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Quantum Zakharov equations are obtained to describe the nonlinear interaction between quantum Langmuir waves and quantum ion-acoustic waves. These quantum Zakharov equations are applied to two model cases, namely the four-wave interaction…

等离子体物理 · 物理学 2009-11-10 L. G. Garcia , F. Haas , L. P. L. de Oliveira , J. Goedert

A formalism for treating modulational interactions of electrostatic fields in collisionless quantum plasmas is developed, based on the kinetic Wigner-Poisson model of quantum plasma. This formalism can be used in a range of problems of…

等离子体物理 · 物理学 2015-06-15 Fatema Sayed , Sergey V. Vladimirov , Yuriy Tyshetskiy , Osamu Ishihara

It is shown that partial incoherence, in the form of stochastic phase noise, of a Langmuir wave in an unmagnetized plasma gives rise to a Landau-type damping. Starting from the Zakharov equations, which describe the nonlinear interaction…

混沌动力学 · 物理学 2009-11-07 R. Fedele , P. K. Shukla , M. Onorato , D. Anderson , M. Lisak

The quantum Zakharov system in three-spatial dimensions and an associated Lagrangian description, as well as its basic conservation laws are derived. In the adiabatic and semiclassical case, the quantum Zakharov system reduces to a quantum…

等离子体物理 · 物理学 2015-05-13 Fernando Haas , Padma Kant Shukla

The effects of quantum and thermal corrections on the dynamics of a damped nonlinearly kicked harmonic oscillator are studied. This is done via the Quantum Langevin Equation formalism working on a truncated moment expansion of the density…

量子物理 · 物理学 2007-05-23 M. Rodriguez-Achach , G. Perez , H. Cerdeira

The mechanism of the transition of a dynamical system from quantum to classical mechanics is one of the remaining challenges of quantum theory. Currently, it is considered to occur via decoherence caused by entanglement and/or stochastic…

量子物理 · 物理学 2015-06-16 John S. Briggs , James M. Feagin

A direct classical analog of quantum decoherence is introduced. Similarities and differences between decoherence dynamics examined quantum mechanically and classically are exposed via a second-order perturbative treatment and via a strong…

量子物理 · 物理学 2009-11-07 Jiangbin Gong , Paul Brumer

In this paper, we discuss the properties of one dimensional quantum Zakharov system which describes the nonlinear interaction between the quantum Langmuir and quantum ion-acoustic waves. The system with initial data $(E(0),n(0),\partial_t…

偏微分方程分析 · 数学 2017-05-09 Jin-Cheng Jiang , Chi-Kun Lin , Shuanglin Shao

In a previous paper a formalism to analyze the dynamical evolution of classical and quantum probability distributions in terms of their moments was presented. Here the application of this formalism to the system of a particle moving on a…

量子物理 · 物理学 2014-12-19 David Brizuela

Wave-wave interaction in plasmas is a topic of important research since the 16th century. The formation of Langmuir solitons through the coupling of high-frequency (hf) Langmuir and low-frequency (lf) ion-acoustic waves, is one of the most…

等离子体物理 · 物理学 2010-12-16 A. P. Misra , P. K. Shukla

The quantum Zakharov system is described in terms of a Lagrangian formalism. A time-dependent Gaussian trial function approach for the envelope electric field and the low-frequency part of the density fluctuation leads to a coupled,…

等离子体物理 · 物理学 2009-11-13 F. Haas

We study a quantum oscillator interacting and back-reacting on a classical oscillator. This can be done consistently provided the quantum system decoheres, while the backreaction has a stochastic component which causes the classical system…

量子物理 · 物理学 2025-04-24 Muhammad Sajjad , Andrea Russo , Maite Arcos , Andrzej Grudka , Jonathan Oppenheim

We study the classical and quantum perturbation theory for two non--resonant oscillators coupled by a nonlinear quartic interaction. In particular we analyze the question of quantum corrections to the torus quantization of the classical…

量子物理 · 物理学 2007-05-23 Luca Salasnich

Some of the most enduring questions in physics--including the quantum measurement problem and the quantization of gravity--involve the interaction of a quantum system with a classical environment. Two linearly coupled harmonic oscillators…

量子物理 · 物理学 2007-05-23 Rachael M. McDermott , Ian H. Redmount

The temporal dynamics of the quantum Zakharov equations (QZEs) in one spatial dimension, which describes the nonlinear interaction of quantum Langmuir waves (QLWs) and quantum ion-acoustic waves (QIAWs) is revisited by considering their…

等离子体物理 · 物理学 2010-03-18 A. P. Misra , S. Banerjee , F. Haas , P. K. Shukla , L. P. G. Assis

Building on a model recently proposed by F. Calogero, we postulate the existence of a coherent, long--range universal tremor affecting any stable and confined classical dynamical system. Deriving the characteristic fluctuative unit of…

量子物理 · 物理学 2015-06-26 Salvatore De Martino , Silvio De Siena , F. Illuminati

Answers to the question how a classical world emerges from underlying quantum physics are revisited, connected and extended as follows. First, three distinct concepts are compared: decoherence in open quantum systems, consistent/decoherent…

量子物理 · 物理学 2023-07-31 Philipp Strasberg

The non-Markovian decoherence of quantum and classical correlations is analytically obtained when two qubits are asymmetrically subjected to the bit flip channel and phase flip channel. For one class of initial mixed states, quantum…

量子物理 · 物理学 2012-08-09 Xiang Hao , Tao Pan , Jinqiao Sha

A direct classical analog of the quantum dynamics of intrinsic decoherence in Hamiltonian systems, characterized by the time dependence of the linear entropy of the reduced density operator, is introduced. The similarities and differences…

量子物理 · 物理学 2009-11-10 Jiangbin Gong , Paul Brumer

The physics of many closed, conservative systems can be described by both classical and quantum theories. The dynamics according to classical theory is symplectic and admits linear instabilities which would initially seem at odds with a…

量子物理 · 物理学 2024-01-08 Michael Q. May , Hong Qin
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