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In this review, we compare different descriptions of photon-number statistics in harmonic generation processes within quantum, classical and semiclassical approaches. First, we study the exact quantum evolution of the harmonic generation by…

Quantum Physics · Physics 2007-05-23 Jiri Bajer , Adam Miranowicz

We study second harmonic generation in a negative index material cavity. The transmission spectrum shows a gap between the electric and magnetic plasma frequencies, so that localized and anti-localized states are allowed at the band edges.…

In cavity optomechanics, single photon detection of Raman scattered photons can be a useful tool for observing nonclassical features of both radiation and motion. While this tool has been employed in experiments with pulsed laser driving of…

Quantum Physics · Physics 2021-12-14 K. Borkje , F. Massel , J. G. E. Harris

We consider the uncertainty bound on the sum of variances of two incompatible observables in order to derive a corresponding steering inequality. Our steering criterion when applied to discrete variables yields the optimum steering range…

Quantum Physics · Physics 2017-11-21 Ananda G. Maity , Shounak Datta , A. S. Majumdar

Steering is the entanglement-based quantum effect that embodies the "spooky action at a distance" disliked by Einstein and scrutinized by Einstein, Podolsky, and Rosen. Here we provide a necessary and sufficient characterization of…

Quantum Physics · Physics 2015-03-05 Marco Piani , John Watrous

This work presents a scheme for engineering quantum entanglement and Einstein-Podolsky-Rosen (EPR) steering with Gaussian measurements based on the quantum Hopfield model that incorporates a common thermal reservoir. We begin by examining…

Quantum Physics · Physics 2025-11-13 Yu-qiang Liu , Shan Sun , Yi-jia Yang , Zheng Liu , Xingdong Zhao , Zunlue Zhu , Wuming Liu , Chang-shui Yu

Quantum fluctuation and quantum entanglement of the pump field reflected from an optical cavity for type II second harmonic generation are theoretically analyzed. The correlation spectra between the quadratures of the reflected subharmonic…

Quantum Physics · Physics 2007-05-23 Zehui Zhai , Yongming Li , Jiangrui Gao

Quantum steering is an important correlation in quantum information theory. A recent work [Nat. Commun. 12, 2410 (2021)] showed that quantum steering is also useful for quantum metrology. Here, we extend the exploration of steering-enhanced…

Quantum Physics · Physics 2023-02-28 Kuan-Yi Lee , Jhen-Dong Lin , Adam Miranowicz , Franco Nori , Huan-Yu Ku , Yueh-Nan Chen

Quantum coherence between energy eigenstates of harmonic oscillators is essential for quantum physics. Even the most elementary binary superpositions of the ground and the higher eigenstate are highly required for quantum sensing,…

Quantum Physics · Physics 2024-12-13 A. Kovalenko , L. Lachman , T. Pham , K. Singh , O. Číp , L. Slodička , R. Filip

We study quantum statistical inference tasks of hypothesis testing and their canonical variations, in order to review relations between their corresponding figures of merit---measures of statistical distance---and demonstrate the crucial…

Quantum Physics · Physics 2020-09-25 Marcin Jarzyna , Jan Kolodynski

Quantum circuits consisting of random unitary gates and subject to local measurements have been shown to undergo a phase transition, tuned by the rate of measurement, from a state with volume-law entanglement to an area-law state. From a…

Statistical Mechanics · Physics 2021-10-26 Yimu Bao , Soonwon Choi , Ehud Altman

We discuss the correspondence between Gaussian process regression and Geometric Harmonics, two similar kernel-based methods that are typically used in different contexts. Research communities surrounding the two concepts often pursue…

Machine Learning · Statistics 2021-10-07 Felix Dietrich , Juan M. Bello-Rivas , Ioannis G. Kevrekidis

Preparation of nonclassical light with special quantum properties is essential for quantum technologies. High-harmonic generation (HHG) is a process which not only enables the creation of attosecond pulses but also has the potential to…

Quantum Physics · Physics 2026-03-03 Ákos Gombkötő , Péter Ádám , David Theidel , Tamás Kiss

We examine the use of optomechanically-generated squeezing to obtain a sensitivity enhancement for interferometers in the gravitational-wave band. The intrinsic dispersion characteristics of optomechanical squeezing around the mechanical…

Inhomogeneous polymers play an important role in various cellular processes, both in nature and in biotechnological applications. At finite temperatures, inhomogeneous polymers exhibit non-trivial thermal fluctuations. In a broader context,…

Statistical Mechanics · Physics 2017-02-02 Yohai Bar-Sinai , Eran Bouchbinder

Quantum harmonic oscillators are central to many modern quantum technologies. We introduce a method to determine the frequency noise spectrum of oscillator modes through coupling them to a qubit with continuously driven…

This paper studies non-asymptotic model selection for the general case of arbitrary design matrices and arbitrary nonzero entries of the signal. In this regard, it generalizes the notion of incoherence in the existing literature on model…

Statistics Theory · Mathematics 2018-03-06 Waheed U. Bajwa , Robert Calderbank , Sina Jafarpour

We propose and analyse a nonlinear optical apparatus in which the direction of asymmetric steering is controllable within the apparatus, rather than by adding noise to measurements. Using a nondegenerate parametric oscillator with an…

Quantum Physics · Physics 2017-10-25 M. K. Olsen

Spectral statistics and correlations are the usual way to study the presence or absence of quantum chaos in quantum systems. We present our investigation on the study of the fluctuation average and variance of certain correlation functions…

Quantum Physics · Physics 2025-02-11 Tanay Pathak

Time-averaged two-point currents are derived and shown to be spatially invariant within domains of local translation or inversion symmetry for arbitrary time-periodic quantum systems in one dimension. These currents are shown to provide a…

Quantum Physics · Physics 2016-05-25 Thomas Wulf , Christian V. Morfonios , Fotis K. Diakonos , Peter Schmelcher