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Collective behavior among coupled dynamical units can emerge in various forms as a result of different coupling topologies as well as different types of coupling functions. Chimera states have recently received ample attention as a…

Adaptation and Self-Organizing Systems · Physics 2017-05-24 Bidesh K. Bera , Soumen Majhi , Dibakar Ghosh , Matjaz Perc

We report a novel mechanism for the formation of chimera states, a peculiar spatiotemporal pattern with coexisting synchronized and incoherent domains found in ensembles of identical oscillators. Considering Stuart-Landau oscillators we…

Chaotic Dynamics · Physics 2015-06-18 Lennart Schmidt , Konrad Schönleber , Katharina Krischer , Vladimir García-Morales

The collective chasing dynamics of non-reciprocally coupled densities leads to stable travelling waves which can be mapped to a model for emergent flocking. In this work, we couple the non-reciprocal Cahn-Hilliard model (NRCH) to a fluid to…

Soft Condensed Matter · Physics 2025-10-08 Giulia Pisegna , Navdeep Rana , Ramin Golestanian , Suropriya Saha

Nonreciprocity can profoundly alter the spectra and dynamics of open quantum systems, yet its impact on the long-time steady-state phases of matter has remained largely unexplored. Here we show that the interplay of nonreciprocity, symmetry…

Quantum Physics · Physics 2026-05-04 Ding Gu , Zhanpeng Fu , Zhong Wang

We present a theoretical study of the interaction between an atom characterized by a degenerate ground state and a reciprocal environment, such as a semiconductor nanoparticle, without the presence of external bias. Our analysis reveals…

Quantum Physics · Physics 2024-03-22 Mário G. Silveirinha , Hugo Terças , Mauro Antezza

We study the behaviour of catalytically active droplets in multi-component conserved mixtures affected by noise. Working in the thin interface limit, we analytically determine the state diagram of the system, characterized by multiple…

Soft Condensed Matter · Physics 2025-12-01 Jacopo Romano , Martin Kjøllesdal Johnsrud , Benoît Mahault , Ramin Golestanian

In active matter, the lack of momentum conservation makes non-reciprocal interactions the rule rather than the exception. They lead to a rich set of emerging behaviors that are hard to account for and to predict starting from the…

Statistical Mechanics · Physics 2024-02-06 Alberto Dinelli , Jérémy O'Byrne , Agnese Curatolo , Yongfeng Zhao , Peter Sollich , Julien Tailleur

All the fundamental interactions (such as gravity or electromagnetic interactions) are reciprocal in nature. However, in the macroscopic world, in particular outside equilibrium, non-reciprocal or non-mutual interactions are quite…

Statistical Mechanics · Physics 2025-11-26 Shaon Mandal Chakraborty , Bibhut Sahoo , Peter Sollich , Rituparno Mandal

Chirality represents a kind of symmetry breaking characterized by the noncoincidence of an object with its mirror image and has been attracting intense attention in a broad range of scientific areas. The recent realization of spin-orbit…

Quantum Gases · Physics 2018-07-27 Wei Han , Xiao-Fei Zhang , Deng-Shan Wang , Hai-Feng Jiang , Wei Zhang , Shou-Gang Zhang

Pair interactions between active particles need not follow Newton's third law. In this work we propose a continuum model of pattern formation due to non-reciprocal interaction between multiple species of scalar active matter. The classical…

Statistical Mechanics · Physics 2020-10-21 Suropriya Saha , Jaime Agudo-Canalejo , Ramin Golestanian

The exotic physics emerging at singularities has long attracted intense theoretical and experimental attention. In non-Hermitian systems, exceptional points (EPs), unique spectral singularities, have given rise to a host of intriguing wave…

Optics · Physics 2026-04-14 Kai Bai , Chen Lin , Jia-Zheng Li , Meng Xiao

There is currently a strong interest in the collective behavior of chiral active particles that can propel and rotate themselves. In the presence of alignment interactions for many chiral particles, chiral self-propulsion can induce vortex…

Soft Condensed Matter · Physics 2024-05-01 Lorenzo Caprini , Benno Liebchen , Hartmut Löwen

Coupled oscillators, even identical ones, display a wide range of behaviours, among them synchrony and incoherence. The 2002 discovery of so-called chimera states, states of coexisting synchronized and unsynchronized oscillators, provided a…

Adaptation and Self-Organizing Systems · Physics 2021-10-27 Sindre W. Haugland , Anton Tosolini , Katharina Krischer

Chirality, nonreciprocity, and quantum correlations are at the center of a wide range of intriguing effects and applications across natural sciences and emerging quantum technologies. However, the direct link combining these three essential…

The occurrence of exceptional points (EPs) is a fascinating non-Hermitian feature of open systems. A level-repulsion phenomenon between two complex states of an open system can be realized by positioning an EP and its time-reversal (T)…

Optics · Physics 2024-05-15 Arnab Laha , Adam Miranowicz , R. K. Varshney , Somnath Ghosh

We studied a collection of chiral active particles (CAP) on a two dimensional substrate using extensive numerical study. Particles interact through soft repulsive interaction. The activity and chirality of particles is tuned by varying…

Soft Condensed Matter · Physics 2022-08-22 Vivek Semwal , Jayam Joshi , Shradha Mishra

We investigate the steady-state and dynamical properties of a reciprocal many-body system consisting of self-propelled active particles with local alignment interactions that exists within a fan-shaped neighborhood of each particle. We find…

Statistical Mechanics · Physics 2022-07-07 Wei-chen Guo , Zuo Wang , Pei-fang Wu , Li-jun Lang , Bao-quan Ai , Liang He

I study deterministic dynamics of chiral active particles in two dimensions. Particles are considered as discs interacting with elastic repulsive forces. An ensemble of particles, started from random initial conditions, demonstrates chaotic…

Chaotic Dynamics · Physics 2020-11-24 Arkady Pikovsky

Static nonreciprocal forces between particles generically drive persistent motion reminiscent of self-propulsion. Here, we demonstrate that reciprocity-breaking fluctuations about a reciprocal mean coupling strength are sufficient to…

Soft Condensed Matter · Physics 2023-04-18 Luca Cocconi , Henry Alston , Thibault Bertrand

The appearance of emergent symmetries in complex systems with components that can form composite units provides us with opportunities for design and control of exotic phase behaviour, for example by exploiting the dynamical symmetry…

Soft Condensed Matter · Physics 2026-03-24 Jakob Metson , Ramin Golestanian