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We study an optomechanical system for the purpose of generating a nonclassical mechanical state when a mechanical oscillator is quadratically coupled to a single-mode cavity field driven by a squeezed optical field. The system corresponds…

Quantum Physics · Physics 2018-10-17 Jae Hoon Lee , Junho Suh , Hyojun Seok

Wigner-positive quantum states have the peculiarity to admit a Wigner function that is a genuine probability distribution over phase space. The Shannon differential entropy of the Wigner function of such states -- called Wigner entropy for…

Quantum Physics · Physics 2026-01-27 Zacharie Van Herstraeten , Nicolas J. Cerf

Within the expansive domain of optical sciences, achieving the precise characterization of light beams stands as a fundamental pursuit, pivotal for various applications, including telecommunications and imaging technologies. This study…

Few-photon optomechanical effects are not only important physical evidences for understanding the radiation-pressure interaction between photons and mechanical oscillation, but also have wide potential applications in modern quantum…

Quantum Physics · Physics 2019-05-01 Fen Zou , Li-Bao Fan , Jin-Feng Huang , Jie-Qiao Liao

We study a generalization of the Wigner function to arbitrary tuples of hermitian operators. We show that for any collection of hermitian operators A1...An , and any quantum state there is a unique joint distribution on R^n, with the…

Quantum Physics · Physics 2020-07-09 René Schwonnek , Reinhard F. Werner

Stationary entanglement between the motion of macroscopic objects and light is a long-standing goal of quantum optomechanics, with implications for both fundamental tests of quantum physics and emerging quantum technologies. We report the…

Quantum Physics · Physics 2026-03-20 Q. Deplano , A. Pontin , F. Marino , F. Marin

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

In previous articles we have developed a theory of down conversion in nonlinear crystals, based on the Wigner representation of the radiation field. Taking advantage of the fact that the Wigner function is always positive in parametric down…

Quantum Physics · Physics 2007-05-23 Alberto Casado , Trevor Marshall , Ramon Risco-Delgado , Emilio Santos

We calculate the Wigner quasiprobability distribution function of quantum elliptical vortex in elliptical beam (EEV), produced by coupling squeezed coherent states of two modes. The coupling between the two modes is performed by using beam…

Quantum Physics · Physics 2010-12-02 Abir Bandyopadhyay , Ravindra Pratap Singh

We investigate a setup where a cloud of atoms is trapped in an optical lattice potential of a standing wave laser field which is created by retro-reflection on a micro-membrane. The membrane vibrations itself realize a quantum mechanical…

Quantum Physics · Physics 2010-08-31 K. Hammerer , K. Stannigel , C. Genes , P. Zoller , P. Treutlein , S. Camerer , D. Hunger , T. W. Haensch

The Wigner function is a well-known phase space distribution function with many applications in quantum mechanics. In this article, we consider an open quantum system consisting of a non-relativistic single particle interacting with a…

Quantum Physics · Physics 2026-05-06 Nick Huggett , Christian Käding , Mario Pitschmann , James Read

We first review the usefulness of the Wigner distribution functions (WDF), associated with Lindblad and pre-master equations, for analyzing a host of problems in Quantum Optics where dissipation plays a major role, an arena where weak…

Quantum Physics · Physics 2009-11-10 R. F. O'Connell

Atomic systems in regular lattices are intriguing systems for implementing ideas in quantum simulation and information processing. Focusing on laser cooled ions forming Wigner crystals in Penning traps, we find a robust and simple approach…

Quantum Physics · Physics 2009-11-13 J. M. Taylor , T. Calarco

While commonly used entanglement criteria for continuous variable systems are based on quadrature measurements, here we study entanglement detection from measurements of the Wigner function. These are routinely performed in platforms such…

Quantum Physics · Physics 2026-03-25 Shuheng Liu , Jiajie Guo , Qiongyi He , Matteo Fadel

The controllable positioning of a vacuum-levitated object near a material surface is of importance for studying short-range forces, such as Casimir forces, interfacial friction forces, or gravity in yet unexplored parameter regimes. Here we…

Both classical and quantum damped systems give rise to complex spectra and corresponding resonant states. We investigate how resonant states, which do not belong to the Hilbert space, fit the phase space formulation of quantum mechanics. It…

Mathematical Physics · Physics 2007-05-23 D. Chruscinski

Levitated optomechanics, a rapidly expanding field that employs light to monitor and manipulate the mechanical motion of levitated objects, is increasingly relevant across physics, engineering, and other fields. This technique, which…

Optics · Physics 2024-07-18 Yuanbin Jin , Kunhong Shen , Peng Ju , Tongcang Li

The Wigner eigenfunctions of a free quantum particle propagating on a plane are derived. Two possibilities are analysed. Firstly, the particle of given energy and angular momentum is discussed. In that case, a special choice of coordinates…

Quantum Physics · Physics 2026-03-12 Hubert Jóźwiak , Jaromir Tosiek

Non-Gaussian operations are essential to exploit the quantum advantages in optical continuous variable quantum information protocols. We focus on mode-selective photon addition and subtraction as experimentally promising processes to create…

Quantum Physics · Physics 2017-11-08 Mattia Walschaers , Claude Fabre , Valentina Parigi , Nicolas Treps

We propose a refined iterative likelihood-maximization algorithm for reconstructing a quantum state from a set of tomographic measurements. The algorithm is characterized by a very high convergence rate and features a simple adaptive…

Quantum Physics · Physics 2009-11-13 Jaroslav Rehacek , Zdenek Hradil , E. Knill , A. I. Lvovsky
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