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This paper addresses the amplitude and phase dynamics of a large system non-linear coupled, non-identical damped harmonic oscillators, which is based on recent research in coupled oscillation in optomechanics. Our goal is to investigate the…

Chaotic Dynamics · Physics 2015-06-23 P. Cudmore , C. A. Holmes

We demonstrate that ultrafast nonlinear dynamics gives rise to reciprocity breaking in a random photonic medium. Reciprocity breaking is observed via the suppression of coherent backscattering, a manifestation of weak localization of light.…

Mesoscale and Nanoscale Physics · Physics 2012-07-31 Otto L. Muskens , Paul Venn , Timmo van der Beek , Thomas Wellens

Nonreciprocal interactions are known to produce distinctive dynamics in active matter. To shed light on how the stationary state of such systems is affected by breaking reciprocity, we consider active Ornstein-Uhlenbeck particles coupled…

Statistical Mechanics · Physics 2025-10-16 Matthew Du , Andriy Goychuk , Suriyanarayanan Vaikuntanathan

Nonreciprocal active matter systems typically feature an asymmetric role among interacting agents, such as a pursuer-evader relationship. We propose a multi-species nonreciprocal active matter model that is invariant under permutations of…

Statistical Mechanics · Physics 2025-12-23 Chul-Ung Woo , Heiko Rieger , Jae Dong Noh

For sound waves impinging on a one-dimensional medium, we show that nonlinearity can lead to nonreciprocal transmission, without dissipation or broken time reversal invariance. Placing quasi-monochromatic filters at the ends of the…

Condensed Matter · Physics 2007-05-23 Onuttom Narayan , Abhishek Dhar

Nonreciprocity means that the transmission of a signal depends on its direction of propagation. Despite vastly different platforms and underlying working principles, the realisations of nonreciprocal transport in linear, time-independent…

Mesoscale and Nanoscale Physics · Physics 2024-04-22 Clara C. Wanjura , Jesse J. Slim , Javier del Pino , Matteo Brunelli , Ewold Verhagen , Andreas Nunnenkamp

Investigating the robustness of non-reciprocity in the presence of competing interactions is central to understanding non-reciprocal quantum matter. In this work, we use reservoir engineering to induce non-reciprocal hopping and pairing in…

Quantum Physics · Physics 2025-10-30 Pietro Brighi , Andreas Nunnenkamp

Breaking the reciprocity of wave propagation is a problem of fundamental interest, and a mucht-sought functionality in practical applications, both in photonics and phononics. Although it has been achieved using resonant linear scattering…

Applied Physics · Physics 2024-03-12 Tiemo Pedergnana , Abel Faure-Beaulieu , Romain Fleury , Nicolas Noiray

This study introduces a novel method to break wave transmission reciprocity by leveraging the synchronization of self-oscillators. An experimental demonstration with aeroacoustic cavities is presented. They behave as weakly nonlinear limit…

Applied Physics · Physics 2025-08-25 Alexander K. Stoychev , Ulrich Kuhl , Nicolas Noiray

Reciprocity is a fundamental symmetry present in many natural phenomena and engineered systems. Distinct situations where this symmetry is broken are typically grouped under the umbrella term "nonreciprocity", colloquially defined by: the…

Statistical Mechanics · Physics 2026-02-12 Michel Fruchart , Vincenzo Vitelli

Energy dissipation is an unavoidable phenomenon of physical systems that are directly coupled to an external environmental bath. The ability to engineer the processes responsible for dissipation and coupling is fundamental to manipulate the…

Classical Physics · Physics 2017-06-28 Changyao Chen , Damián H. Zanette , David Czaplewski , Steven Shaw , Daniel López

While non-reciprocal couplings are ubiquitous in classical systems, their impact on quantum many-body criticality and entanglement remains largely unexplored. Using exact numerical simulations, we study an interacting fermionic chain…

Quantum Physics · Physics 2026-02-06 Rafael D. Soares , Matteo Brunelli , Marco Schirò

Nonreciprocal devices are a key element for signal routing and noise isolation. Rapid development of quantum technologies has boosted the demand for a new generation of miniaturized and low-loss nonreciprocal components. Here we use a pair…

Breaking reciprocity has recently gained significant attention due to its broad range of applications in engineering systems. Here, we introduce the first experimental demonstration of a broadband mechanical beam waveguide, which can be…

Applied Physics · Physics 2023-01-04 Amin Mehrvarz , Mohammad Javad Khodaei , Amir Darabi , Ahmad Zareei , Nader Jalili

Enhanced interaction between two two-level emitters (e.g., atoms) by nonreciprocal photonic media can be of benefit to broad areas, from quantum information science to biological detection. Here we provide a detailed analysis on why…

Quantum Physics · Physics 2022-09-14 S. Ali Hassani Gangaraj , Lei Ying , Francesco Monticone , Zongfu Yu

One of the key contributions of the 1972 seminal paper by Willems was the analysis of symmetry (also called reciprocity) of input-state-output systems, both from an external (input-output) and internal (state) point of view. The developed…

Optimization and Control · Mathematics 2024-01-02 Arjan van der Schaft

Newton's third law, actio = reactio, is a foundational statement of classical mechanics. However, in natural and living systems, this law appears to be routinely violated for constituents interacting in a nonequilibrium environment. Here,…

Soft Condensed Matter · Physics 2023-05-30 Yu-Jen Chiu , Ahmad K. Omar

The reciprocity principle is that, when an emitted wave gets scattered on an object, the scattering transition amplitude does not change if we interchange the source and the detector - in other words, if incoming waves are interchanged with…

Quantum Physics · Physics 2015-11-19 László Deák , Tamás Fülöp

The dynamics of a non-autonomous oscillator in which the phase and frequency of the external force depend on the dynamical variable is studied. Such a control of the phase and frequency of the external force leads to the appearance of…

Chaotic Dynamics · Physics 2020-03-18 Darina Krylosova , Evgeny Seleznev , Nataliya Stankevich

Realization of nonreciprocal transmission with low insertion loss and high contrast simultaneously is in great demand for one-way optical communication and information processing. Here we propose a generic approach to achieving perfect…

Optics · Physics 2023-02-08 Xinyao Huang , Yong-Chun Liu