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We unify Brownian motion and quantum mechanics in a single mathematical framework. In particular, we show that non-relativistic quantum mechanics of a single spinless particle on a flat space can be described by a Wiener process that is…

Quantum Physics · Physics 2023-06-06 Folkert Kuipers

We present approximate analytical method of analysis of stationary states of nonlinear quantum systems with the noise. As an example we consider quantum nonlinear oscillator excited by fluctuating force and found parameter regions with more…

Optics · Physics 2015-01-06 Igor Protsenko , Evgenii Protsenko , Alexander Uskov

We investigate quantum-squeezing-enhanced weak-force sensing via a nonlinear optomechanical resonator containing a movable mechanical mirror and an optical parametric amplifier (OPA). Herein, we determined that tuning the OPA parameters can…

Quantum Physics · Physics 2019-09-02 Wen Zhao , Sheng-Dian Zhang , Adam Miranowicz , Hui Jing

We demonstrate the generation of a strong mechanical squeezing in a dissipative optomechanical system by introducing a periodic modulation in the amplitude of a single-tone laser driving the system. The mechanical oscillator is…

Quantum Physics · Physics 2023-05-04 Priyankar Banerjee , Sampreet Kalita , Amarendra K. Sarma

Quantum sensing using non-linear interferometers offers the possibility of bicolour imaging, using light that never interacted with the object of interest, and provides a way to achieve phase supersensitivity, i.e. a Heisenberg-type scaling…

Quantum Physics · Physics 2024-04-22 Simon Schaffrath , Daniel Derr , Markus Gräfe , Enno Giese

We review the emerging field of optomechanics, where the radiation pressure of light circulating inside an optical cavity is employed to cool, manipulate and read out micro- and nanomechanical oscillators. These systems display a rich…

Mesoscale and Nanoscale Physics · Physics 2009-05-06 Florian Marquardt , S. M. Girvin

Second-order nonlinear optical processes are used to convert light from one wavelength to another and to generate quantum entanglement. Creating chip-scale devices to more efficiently realize and control these interactions greatly increases…

Nonlinear optics underpins quantum photonics by enabling the generation and control of quantum states of light. We present new applications of optical resonators as mode selectors in nonlinear processes. First, we show that cavity-enhanced…

Quantum Physics · Physics 2025-10-02 Xin Chen

We review the physics of hybrid optomechanical systems consisting of a mechanical oscillator interacting with both a radiation mode and an additional matter-like system. We concentrate on the cases embodied by either a single or a…

In this work, we propose an experimentally feasible nonlinear optical realization of a type of non-integrable phase found in interacting quantum systems at quantum phase transitions. We show that an exotic term in the dynamical equation…

Quantum Physics · Physics 2025-08-20 Chon-Fai Kam

A widely-known paradigm in optomechanical systems involves coupling the square of the position of a mechanical oscillator to an electromagnetic field. We discuss how, in the so-called resolved sideband regime, this system allows to simulate…

Quantum Physics · Physics 2018-06-27 David Edward Bruschi , André Xuereb

Quantum measurements of mechanical systems can produce optical squeezing via ponderomotive forces. Its observation requires high environmental isolation and efficient detection, typically achieved by using optical cavities and cryogenic…

Nonlinear spectroscopy is a cornerstone of quantum science, providing unique access to multi-point correlations, quantum coherence, and couplings that are invisible to linear methods. However, classical simulation of these phenomena is…

Quantum Physics · Physics 2026-04-20 Long Xiong , Xiaoyang Wang , Xiaoxia Cai , Xiao Yuan

Manifesting across all time, mass and length scales, nonlinearities lie at the core of numerous physical phenomena. Next-generation quantum applications, such as quantum sensing, require the combination of nonlinearity with non-classical…

Quantum Physics · Physics 2026-03-12 Shivangi Dhiman , K. Rubenbauer , T. Luschmann , A. Marx , A. Metelmann , H. Huebl

We implement the squeezing operation as a genuine quantum gate, deterministically and reversibly acting `online' upon an input state no longer restricted to the set of Gaussian states. More specifically, by applying an efficient and robust…

We have observed nonlinear transduction of the thermomechanical motion of a nanomechanical resonator when detected as laser transmission through a sideband unresolved optomechanical cavity. Nonlinear detection mechanisms are of considerable…

Mesoscale and Nanoscale Physics · Physics 2014-12-25 C. Doolin , B. D. Hauer , P. H. Kim , A. J. R. MacDonald , H. Ramp , J. P. Davis

Interaction with a thermal environment decoheres the quantum state of a mechanical oscillator. When the interaction is sufficiently strong, such that more than one thermal phonon is introduced within a period of oscillation, quantum…

Quantum Physics · Physics 2018-04-09 Kiran Khosla , George A. Brawley , Michael R. Vanner , Warwick P. Bowen

We describe a scheme for producing an optical nonlinearity using an interaction with one or more ancilla two-level atomic systems. The nonlinearity, which can be implemented using high efficiency fluorescence shelving measurements, together…

Quantum Physics · Physics 2007-05-23 Alexei Gilchrist , G. J. Milburn , W. J. Munro , Kae Nemoto

Enforcing a non-classical behavior in mesoscopic systems is important for the study of the boundaries between quantum and classical world. Recent experiments have shown that optomechanical devices are promising candidates to pursue such…

Quantum Physics · Physics 2015-06-17 G. Vacanti , M. Paternostro , G. M. Palma , M. S. Kim , V. Vedral

Engineering quantum states of free-propagating light is of paramount importance for quantum technologies. Coherent states ubiquitous in classical and quantum communications, squeezed states used in quantum sensing, and even highly-entangled…

Quantum Physics · Physics 2023-12-11 Valentin Magro , Julien Vaneecloo , Sébastien Garcia , Alexei Ourjoumtsev
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