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

Nonreciprocal transition with cyclic four-level transition

Xun‐Wei Xu, Hai-Quan Shi, Aixi Chen

Published Oct 19, 2020• 0 citations
OpenAlex

Abstract

We propose a theoretical scheme to realize nonreciprocal transition in a multi-level atomic system with cyclic four-level transition. The effective transition between two indirectly coupled energy levels become nonreciprocal, when they are coupled to two auxiliary levels simultaneously, by four strong driving fields with the total phase serving as a synthetic magnetic flux and breaking the time reversal symmetry of the system. The nonreciprocal transition can lead to the elimination of a spectral line in the spontaneous emission spectrum, which provide us a simple approach to measure the phenomenon in steady state. This work provides a feasible approach to observe nonreciprocal transition in a wide range of multi-level systems, including natural atoms with parity symmetry.

Related papers

Nonreciprocal transition between two indirectly coupled energy levels

Xun‐Wei Xu, Hai-Quan Shi, Aixi Chen

We propose a theoretical scheme to realize nonreciprocal transition between two energy levels that can not coupled directly. Suppose they are coupled indirectly by two auxiliary levels with a cyclic four-level configuration, and the four transitions in the cyclic configuration are controlled by external fields. The indirectly transition become nonreciprocal when the time reversal symmetry of the system is broken by the synthetic magnetic flux, i.e., the total phase of the external driving fields through the cyclic four-level configuration. The nonreciprocal transition can be identified by the elimination of a spectral line in the spontaneous emission spectrum. Our work introduces a feasible way to observe nonreciprocal transition in a wide range of multi-level systems, including natural atoms or ions with parity symmetry.

arXiv:2010.09604•Frontiers of Physics•Dec 24, 2021•2 citations

Nonreciprocal transition between two nondegenerate energy levels

Xun‐Wei Xu, Yan-Jun Zhao, Hui Wang +2 more

Stimulated emission and absorption are two fundamental processes of light–matter interaction, and the coefficients of the two processes should be equal. However, we will describe a generic method to realize the significant difference between the stimulated emission and absorption coefficients of two nondegenerate energy levels, which we refer to as a nonreciprocal transition. As a simple implementation, a cyclic three-level atom system, comprising two nondegenerate energy levels and one auxiliary energy level, is employed to show a nonreciprocal transition via a combination of synthetic magnetism and reservoir engineering. Moreover, a single-photon nonreciprocal transporter is proposed using two one-dimensional semi-infinite coupled-resonator waveguides connected by an atom with nonreciprocal transition effect. Our work opens up a route to design atom-mediated nonreciprocal devices in a wide range of physical systems.

arXiv:1908.08323•Photonics Research•Mar 12, 2021•10 citations

Amplified Nonreciprocal Reflection in a Uniform Atomic Medium with the Help of Spontaneous Emissions

Xinyu Lin, Xinfu Zheng, Yue Geng +5 more

It is important to elaborate on versatile strategies for achieving the perfect nonreciprocal reflection amplification, which is the key technology of high-quality nonreciprocal photonic devices. In this work, we ingeniously design a coherent four-level N-type atomic system to harness the nonreciprocal light amplification, in which the uniform distribution of atoms is driven by two strong coupling fields and a weak probe field. In our regime, the strength of the two control fields is designed with linear variation along the x direction to destroy the spatial symmetry of the probe susceptibility, leading to the nonreciprocity of the reflection. In particular, the closed-loop transitions to amplify the probe field are due to the combined effect of the control fields and spontaneous emissions. The numerical simulation indicates that the perfect nonreciprocal reflection amplification can be realized and modulated by the appropriate settings of the control fields and the detuning, Δc. Our results will open a new route toward harnessing nonreciprocity, which can provide more convenience and possibilities in experimental realization.

Photonics•Apr 22, 2024•2 citations

Optical nonreciprocity and nonreciprocal photonic devices with directional four-wave mixing effect

Tao Shui, Wen‐Xing Yang, Mu-Tian Cheng +1 more

A scheme for magnetic-free optical nonreciprocity in an ensemble of four-level cold atoms is proposed by exploiting the directional four-wave mixing effect. Using experimentally achievable parameters, the nonreciprocal optical responses of the system can be observed and the conversion on nonreciprocal transmission and nonreciprocal phase shift can be implemented. These nonreciprocal phenomena originate from the directional phase matching, which breaks the time-reversal symmetry and dynamic reciprocity of the cold atomic system. Moreover, by embedding the cold atoms into a Mach-Zehnder interferometer and choosing proper parameters, a two-port optical isolator with an isolation ratio of 79.70 dB and an insertion loss of 0.35 dB and a four-port optical circulator with a fidelity of 0.9985 and a photon survival probability of 0.9278 can be realized, which shows the high performance of isolation and circulation. The proposal may enable a new class of optically controllable cavity-free nonreciprocal devices in optical signal processing at the low light level.

Optics Express•Feb 4, 2022•28 citations

Nonreciprocal Dicke Model

E. I. Rodríguez Chiacchio, Andreas Nunnenkamp, Matteo Brunelli

We investigate the physics of an open two-component Dicke model, where the light field mediates nonreciprocal interactions between two spin species. We show that the model, which we dub nonreciprocal Dicke model, exhibits a discrete parity-time (PT) symmetry and we characterize the emergence of a nonstationary phase, so far explained in terms of dissipation-induced instability, as spontaneous breaking of PT symmetry. We further show that such PT symmetry breaking embodies an instance of a nonreciprocal phase transition, a concept recently introduced by Fruchart et al. [Nature (London) 592, 363 (2021)NATUAS0028-083610.1038/s41586-021-03375-9]. Remarkably, the phase transition in our model does not necessitate the presence of any underlying broken symmetry or exceptional points in the spectrum, both believed to be essential requirements for nonreciprocal phase transitions. Our results establish driven-dissipative light-matter systems as a new avenue for exploring nonreciprocal phase transitions and contribute to the theory of nonreciprocal collective phenomena.

arXiv:2302.06386•Physical Review Letters•Sep 13, 2023•53 citations

Quantum interference and exceptional points in a nonreciprocal two-level system

Jing Dong, Xiao-Lin Li, Fu-Quan Dou +1 more

Non-Hermitian systems with complex-valued energy spectra and exceptional points show unconventional dynamics. Here we investigate the quantum interference of a self-interacting two-level system in which the coupling between the levels is nonreciprocal. We propose the multiple-passage Landau-Zener-St\"uckelberg-Majorana scheme to realize the quantum interferometry of such a non-Hermitian system, that is, the energy bias between two levels is periodically modulated, which may result in constructive or destructive interference. In the absence of nonlinear self-interaction, it exhibits obvious interference fringes in the weak nonreciprocal regime, whereas the interference is completely suppressed in the strong nonreciprocal regime due to the parity-time-symmetry breaking. The explicit expressions for the occupation probabilities are obtained within an effective rotating-wave approximation, which is consistent with the numerical results. In the presence of nonlinear interaction, the system shows a rich variety of dynamics and interference fringes. We further obtain phase diagrams for large ranges of nonreciprocity and nonlinear interaction parameters to explicitly demonstrate quantum interference within the nonlinear non-Hermitian system. The present work unlocks quantum interference characteristics from a nonreciprocal two-level system and provides a theoretical perspective for the manipulation of quantum states in non-Hermitian systems.

Physical Review A•Dec 8, 2023•9 citations
We propose a theoretical scheme to realize nonreciprocal transition in a multi-level atomic system with cyclic four-level transition. The effective transition between two indirectly coupled energy levels become nonreciprocal, when they are coupled to two auxiliary levels simultaneously, by four strong driving fields with the total phase serving as a synthetic magnetic flux and breaking the time reversal symmetry of the system. The nonreciprocal transition can lead to the elimination of a spectral line in the spontaneous emission spectrum, which provide us a simple approach to measure the phenomenon in steady state. This work provides a feasible approach to observe nonreciprocal transition in a wide range of multi-level systems, including natural atoms with parity symmetry.
We propose a theoretical scheme to realize nonreciprocal transition between two energy levels that can not coupled directly. Suppose they are coupled indirectly by two auxiliary levels with a cyclic four-level configuration, and the four transitions in the cyclic configuration are controlled by external fields. The indirectly transition become nonreciprocal when the time reversal symmetry of the system is broken by the synthetic magnetic flux, i.e., the total phase of the external driving fields through the cyclic four-level configuration. The nonreciprocal transition can be identified by the elimination of a spectral line in the spontaneous emission spectrum. Our work introduces a feasible way to observe nonreciprocal transition in a wide range of multi-level systems, including natural atoms or ions with parity symmetry.
Stimulated emission and absorption are two fundamental processes of light–matter interaction, and the coefficients of the two processes should be equal. However, we will describe a generic method to realize the significant difference between the stimulated emission and absorption coefficients of two nondegenerate energy levels, which we refer to as a nonreciprocal transition. As a simple implementation, a cyclic three-level atom system, comprising two nondegenerate energy levels and one auxiliary energy level, is employed to show a nonreciprocal transition via a combination of synthetic magnetism and reservoir engineering. Moreover, a single-photon nonreciprocal transporter is proposed using two one-dimensional semi-infinite coupled-resonator waveguides connected by an atom with nonreciprocal transition effect. Our work opens up a route to design atom-mediated nonreciprocal devices in a wide range of physical systems.
It is important to elaborate on versatile strategies for achieving the perfect nonreciprocal reflection amplification, which is the key technology of high-quality nonreciprocal photonic devices. In this work, we ingeniously design a coherent four-level N-type atomic system to harness the nonreciprocal light amplification, in which the uniform distribution of atoms is driven by two strong coupling fields and a weak probe field. In our regime, the strength of the two control fields is designed with linear variation along the x direction to destroy the spatial symmetry of the probe susceptibility, leading to the nonreciprocity of the reflection. In particular, the closed-loop transitions to amplify the probe field are due to the combined effect of the control fields and spontaneous emissions. The numerical simulation indicates that the perfect nonreciprocal reflection amplification can be realized and modulated by the appropriate settings of the control fields and the detuning, Δc. Our results will open a new route toward harnessing nonreciprocity, which can provide more convenience and possibilities in experimental realization.
A scheme for magnetic-free optical nonreciprocity in an ensemble of four-level cold atoms is proposed by exploiting the directional four-wave mixing effect. Using experimentally achievable parameters, the nonreciprocal optical responses of the system can be observed and the conversion on nonreciprocal transmission and nonreciprocal phase shift can be implemented. These nonreciprocal phenomena originate from the directional phase matching, which breaks the time-reversal symmetry and dynamic reciprocity of the cold atomic system. Moreover, by embedding the cold atoms into a Mach-Zehnder interferometer and choosing proper parameters, a two-port optical isolator with an isolation ratio of 79.70 dB and an insertion loss of 0.35 dB and a four-port optical circulator with a fidelity of 0.9985 and a photon survival probability of 0.9278 can be realized, which shows the high performance of isolation and circulation. The proposal may enable a new class of optically controllable cavity-free nonreciprocal devices in optical signal processing at the low light level.
We investigate the physics of an open two-component Dicke model, where the light field mediates nonreciprocal interactions between two spin species. We show that the model, which we dub nonreciprocal Dicke model, exhibits a discrete parity-time (PT) symmetry and we characterize the emergence of a nonstationary phase, so far explained in terms of dissipation-induced instability, as spontaneous breaking of PT symmetry. We further show that such PT symmetry breaking embodies an instance of a nonreciprocal phase transition, a concept recently introduced by Fruchart et al. [Nature (London) 592, 363 (2021)NATUAS0028-083610.1038/s41586-021-03375-9]. Remarkably, the phase transition in our model does not necessitate the presence of any underlying broken symmetry or exceptional points in the spectrum, both believed to be essential requirements for nonreciprocal phase transitions. Our results establish driven-dissipative light-matter systems as a new avenue for exploring nonreciprocal phase transitions and contribute to the theory of nonreciprocal collective phenomena.
Non-Hermitian systems with complex-valued energy spectra and exceptional points show unconventional dynamics. Here we investigate the quantum interference of a self-interacting two-level system in which the coupling between the levels is nonreciprocal. We propose the multiple-passage Landau-Zener-St\"uckelberg-Majorana scheme to realize the quantum interferometry of such a non-Hermitian system, that is, the energy bias between two levels is periodically modulated, which may result in constructive or destructive interference. In the absence of nonlinear self-interaction, it exhibits obvious interference fringes in the weak nonreciprocal regime, whereas the interference is completely suppressed in the strong nonreciprocal regime due to the parity-time-symmetry breaking. The explicit expressions for the occupation probabilities are obtained within an effective rotating-wave approximation, which is consistent with the numerical results. In the presence of nonlinear interaction, the system shows a rich variety of dynamics and interference fringes. We further obtain phase diagrams for large ranges of nonreciprocity and nonlinear interaction parameters to explicitly demonstrate quantum interference within the nonlinear non-Hermitian system. The present work unlocks quantum interference characteristics from a nonreciprocal two-level system and provides a theoretical perspective for the manipulation of quantum states in non-Hermitian systems.