Anti-
	    
	    APT
	    
	  -symmetric Kerr gyroscope

Zhang, Huilai; Peng, Meiyu; Xu, Xun-Wei; Jing, Hui

doi:10.1088/1674-1056/ac3988

Cited by 26 publications

(17 citation statements)

References 90 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In recent years, peculiar features of non‐Hermitian systems have been utilized as resources to construct unconventional devices to control the flow of light and its interaction with matter. [ 6–27 ] EP‐enabled classical devices, such as single‐mode lasers, [ 28,29 ] wireless power transfer, [ 30 ] sensors, [ 31–36 ] and topological devices, [ 37,38 ] have been demonstrated. Very recently, EPs have been studied also in purely quantum systems, [ 39–42 ] inspiring a search for EP‐tuned quantum effects and their unique applications.…”

Section: Introductionmentioning

confidence: 99%

Exceptional Photon Blockade: Engineering Photon Blockade with Chiral Exceptional Points

Huang

Özdemir

Liao

et al. 2022

Laser & Photonics Reviews

Self Cite

View full text Add to dashboard Cite

Non‐hermitian spectral degeneracies, known as exceptional points (EPs), feature the simultaneous coalescence of both eigenvalues and the associated eigenstates of a system. A host of intriguing EP effects and their applications have been revealed in the classical realm, such as loss‐induced lasing, single‐mode laser, and EP‐enhanced sensing. Here, it is shown that a purely quantum effect, known as single‐photon blockade, emerges in a Kerr microring resonator due to EP‐induced asymmetric coupling between the optical modes and the nonlinearity‐induced anharmonic energy‐level spacing. A striking feature of this photon blockade is that it emerges at two‐photon resonance which in Hermitian systems will only lead to photon‐induced tunneling but not to photon blockade. By tuning the system towards or away from an EP, one can control quantum correlations, implying the potential use of their system for frequency tunable single‐photon generation and an antibunching‐to‐bunching light switch. The work sheds new light on EP‐engineered purely quantum effects, providing unique opportunities for making and utilizing various single‐photon quantum EP devices.

show abstract

Section: Introductionmentioning

confidence: 99%

Exceptional Photon Blockade: Engineering Photon Blockade with Chiral Exceptional Points

Huang

Özdemir

Liao

et al. 2022

Laser & Photonics Reviews

Self Cite

View full text Add to dashboard Cite

show abstract

“…[6,7] The recently emerging anti-parity-time (APT) symmetry has also attracted much attention, and resulted in interesting applications, e.g., mode switching, [18,32] optical routers, [24] and ultrasensitive sensing. [20,26,28] Recently, intense studies have converged on the interplay between topology and non-Hermiticity, [33][34][35] and have discovered exotic non-Hermitian topological phases in various photonic settings. These phases bring fascinating consequences ranging from intriguing phenomena, for example, non-Hermitian topological light steering, [36] funneling, [37] and nonlinear tuning, [38] to technological applications, such as topological lasing.…”

Section: Introductionmentioning

confidence: 99%

Harnessing Anti‐Parity‐Time Phase Transition in Coupled Topological Photonic Valley Waveguides

Xie

Wei

Yang

et al. 2023

Adv Funct Materials

View full text Add to dashboard Cite

Topological and non‐Hermitian physics provide powerful tools for manipulating light in different ways. Recently, intense studies have converged on the interplay between topology and non‐Hermiticity, and have produced fruitful results in various photonic settings. Currently, the realization of this interplay falls under the paradigm of enabling energy exchange between topological systems and the environment. Beyond this paradigm, it is revealed that a non‐Hermitian phenomenon, i.e., the anti‐parity‐time phase transition, naturally emerges from a Hermitian system realized by coupled topological valley waveguides. Such phase transition gives two exotic topological superstates in the spectral domain. By further combining the two phases with topological robustness, a photonic topological bi‐functional device is realized on a silicon‐on‐insulator platform at telecommunications frequencies. The results provide a new perspective on light manipulation and integrated device applications.

show abstract

“…For example, as the quantum counterpart of Shannon entropy, von Neumann entropy [ 3 ] has been naturally and widely used in quantum information science as a measurement of the uncertainty of information sources in quantum systems and channels. Although quantum mechanics was born with a Hermitian formalism to conserve the normalized probability, non-Hermitian (NH) quantum physics [ 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42 , 43 , 44 , 45 , 46 ] attracted increasingly interesting research in that they are closely related to open and dissipative systems [ 47 , 48 , 49 , 50 , 51 , 52 , 53 , 54 , 55 ], which are normal in the real world and have many applications [ 56 , 57 , 58 , 59 , 60 , 61 , 62 , 63 , 64 , 65 , 66 , 67 , 68 , …”

Section: Introductionmentioning

confidence: 99%

Non-Hermitian Generalization of Rényi Entropy

Zheng

2022

Entropy

View full text Add to dashboard Cite

From their conception to present times, different concepts and definitions of entropy take key roles in a variety of areas from thermodynamics to information science, and they can be applied to both classical and quantum systems. Among them is the Rényi entropy. It is able to characterize various properties of classical information with a unified concise form. We focus on the quantum counterpart, which unifies the von Neumann entropy, max- and min-entropy, collision entropy, etc. It can only be directly applied to Hermitian systems because it usually requires that the density matrices is normalized. For a non-Hermitian system, the evolved density matrix may not be normalized; i.e., the trace can be larger or less than one as the time evolution. However, it is not well-defined for the Rényi entropy with a non-normalized probability distribution relevant to the density matrix of a non-Hermitian system, especially when the trace of the non-normalized density matrix is larger than one. In this work, we investigate how to describe the Rényi entropy for non-Hermitian systems more appropriately. We obtain a concisely and generalized form of α-Rényi entropy, which we extend the unified order-α from finite positive real numbers to zero and infinity. Our generalized α-Rényi entropy can be directly calculated using both of the normalized and non-normalized density matrices so that it is able to describe non-Hermitian entropy dynamics. We illustrate the necessity of our generalization by showing the differences between ours and the conventional Rényi entropy for non-Hermitian detuning two-level systems.

show abstract

Anti- APT -symmetric Kerr gyroscope

Cited by 26 publications

References 90 publications

Exceptional Photon Blockade: Engineering Photon Blockade with Chiral Exceptional Points

Exceptional Photon Blockade: Engineering Photon Blockade with Chiral Exceptional Points

Harnessing Anti‐Parity‐Time Phase Transition in Coupled Topological Photonic Valley Waveguides

Non-Hermitian Generalization of Rényi Entropy

Contact Info

Product

Resources

About