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This paper studies the properties of solutions for a double nonlinear time-dependent parabolic equation with variable density, not in divergence form with a source or absorption. The problem is formulated as a partial differential equation…

偏微分方程分析 · 数学 2025-07-03 Mersiad Aripov , Makhmud Bobokandov

Quantum optics dictates that amplification of a pure state by any linear deterministic amplifier always introduces noise in the signal and results in a mixed output state. However, it has recently been shown that noiseless amplification…

量子物理 · 物理学 2013-12-18 Mikko Partanen , Teppo Häyrynen , Jani Oksanen , Jukka Tulkki

We generalize the results on the asymptotic expansion from Gaussian Unitary Ensembles case to all Gaussian Ensembles. We derive differential equations on densities and their moment generating functions for all Gaussian Ensembles. Also, we…

概率论 · 数学 2018-01-09 Yaroslav Naprienko

We introduce a new analysis method to deal with stationary non-Gaussian noises in gravitational wave detectors in terms of the independent component analysis. First, we consider the simplest case where the detector outputs are linear…

广义相对论与量子宇宙学 · 物理学 2016-11-03 Soichiro Morisaki , Jun'ichi Yokoyama , Kazunari Eda , Yousuke Itoh

In recent years the paradigm based on entanglement as the unique measure of quantum correlations has been challenged by the rise of new correlation concepts, such as quantum discord, able to reveal quantum correlations that are present in…

量子物理 · 物理学 2013-05-30 Paolo Giorda , Michele Allegra , Matteo G. A. Paris

In a recent paper [I.I. Arkhipov, Phys. Rev. A 98, 021803 (2018)], it was shown that one can completely identify the nonclassicality of single- and two-mode Gaussian states by means of certain nonclassicality witnesses which are based on…

量子物理 · 物理学 2018-08-27 Ievgen I. Arkhipov

We address the decomposition of a multi-mode pure Gaussian state with respect to a bi-partite division of the modes. For any such division the state can always be expressed as a product state involving entangled two-mode squeezed states and…

量子物理 · 物理学 2007-05-23 Alonso Botero , Benni Reznik

Usual approach to investigate the statistical properties of deterministically thermostated systems is to analyze the regime of the system motion. In this work the cumulant analysis is used to study the properties of the stationary…

计算物理 · 物理学 2019-02-22 A. N. Artemov

Gaussian states are of increasing interest in the estimation of physical parameters because they are easy to prepare and manipulate in experiments. In this article, we derive formulae for the optimal estimation of parameters using two- and…

量子物理 · 物理学 2015-07-16 Dominik Šafránek , Antony R. Lee , Ivette Fuentes

We investigate nonlinear effects on the dynamics of entanglement and other quantum observables in a system of two harmonic modes coupled through angular momentum. The nonlinearity arises from a quartic anharmonic term in each mode. The…

量子物理 · 物理学 2020-10-13 N. Canosa , R. Rossignoli , Javier Garcia , Swapan Mandal , Kartick Chandra Saha

The observation of the non-local properties of multipartite entangled states is of great importance for quantum information protocols. Such properties, however, are fragile and may not be observed in the presence of decoherence exhibited by…

量子物理 · 物理学 2015-02-27 A. Sohbi , I. Zaquine , E. Diamanti , D. Markham

We propose novel coherent-state phase concentration by probabilistic measurement-induced ampli- fication. The amplification scheme uses novel architecture, thermal noise addition (instead of single photon addition) followed by feasible…

量子物理 · 物理学 2015-05-13 Petr Marek , Radim Filip

We investigate the asymptotic behavior of a perturbation around a spatially non homogeneous stable stationary state of a one-dimensional Vlasov equation. Under general hypotheses, after transient exponential Landau damping, a perturbation…

数学物理 · 物理学 2015-05-27 Julien Barré , Alain Olivetti , Yoshiyuki Y. Yamaguchi

We investigate the dynamics of bosonic atoms in elongated Josephson junctions. We find that these systems are characterized by an intrinsic coupling between the Josephson mode of macroscopic quantum tunneling and the sound modes. This…

量子气体 · 物理学 2021-06-18 F. Binanti , K. Furutani , L. Salasnich

In this note we develop a prelimit analysis of performance measures for importance sampling schemes related to small noise diffusion processes. In importance sampling the performance of any change of measure is characterized by its second…

概率论 · 数学 2014-07-30 Konstantinos Spiliopoulos

Based on some recent progress on a relation between four dimensional super Yang-Mills gauge theory and quantum integrable system, we study the asymptotic spectrum of the quantum mechanical problems described by the Mathieu equation and the…

数学物理 · 物理学 2015-07-29 Wei He

In this article we review properties of Gaussian states and describe operations on them. The interaction of the electromagnetic field with an absorbing dielectric as a special type of environmental interaction will serve as the basis for…

量子物理 · 物理学 2007-05-23 Stefan Scheel , Dirk-Gunnar Welsch

We introduce a continuous one-dimensional non-Hermitian matrix gauge potential and study its effect on dynamics of a two-component field. The model is emulated by a system of evanescently coupled nonlinear waveguides with distributed gain…

光学 · 物理学 2021-11-25 Dmitry A. Zezyulin , Yaroslav V. Kartashov , Vladimir V. Konotop

The pair coherent states for a two-mode radiation field are known to belong to a family of states with non-Gaussian wave function. The nature of quantum entanglement between the two modes and some features of non-classicality are studied…

量子物理 · 物理学 2016-08-08 G. S. Agarwal , Asoka Biswas

We study the coupled even number of microcavities with the balanced gain and loss between any pair of their neighboring components. The effective non-Hermitian Hamiltonian for such structure has the cyclic permutation-time symmetry with…

量子物理 · 物理学 2015-03-26 Bing He , Liu Yang , Zhaoyang Zhang , Min Xiao