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arXiv:1909.11989 · Physical Review Applied

Nonreciprocity via Nonlinearity and Synthetic Magnetism

Xun-Wei Xu, Yong Li, Baijun Li, Hui Jing, Ai-Xi Chen

Published Apr 27, 2020• 77 citations
arXivHTMLPDF

Abstract

We propose how to realize nonreciprocity for a weak input optical field via nonlinearity and synthetic magnetism. We show that the photons transmitted from a linear cavity to a nonlinear cavity (i.e., a linear-nonlinear optical molecule) exhibit nonreciprocal photon blockade but no clear nonreciprocal transmission. Both nonreciprocal transmission and nonreciprocal photon blockade can be observed, when one or two auxiliary modes are coupled to the linear-nonlinear optical molecule to generate an artificial magnetic field. A similar method can be used to create and manipulate nonreciprocal transmission and nonreciprocal photon blockade for photons bidirectionally transport in a nonlinear-nonlinear optical molecule. Additionally, a photon circulator with nonreciprocal photon blockade is designed in cyclic three-nonlinear-mode system. The combination of nonlinearity and synthetic magnetism provides us an effective way towards the realization of quantum nonreciprocal devices, e.g., nonreciprocal single-photon sources and single-photon diodes.

DOI
10.1103/physrevapplied.13.044070

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Nonreciprocal photon transmissions at the single-quantum level play crucial roles in optical information processing. Here, we propose to develop a nonreciprocal photonic quantum router via synthetic magnetism, which can route photons of an input quantum state in one direction but block them in the other direction. Our model is based on a superconducting circuit of linearly coupled microwave cavities, and the Lorentz reciprocity is broken by synthesizing an effective magnetic field for photons. As a result, an input quantum signal from a given direction can be delivered on-demand to either of the two output ports, but it from the opposite direction is completely absorbed. Our scheme does not involve strong static magnetic fields and optical nonlinearity for generating the desired optical nonreciprocity. It is, therefore, expected to be a key ingredient for the construction of on-chip quantum networks.
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We propose a scheme to generate and manipulate nonreciprocal photon blockade effect in an asymmetrical Fabry-P\'erot cavity, which consists of a single two-level atom and a second-order nonlinear medium. By utilizing the intrinsic spatial asymmetry of cavity and applying a parametric amplification pumping laser to the nonlinear medium, we can realize direction-dependent single-photon and two-photon blockade effects. For nonreciprocal single-photon blockade, our proposal is robust across a wide range of parameters, such as the cavity or atomic detuning, coupling strength, and atomic decay. Within similar parameter ranges, nonreciprocal two-photon blockade can be achieved and modulated by finely adjusting the parametric amplification pumping. Our project offers a feasible access to generating high-quality and tunable nonreciprocal single- or two-photon sources and paves a new avenue for investigating the nonreciprocity of photon quantum statistical properties.
We propose a scheme for implementing nonreciprocal transmission and a nonreciprocal photon blockade (PB) in a whispering-gallery-mode optomechanical resonator. By decoupling the mechanical degree of freedom under the Born-Oppenheimer approximation, the system is reduced to one incorporating Kerr-type nonlinearities induced by optomechanical coupling, including self-Kerr nonlinearities of the clockwise (CW) and counterclockwise (CCW) modes and cross-Kerr nonlinearity between these two modes, thereby strong nonreciprocal PB and transmission can be implemented. We demonstrate that the nonreciprocal PB and transmission are sensitive to the relative phase $\ensuremath{\theta}$ between CW and CCW modes, allowing for switching between reciprocity and nonreciprocity of PB and transmission through engineering the relative phase of external driving lasers. Numerical results obtained with experimental parameters validate the feasibility of achieving perfect nonreciprocal PB and transmission. Our paper presents a viable mechanism for the implementation of perfect nonreciprocal PB and transmission, along with a versatile approach of phase modulation, which holds great promise in serving as a chiral single-photon source in unidirectional quantum communications based on quantum nonreciprocal devices.
We introduce a method to achieve nonreciprocal photon blockade in an optical resonator that is chirally coupled to a two-level atom. This approach enables single-excitation and two-excitation resonant conditions to be simultaneously satisfied. The atom-uncoupled optical mode can be blocked with eliminating its two-photon excitation by judiciously selecting parameters, e.g., the optical coupling strength. The chiral interaction between the resonator mode and the atom leads to different optimal parameter conditions for generating photon blockade in the two opposite drivings. This offers a natural way to realize nonreciprocal photon blockade. The nonreciprocity achieved by the chiral cavity-atom interaction diminishes the experimental difficulty by eliminating the need to rotate the resonator. The blockade mode achieves very high purity of single-photon excitation, as characterized by a second-order correlation function of ${g}^{(2)}(0)\ensuremath{\sim}{10}^{\ensuremath{-}4}$. In particular, in the nonreciprocal regime, the mean number of photons is significantly higher where photon blockade occurs compared to the general Jaynes-Cummings case. Our findings are particularly relevant for the development of quantum nonreciprocal devices and their applications in quantum information processing, including chiral networks.
Abstract Nonreciprocal devices, allowing to manipulate one‐way signals, are crucial to quantum information processing and quantum networks. Here a nonlinear cavity‐magnon system is proposed, consisting of a microwave cavity coupled to one or two yttrium–iron–garnet (YIG) spheres supporting magnons with Kerr nonlinearity, to investigate nonreciprocal unconventional photon blockade. The nonreciprocity originates from the direction‐dependent Kerr effect, distinctly different from previous proposals with spinning cavities and dissipative couplings. For a single sphere case, nonreciprocal unconventional photon blockade can be realized by manipulating the nonreciprocal destructive interference between two active paths, via varying the Kerr coefficient from positive to negative, or vice versa. By optimizing the system parameters, the perfect and well‐tuned nonreciprocal unconventional photon blockade can be predicted. For the case of two spheres with opposite Kerr effects, only reciprocal unconventional photon blockade can be observed when two cavity‐magnon coupling strengths Kerr strengths are symmetric. However, when coupling strengths or Kerr strengths become asymmetric, nonreciprocal unconventional photon blockade appears. This implies that two‐sphere nonlinear cavity‐magnon systems can be used to switch the transition between reciprocal and nonreciprocal unconventional photon blockades. This study offers a potential platform for investigating the nonreciprocal photon blockade effect in nonlinear cavity magnonics.