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In this paper, we investigate the parameter estimation for threshold Ornstein$\mathit{-}$Uhlenbeck processes. Least squares method is used to obtain continuous-type and discrete-type estimators for the drift parameters based on continuous…

Statistics Theory · Mathematics 2024-03-28 Yuecai Han , Dingwen Zhang

We show that a new type of photon detector, sensitive to the gradients of electromagnetic fields, should be a useful tool to characterize the quantum properties of spatially-dependent optical fields. As a simple detector of such a kind, we…

Quantum Physics · Physics 2008-02-06 V. V. Klimov , D. Bloch , M. Ducloy , J. R. Rios Leite

This paper is devoted the the study of the mean field limit for many-particle systems undergoing jump, drift or diffusion processes, as well as combinations of them. The main results are quantitative estimates on the decay of fluctuations…

Probability · Mathematics 2014-01-15 Stéphane Mischler , Clément Mouhot , Bernt Wennberg

We discuss a balanced homodyne detection scheme with imperfect detectors in the framework of the operational approach to quantum measurement. We show that a realistic homodyne measurement is described by a family of operational observables…

atom-ph · Physics 2009-10-28 Konrad Banaszek , Krzysztof Wodkiewicz

We put forward a model that describes a decaying and evanescent point source of non-interacting quantum waves in 1D. This point-source assumption allows for a simple description that captures the essential aspects of the dynamics of a wave…

Quantum Physics · Physics 2022-08-31 F. Delgado , J. G. Muga

We study the mechanisms responsible for quantum diffusion in the quasiperiodic kicked rotor. We report experimental measurements of the diffusion constant on the atomic version of the system and develop a theoretical approach (based on the…

Quantum Physics · Physics 2007-05-23 Hans Lignier , Jean Claude Garreau , Pascal Szriftgiser , Dominique Delande

We study the violation of the adiabaticity of the electron dynamics in a slowly varying magnetic field. We formulate and solve exactly a non-adiabatic scattering problem. In particular, we consider scattering on a magnetic field…

Condensed Matter · Physics 2009-10-31 F. Evers , A. D. Mirlin , D. G. Polyakov , P. Woelfle

We study the problem of estimating the phase shift due to the general relativistic time dilation in the interference of photons using a non-linear Mach-Zender interferometer setup. By introducing two non-linear Kerr materials, one in the…

Quantum Physics · Physics 2017-10-11 Sebastian P. Kish , Timothy C. Ralph

Given n qubits prepared according to the same unknown density operator, we propose a nondestructive measuring method which approximately yields the eigenstates. It is shown that, for any plane which passes through the center point of the…

Quantum Physics · Physics 2014-10-22 Jingliang Gao , Feng Cai

Drift-diffusion analysis has been introduced in physics as a method to study turbulent flows. In the current study, it is proposed to use the method to identify underlying dynamical models of particulate matter smog, ozone and nitrogen…

Atmospheric and Oceanic Physics · Physics 2019-07-03 T. Varapongpisan , L. Ingsrisawang , T. D. Frank

Drift in machine learning refers to the phenomenon where the statistical properties of data or context, in which the model operates, change over time leading to a decrease in its performance. Therefore, maintaining a constant monitoring…

Computation and Language · Computer Science 2023-09-08 Saeed Khaki , Akhouri Abhinav Aditya , Zohar Karnin , Lan Ma , Olivia Pan , Samarth Marudheri Chandrashekar

Streaming anomaly detection refers to the problem of detecting anomalous data samples in streams of data. This problem poses challenges that classical and deep anomaly detection methods are not designed to cope with, such as conceptual…

Machine Learning · Computer Science 2022-10-12 Joseph Gallego-Mejia , Oscar Bustos-Brinez , Fabio Gonzalez

We analyze the dispersive readout of superconducting charge and flux qubits as a quantum measurement process. The measurement oscillator frequency is considered much lower than the qubit frequency. This regime is interesting because large…

Superconductivity · Physics 2015-06-25 L. Tornberg , G. Johansson

We propose a new method for determining the stochastic or ordered nature of trajectories in non-integrable Hamiltonian dynamical systems. The method consists of constructing a time-series from the divergence of nearby trajectories and then…

Chaotic Dynamics · Physics 2007-05-23 Ch. L. Vozikis , H. Varvoglis , K. Tsiganis

The interaction of a particle with vacuum fluctuations--which theoretically exist even in the complete absence of matter--can lead to observable irreversible decoherence if it were possible to switch on and off the particle charge suddenly.…

Quantum Physics · Physics 2025-07-10 Anirudh Gundhi , Hendrik Ulbricht

We analyze the statistical mechanical properties of n-detectors in arbitrary states of motion interacting with each other via a quantum field. We use the open system concept and the influence functional method to calculate the influence of…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Alpan Raval , B. L. Hu , James Anglin

We consider the minor process of (Hermitian) matrix diffusions with constant diagonal drifts. At any given time, this process is determinantal and we provide an explicit expression for its correlation kernel. This is a measure on the…

Mathematical Physics · Physics 2014-04-24 Patrik L. Ferrari , René Frings

We investigate a recently proposed method for measuring the Hubble constant from gravitational wave detections of binary black hole coalescences without electromagnetic counterparts. In the absence of a direct redshift measurement, the…

General Relativity and Quantum Cosmology · Physics 2022-01-26 Hebertt Leandro , Valerio Marra , Riccardo Sturani

We propose a new detection method for gravitational wave bursts. It analyzes observed data with the Hilbert-Huang transform, which is an approach of time-frequency analysis constructed with the aim of manipulating non-linear and…

Instrumentation and Methods for Astrophysics · Physics 2016-06-14 Kazuki Sakai , Ken-ichi Oohara , Masato Kaneyama , Hirotaka Takahashi

In this paper, we develop asymptotic theory for the mixing detection methodology proposed by M. Magdziarz and A. Weron [Physical Review E, 84:051138 (2011)]. The assumptions cover a broad family of Gaussian stochastic processes including…

Probability · Mathematics 2021-06-16 Kui Zhang , Gustavo Didier