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We develop a novel sampling theorem for functions defined on the three-dimensional rotation group SO(3) by connecting the rotation group to the three-torus through a periodic extension. Our sampling theorem requires $4L^3$ samples to…

Information Theory · Computer Science 2016-01-11 J. D. McEwen , M. Büttner , B. Leistedt , H. V. Peiris , Y. Wiaux

Synchronization, a ubiquitous phenomenon in classical systems, has recently been extended to the quantum domain. Here, we show quantum synchronization of a bosonic mode exhibiting a Fock state-like limit cycle, manifesting as a steady state…

Quantum Physics · Physics 2026-05-29 Fabian Hassler , David Scheer , Samah Saquaque , Steven Kim

We have developed the full theory of a synchronously pumped type I optical parametric oscillator (SPOPO). We derive expressions for the oscillation threshold and the characteristics of the generated mode-locked signal beam. We calculate the…

Quantum Physics · Physics 2007-05-23 German J. De Valcarcel , Giuseppe Patera , Nicolas Treps , Claude Fabre

We investigate the quantum properties of superpositions of oppositely squeezed states, which can be regarded as Schrodinger cat states. Compared with conventional coherent-state cat states, these states exhibit distinct photon-number…

Quantum Physics · Physics 2025-11-06 Hiroo Azuma , William J. Munro , Kae Nemoto

This article presents a squeezing transformation for quantum systems associated to finite vector spaces. The physical idea of squeezing here is taken from the action of the usual squeezing operator over wave functions defined on a real…

Quantum Physics · Physics 2008-02-29 M. Ruzzi

The realization of multimode optomechanical interactions in the single-photon strong-coupling regime is a desired task in cavity optomechanics, but it remains a challenge in realistic physical systems. In this work, we propose a reliable…

Quantum Physics · Physics 2021-12-01 Jin Liu , Yue-Hui Zhou , Jian Huang , Jin-Feng Huang , Jie-Qiao Liao

We theoretically investigate the mechanism of two-mode quadrature squeezing in regime of four-wave mixing in a \Lambda-scheme of three-level atoms embedded in a thermal reservoir. We demonstrate that the process of nonlinear transfer of…

Optics · Physics 2017-01-11 Maria Erukhimova , Mikhail Tokman

A recent article [S. Ashhab and M. Ayyash, New J. Phys. 27, 054104 (2025)] has reported unexpected oscillatory dynamics in generalized squeezed states of order higher than two as their squeezing parameter increases. This behaviour, observed…

Quantum Physics · Physics 2026-02-20 Rubén Gordillo-Hachuel , Ricardo Puebla

By introducing the thermo entangled state representation, we convert the calculation of Wigner function (WF) of density operator to an overlap between "two pure" states in a two-mode enlarged Fock space. Furthermore, we derive a new WF…

Quantum Physics · Physics 2015-05-20 Li-yun Hu , Zheng-lu Duan , Xue-xiang Xu , Zi-sheng Wang

Quantum squeezing is an important resource in modern quantum technologies, such as quantum precision measurement and continuous-variable quantum information processing. The generation of squeezed states of mechanical modes is a significant…

Quantum Physics · Physics 2023-07-31 Jian Huang , Deng-Gao Lai , Jie-Qiao Liao

The ability to engineer entangled states that involve macroscopic objects is of particular importance for a wide variety of quantum-enabled technologies, ranging from quantum information processing to quantum sensing. Here we propose how to…

Quantum Physics · Physics 2024-08-07 Ya-Feng Jiao , Yun-Lan Zuo , Yan Wang , Wangjun Lu , Jie-Qiao Liao , Le-Man Kuang , Hui Jing

This work discusses the possibility of using two-mode squeezed light to improve the performance of existing sensor technology with the focus on its miniaturization under realistic losses. Therefore, we analyze a system consisting of a part…

Mesoscopic superpositions of distinguishable coherent states provide an analog to the Schr\"odinger's cat thought experiment. For mechanical oscillators these have primarily been realised using coherent wavepackets, for which the…

We report on the generation of continuous-wave squeezed vacuum states of light at the telecommunication wavelength of 1550 nm. The squeezed vacuum states were produced by type I optical parametric amplification (OPA) in a standing-wave…

Backaction-evading measurements of mechanical motion can achieve precision below the zero-point uncertainty and quantum squeezing, which makes them a resource for quantum metrology and quantum information processing. We provide an exact…

Quantum Physics · Physics 2020-07-06 Matteo Brunelli , Daniel Malz , Andreas Nunnenkamp

Bright squeezed vacuum, a macroscopic nonclassical state of light, can be obtained at the output of a strongly pumped non-seeded traveling-wave optical parametric amplifier (OPA). By constructing the OPA of two consecutive crystals…

Quantum Physics · Physics 2015-02-25 A. M. Pérez , T. Sh. Iskhakov , P. Sharapova , S. Lemieux , O. V. Tikhonova , M. V. Chekhova , G. Leuchs

The Wigner crystal of composite fermions is a strongly correlated state of complex emergent particles, and therefore its unambiguous detection would be of significant importance. Recent observation of optical resonances in the vicinity of…

Strongly Correlated Electrons · Physics 2013-02-13 Alex Archer , Jainendra K. Jain

We propose a scheme to generate bipartite and tripartite entanglements of three magnon modes in a three-cavity system using a nonlinear optical parametric amplifier (OPA). The three magnon modes in three YIG spheres are respectively placed…

Quantum Physics · Physics 2025-06-17 Ying Zhou , Guo-Qiang Zhang

Nonreciprocal physics is attracting significant interest in quantum information processing. In this work, we propose a scheme to investigate the nonreciprocity of bi- and tripartite entanglement and generate squeezed states in a…

Quantum Physics · Physics 2025-10-14 Hamza Harraf , Noura Chabar , Mohamed Amazioug , Rachid Ahl Laamara , Mojtaba Mazaheri

We experimentally investigate a mechanical squeezed state realized in a parametrically-modulated membrane resonator embedded in an optical cavity. We demonstrate that a quantum characteristic of the squeezed dynamics can be revealed and…

Quantum Physics · Physics 2020-11-11 P. Vezio , A. Chowdhury , M. Bonaldi , A. Borrielli , F. Marino , B. Morana , G. A. Prodi , P. M. Sarro , E. Serra , F. Marin