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We study the phenomena of topological amplification in arrays of parametric oscillators. We find two phases of topological amplification, both with directional transport and exponential gain with the number of sites, and one of them…

Quantum Physics · Physics 2023-05-24 Álvaro Gómez-León , Tomás Ramos , Alejandro González-Tudela , Diego Porras

In order for non-Hermitian (NH) topological effects to be relevant for practical applications, it is necessary to study disordered systems. In the absence of disorder, certain driven-dissipative cavity arrays with engineered non-local…

Mesoscale and Nanoscale Physics · Physics 2023-06-06 Clara C. Wanjura , Matteo Brunelli , Andreas Nunnenkamp

We present a topological approach to the input-output relations of photonic driven-dissipative lattices acting as directional amplifiers. Our theory relies on a mapping from the optical non-Hermitian coupling matrix to an effective…

Quantum Physics · Physics 2021-03-24 Tomás Ramos , Juan José García-Ripoll , Diego Porras

We study the transport properties of a driven-dissipative quantum network, where multiple bosonic cavities such as photonic microcavities are coupled through a nonreciprocal bus with unidirectional transmission. For short-range coupling…

Quantum Physics · Physics 2024-02-06 Mingsheng Tian , Fengxiao Sun , Kaiye Shi , Haitan Xu , Qiongyi He , Wei Zhang

Directional amplifiers are crucial nonreciprocal devices in both classical and quantum information processing. Here we propose a scheme for realizing a directional amplifier between optical and microwave fields based on an optomechanical…

Quantum Physics · Physics 2018-05-22 Cheng Jiang , L. N. Song , Yong Li

Recently, a one-to-one correspondence between non-trivial non-Hermitian topology and directional amplification has been demonstrated, theoretically and experimentally, for the case of one complex band. Here, we extend our framework to…

Mesoscale and Nanoscale Physics · Physics 2025-09-25 Clara C. Wanjura , Andreas Nunnenkamp

Non-reciprocal couplings or drivings are known to induce steady-state, directional, amplification in driven-dissipative bosonic lattices. This amplification phenomenon has been recently linked to the existence of a non-zero topological…

We present a characterization of topological phases in photonic lattices. Our theory relies on a formal equivalence between the singular value decomposition of the non-Hermitian coupling matrix and the diagonalization of an effective…

Quantum Physics · Physics 2019-04-17 Diego Porras , Samuel Fernandez-Lorenzo

We realize and characterize a quantum-limited, directional Josephson amplifier suitable for qubit readout. The device consists of two nondegenerate, three-wave-mixing amplifiers that are coupled together in an interferometric scheme,…

Instrumentation and Detectors · Physics 2018-01-29 Baleegh Abdo , Nick Bronn , Oblesh Jinka , Salvatore Olivadese , Markus Brink , Jerry M. Chow

Amplification underlies the operation of many biological and engineering systems. Simple electrical, optical, and mechanical amplifiers are reciprocal: the backward coupling of the output to the input equals the forward coupling of the…

Instrumentation and Detectors · Physics 2011-04-15 Tobias Reichenbach , A. J. Hudspeth

We discuss a general method for constructing nonreciprocal, cavity-based photonic devices, based on matching a given coherent interaction with its corresponding dissipative counterpart; our method generalizes the basic structure used in the…

Quantum Physics · Physics 2015-06-17 A. Metelmann , A. A. Clerk

In topology, one averages over local geometrical details to reveal robust global features. This approach proves crucial for understanding quantized bulk transport and exotic boundary effects of linear wave propagation in (meta-)materials.…

Mesoscale and Nanoscale Physics · Physics 2024-06-25 Greta Villa , Javier del Pino , Vincent Dumont , Gianluca Rastelli , Mateusz Michałek , Alexander Eichler , Oded Zilberberg

Directional transmission or amplification of microwave signals is indispensable in various applications involving sensitive measurements. In this work we show in experiment how to use a generic cavity optomechanical setup to…

Quantum Physics · Physics 2019-03-27 L. Mercier de Lépinay , E. Damskägg , C. F. Ockeloen-Korppi , M. A. Sillanpää

We present a generic system of three harmonic modes coupled parametrically with a time-varying coupling modulated by a combination of two pump harmonics, and show how this system provides the minimal platform to realize nonreciprocal…

Mesoscale and Nanoscale Physics · Physics 2017-04-05 A. Kamal , A. Metelmann

Efficiently computable stability and performance analysis of nonlinear systems becomes increasingly more important in practical applications. Dissipativity can express stability and performance jointly, but existing results are limited to…

Systems and Control · Electrical Eng. & Systems 2023-08-24 Chris Verhoek , Patrick J. W. Koelewijn , Sofie Haesaert , Roland Tóth

The selective harmonic enhancement in cavities formed by stacks of time-modulated graphene sheets and a reflecting boundary is investigated. A semi-analytic framework based on an operator formulation and the transfer matrix method is…

The investigation of the ultimate limits imposed by quantum mechanics on amplification represents an important topic both on a fundamental level and from the perspective of potential applications. We propose here a novel setup for an…

Mesoscale and Nanoscale Physics · Physics 2017-08-04 C. F. Ockeloen-Korppi , T. T. Heikkilä , M. A. Sillanpää , F. Massel

Driven-dissipative quantum systems can exhibit robust transport and amplification in topological regimes, yet the connection between topology and the extent of correlations remains largely unexplored. In this work, we develop a general…

Quantum Physics · Physics 2026-05-19 Miguel Clavero Rubio , Tomás Ramos , Diego Porras

We propose a three-mode optomechanical system to realize optical nonreciprocal transmission with unidirectional amplification, where the system consists of two coupled cavities and one mechanical resonator which interacts with only one of…

Quantum Physics · Physics 2020-08-05 L. N. Song , Qiang Zheng , Xun-Wei Xu , Cheng Jiang , Yong Li

We show that a dynamic gain-loss modulation in an optical structure can lead to a direction-dependent parity-time (PT) phase transition. The phase transition can be made thresholdless in the forward direction, and yet remains with a…

Optics · Physics 2019-01-23 Alex Y. Song , Yu Shi , Qian Lin , Shanhui Fan
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