English
Related papers

Related papers: Steady-state generation of negative-Wigner-functio…

200 papers

We propose a scheme to prepare nanomechanical oscillators in nonclassical steady states, characterized by a pronounced negative Wigner function. In our optomechanical approach, the mechanical oscillator couples to multiple laser driven…

Quantum Physics · Physics 2015-05-28 Simon Rips , Martin Kiffner , Ignacio Wilson-Rae , Michael J. Hartmann

Negativity of the Wigner function is seen as a crucial resource for reaching a quantum computational advantage with continuous variable systems. However, these systems, while they allow for the deterministic generation of large entangle…

Quantum Physics · Physics 2020-04-17 Mattia Walschaers , Nicolas Treps

Feedback is a powerful and ubiquitous technique both in classical and quantum system control. Its standard implementation relies on measuring the state of a system, processing the classical signal, and feeding it back to the system. In…

Generating nonclassical states of mechanical systems is a challenge relevant for testing the foundations of quantum mechanics and developing quantum technologies. Significant effort has been made to search for such states in the stationary…

Quantum Physics · Physics 2024-05-15 Jonathan L. Wise , Clément Dutreix , Fabio Pistolesi

The present paper addresses the problem of existence of an (output) feedback law to the purposes of asymptotically steering to zero a given controlled variable, while keeping all state variables bounded, for any initial conditions in a…

Optimization and Control · Mathematics 2007-05-23 Lorenzo Marconi , Laurent Praly , Alberto Isidori

In this paper, we investigate the necessary and sufficient conditions under which a class of nonlinear systems are state feedback equivalent to nonlinear negative imaginary (NI) systems with positive definite storage functions. The…

Systems and Control · Electrical Eng. & Systems 2022-06-08 Kanghong Shi , Ian R. Petersen , Igor G. Vladimirov

Feedback control can be used to generate well-determined nonlinear effective potentials in an optical trap, a goal whose applications may range from non-equilibrium thermodynamics to the generation of non-Gaussian states of mechanical…

This paper establishes absolute stability conditions for nonlinear negative imaginary (NI) systems interconnected with static nonlinear feedback. We first show that the NI property is preserved when the feedback nonlinearity can be…

Systems and Control · Electrical Eng. & Systems 2026-05-08 Kanghong Shi , Ian R. Manchester

Conditional preparation of photon number states from a continuous-wave nondegenerate optical parametric oscillator is investigated. We derive the phase space Wigner function for the output state conditioned on photo detection events that…

Quantum Physics · Physics 2007-06-07 Anne E. B. Nielsen , Klaus Molmer

Non-Gaussian states of light, which are essential in fault-tolerant and universal optical quantum computation, are typically generated by a heralding scheme using photon detectors. Recently, it is theoretically shown that the large timing…

This paper presents necessary and sufficient conditions for deriving a strictly proper dynamic controller which satisfies the negative imaginary output feedback control problem. Our synthesis method divides the output feedback control…

Optimization and Control · Mathematics 2019-05-09 James Dannatt , Ian Petersen

Stability and control of a non-linear system represent an important system configuration that frequently arises in practical engineering. Stability covers a vast range of systems that do not obey the superposition principle and applies to…

Systems and Control · Electrical Eng. & Systems 2022-02-04 Asifa Yousaf

In the control of classical mechanical systems, the feedback has been successfully applied to the production of the desired nonlinear dynamics. However, how much this can be done is still an open problem in quantum mechanical systems. This…

Quantum Physics · Physics 2012-07-24 Jing Zhang , Re-Bing Wu , Yu-xi Liu , Chun-Wen Li , Tzyh-Jong Tarn

Intracavity frequency-doubled solid-state lasers exhibit intensity fluctuations of their light output, which are cause by nonlinear dynamical processes. Up to now, there are different solutions to this problem, but they reduce the output…

Statistical Mechanics · Physics 2016-08-31 F. Lange , T. Letz , K. Pyragas , A. Kittel

It is well-known that some nonlinear phenomena such as strong photon blockade are hard to be observed in optomechanical system with current experimental technology. Here, we present a coherent feedback control strategy in which a linear…

Quantum Physics · Physics 2014-07-14 Yu-Long Liu , Zhong-Peng Liu , Jing Zhang , Yu-xi Liu

Quantum states of light, particularly at optical frequencies, are considered necessary to realize a host of important quantum technologies and applications, spanning Heisenberg-limited metrology, continuous-variable quantum computing, and…

Quantum Physics · Physics 2023-12-13 Sean Chen , Nicholas Rivera , Jamison Sloan , Marin Soljacic

We implement the direct sampling of negative phase-space functions via unbalanced homodyne measurement using click-counting detectors. The negativities significantly certify nonclassical light in the high-loss regime using a small number of…

Quantum Physics · Physics 2018-02-14 M. Bohmann , J. Tiedau , T. Bartley , J. Sperling , C. Silberhorn , W. Vogel

Control-affine output systems generically present observability singularities, i.e. inputs that make the system unobservable. This proves to be a difficulty in the context of output feedback stabilization, where this issue is usually…

Optimization and Control · Mathematics 2021-01-18 Lucas Brivadis , Jean-Paul Gauthier , Ludovic Sacchelli , Ulysse Serres

This note studies the robust output feedback stabilization problem of a class of multi-input multi-output invertible nonlinear systems, for which an "ideal" state feedback based on feedback linearization can be designed under certain mild…

Systems and Control · Electrical Eng. & Systems 2021-01-07 Lei Wang , Christopher M. Kellett

The paper shows that positive linear systems can be stabilized using positive Luenberger-type observers. This is achieved by structuring the observer as monotonically converging upper and lower bounds on the state. Analysis of the…

Optimization and Control · Mathematics 2026-04-21 David Ohlin , Anders Rantzer , Emma Tegling