isolators. However, this is very difficult to achieve due to dynamical reciprocity. Here, we show the use of the chiral cross-Kerr nonlinearity of atoms at room temperature to realize optical isolation, circumventing dynamical reciprocity. In our approach, the chiral cross-Kerr nonlinearity is induced by the thermal motion of N-type atoms. The resulting cross phase shift and absorption of a weak probe field are dependent on its propagation direction. This proposed optical isolator can achieve more than 30 dB of isolation ratio, with a low loss of less than 1 dB. By inserting this atomic medium in a Mach-Zehnder interferometer, we further propose a four-port optical circulator with a fidelity larger than 0.9 and an average insertion loss less than 1.6 dB. Using atomic vapor embedded in an on-chip waveguide, our method may provide chip-compatible optical isolation at the single-photon level of a probe field.

Physical Review Letters•Nov 14, 2018•225 citations

Quantum Squeezing Induced Optical Nonreciprocity

Lei Tang, Jiang-Shan Tang, Mingyuan Chen +3 more

We propose an all-optical approach to achieve optical nonreciprocity on a chip by quantum squeezing one of two coupled resonator modes. By parametric pumping a χ^{(2)}-nonlinear resonator unidirectionally with a classical coherent field, we squeeze the resonator mode in a selective direction due to the phase-matching condition, and induce a chiral photon interaction between two resonators. Based on this chiral interresonator coupling, we achieve an all-optical diode and a three-port quasicirculator. By applying a second squeezed-vacuum field to the squeezed resonator mode, our nonreciprocal device also works for single-photon pulses. We obtain an isolation ratio of >40 dB for the diode and fidelity of >98% for the quasicirculator, and insertion loss of <1 dB for both. We also show that nonreciprocal transmission of strong light can be switched on and off by a relative weak pump light. This achievement implies a nonreciprocal optical transistor. Our protocol opens up a new route to achieve integrable all-optical nonreciprocal devices permitting chip-compatible optical isolation and nonreciporcal quantum information processing.

arXiv:2110.05016•Physical Review Letters•Feb 23, 2022•191 citations

Optical isolation and circulation using quantum frequency conversion on a chip

Jierui Hu, Hao Yuan, Joshua Akin +2 more

Breaking electromagnetic reciprocity enables directional control of light and is essential for both classical and quantum photonic systems. However, realizing integrated optical nonreciprocity that simultaneously combines low loss, broad bandwidth, and compatibility with quantum states of light remains a major challenge. Here, we demonstrate optical nonreciprocity based on quantum frequency conversion in an integrated [Formula: see text] nonlinear waveguide. Operating from classical power levels down to the single-photon level, the device preserves quantum coherence and entanglement of the input photons. We achieve an isolation of 34 decibels with a low on-chip insertion loss of 0.8 decibels and a broad isolation bandwidth, together with a four-port circulator exhibiting an operational fidelity of up to 0.97. Our results establish parametric frequency conversion as a scalable and quantum-compatible route toward integrated nonreciprocal photonic devices for applications in quantum communication and noise-resilient photonic networks.

Science Advances•Aug 7, 2026•0 citations

Integrated all-optical nonreciprocity based on a moving index grating

Lei Tang, Jiang-Shan Tang, Keyu Xia

Optical nonreciprocal devices are critical components in integrated photonic systems and scalable quantum technologies. We propose an all-optical approach to achieve integrated optical nonreciprocity utilizing a moving index grating. The grating is generated in a nonlinear optical waveguide through the Kerr effect by driving the waveguide with two counter-propagating pump fields of slightly different frequencies. Based on this moving index grating, our system exhibits exceptional versatility by achieving both nonreciprocal transmission and reflection of signal fields. We obtain an all-optical isolator that achieves near-unity isolation contrast and negligible insertion loss while effectively addressing the dynamic reciprocity challenge. Our protocol establishes a novel approach for achieving integrated all-optical nonreciprocal devices, paving the way for advanced integrated photonic circuits.

Optics Express•Jan 2, 2025•1 citation

Collision-Induced Broadband Optical Nonreciprocity

Chao Liang, Bei Liu, An‐Ning Xu +6 more

Optical nonreciprocity is an essential property for a wide range of applications, such as building nonreciprocal optical devices that include isolators and circulators. The realization of optical nonreciprocity relies on breaking the symmetry associated with Lorentz reciprocity, which typically requires stringent conditions such as introducing a strong magnetic field or a high-finesse cavity with nonreciprocal coupling geometry. Here we discover that the collision effect of thermal atoms, which is undesirable for most studies, can induce broadband optical nonreciprocity. By exploiting the thermal atomic collision, we experimentally observe magnet-free and cavity-free optical nonreciprocity, which possesses a high isolation ratio, ultrabroad bandwidth, and low insertion loss simultaneously. The maximum isolation ratio is close to 40 dB, while the insertion loss is less than 1 dB. The bandwidth for an isolation ratio exceeding 20 dB is over 1.2 GHz, which is 2 orders of magnitude broader than typical resonance-enhanced optical isolators. Our work paves the way for the realization of high-performance optical nonreciprocal devices and provides opportunities for applications in integrated optics and quantum networks.

Physical Review Letters•Sep 14, 2020•114 citations
Nonreciprocal optical devices play a pivotal role in modern optical systems and advanced quantum technologies. Nonreciprocal devices based on optical nonlinearity have garnered significant attention due to their compatibility with on-chip photonics fabrication techniques. However, when the opposite-propagating continuous waves are incident to such nonlinear nonreciprocal devices simultaneously, achieving dynamic nonreciprocity has remained a formidable challenge. In addition, the devices relying on nonlinear resonators suffer from limited bandwidths. In this paper, we theoretically propose a method for achieving an on-chip isolator and quasicirculator by employing a nonlinear Mach-Zehnder interferometer. Harnessing the chirality between self- and cross-Kerr nonlinearities in the nonlinear arm of the interferometer, our device achieves remarkable dynamic nonreciprocity. We obtain an isolation contrast of \ensuremath⩾0.9\ensuremath{\geqslant}0.9\ensuremath⩾0.9 for the optical isolator and fidelity of \ensuremath⩾0.97\ensuremath{\geqslant}0.97\ensuremath⩾0.97 for the optical quasicirculator, and a broad bandwidth of 20nm20\phantom{\rule{3.33333pt}{0ex}}\text{nm}20nm for both. Our protocol paves a way to realize a broadband on-chip nonlinear nonreciprocal device.
On-chip optical nonreciprocal devices are vital components for integrated photonic systems and scalable quantum information processing. Nonlinear optical isolators and circulators have attracted considerable attention because of their fundamental interest and their important advantages in integrated photonic circuits. However, optical nonreciprocal devices based on Kerr or Kerr-like nonlinearity are subject to dynamical reciprocity when the forward and backward signals coexist simultaneously in a nonlinear system. Here, we theoretically propose a method for realizing on-chip nonlinear isolators and circulators with dynamic nonreciprocity. Dynamic nonreciprocity is achieved via the chiral modulation on the resonance frequency due to coexisting self- and cross-Kerr nonlinearities in an optical ring resonator. This work showing dynamic nonreciprocity with a Kerr nonlinear resonator can be an essential step toward integrated optical isolation.
Optical nonlinearity has been widely used to try to produce optical isolators. However, this is very difficult to achieve due to dynamical reciprocity. Here, we show the use of the chiral cross-Kerr nonlinearity of atoms at room temperature to realize optical isolation, circumventing dynamical reciprocity. In our approach, the chiral cross-Kerr nonlinearity is induced by the thermal motion of N-type atoms. The resulting cross phase shift and absorption of a weak probe field are dependent on its propagation direction. This proposed optical isolator can achieve more than 30 dB of isolation ratio, with a low loss of less than 1 dB. By inserting this atomic medium in a Mach-Zehnder interferometer, we further propose a four-port optical circulator with a fidelity larger than 0.9 and an average insertion loss less than 1.6 dB. Using atomic vapor embedded in an on-chip waveguide, our method may provide chip-compatible optical isolation at the single-photon level of a probe field.
We propose an all-optical approach to achieve optical nonreciprocity on a chip by quantum squeezing one of two coupled resonator modes. By parametric pumping a χ^{(2)}-nonlinear resonator unidirectionally with a classical coherent field, we squeeze the resonator mode in a selective direction due to the phase-matching condition, and induce a chiral photon interaction between two resonators. Based on this chiral interresonator coupling, we achieve an all-optical diode and a three-port quasicirculator. By applying a second squeezed-vacuum field to the squeezed resonator mode, our nonreciprocal device also works for single-photon pulses. We obtain an isolation ratio of >40 dB for the diode and fidelity of >98% for the quasicirculator, and insertion loss of <1 dB for both. We also show that nonreciprocal transmission of strong light can be switched on and off by a relative weak pump light. This achievement implies a nonreciprocal optical transistor. Our protocol opens up a new route to achieve integrable all-optical nonreciprocal devices permitting chip-compatible optical isolation and nonreciporcal quantum information processing.
Breaking electromagnetic reciprocity enables directional control of light and is essential for both classical and quantum photonic systems. However, realizing integrated optical nonreciprocity that simultaneously combines low loss, broad bandwidth, and compatibility with quantum states of light remains a major challenge. Here, we demonstrate optical nonreciprocity based on quantum frequency conversion in an integrated [Formula: see text] nonlinear waveguide. Operating from classical power levels down to the single-photon level, the device preserves quantum coherence and entanglement of the input photons. We achieve an isolation of 34 decibels with a low on-chip insertion loss of 0.8 decibels and a broad isolation bandwidth, together with a four-port circulator exhibiting an operational fidelity of up to 0.97. Our results establish parametric frequency conversion as a scalable and quantum-compatible route toward integrated nonreciprocal photonic devices for applications in quantum communication and noise-resilient photonic networks.
Optical nonreciprocal devices are critical components in integrated photonic systems and scalable quantum technologies. We propose an all-optical approach to achieve integrated optical nonreciprocity utilizing a moving index grating. The grating is generated in a nonlinear optical waveguide through the Kerr effect by driving the waveguide with two counter-propagating pump fields of slightly different frequencies. Based on this moving index grating, our system exhibits exceptional versatility by achieving both nonreciprocal transmission and reflection of signal fields. We obtain an all-optical isolator that achieves near-unity isolation contrast and negligible insertion loss while effectively addressing the dynamic reciprocity challenge. Our protocol establishes a novel approach for achieving integrated all-optical nonreciprocal devices, paving the way for advanced integrated photonic circuits.
Optical nonreciprocity is an essential property for a wide range of applications, such as building nonreciprocal optical devices that include isolators and circulators. The realization of optical nonreciprocity relies on breaking the symmetry associated with Lorentz reciprocity, which typically requires stringent conditions such as introducing a strong magnetic field or a high-finesse cavity with nonreciprocal coupling geometry. Here we discover that the collision effect of thermal atoms, which is undesirable for most studies, can induce broadband optical nonreciprocity. By exploiting the thermal atomic collision, we experimentally observe magnet-free and cavity-free optical nonreciprocity, which possesses a high isolation ratio, ultrabroad bandwidth, and low insertion loss simultaneously. The maximum isolation ratio is close to 40 dB, while the insertion loss is less than 1 dB. The bandwidth for an isolation ratio exceeding 20 dB is over 1.2 GHz, which is 2 orders of magnitude broader than typical resonance-enhanced optical isolators. Our work paves the way for the realization of high-performance optical nonreciprocal devices and provides opportunities for applications in integrated optics and quantum networks.