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The quantum dynamics of two weakly coupled nonlinear oscillators is analytically and numerically investigated in the context of nonlinear dissipation. The latter facilitates the creation and preservation of non-classical steady states.…

Quantum Physics · Physics 2013-08-09 Aurora Voje , Andreas Isacsson , Alexander Croy

We present a quantum algorithm for simulating the classical dynamics of $2^n$ coupled oscillators (e.g., $2^n$ masses coupled by springs). Our approach leverages a mapping between the Schr\"odinger equation and Newton's equation for…

Quantum Physics · Physics 2023-12-08 Ryan Babbush , Dominic W. Berry , Robin Kothari , Rolando D. Somma , Nathan Wiebe

The effects of photon bunching and antibunching correspond to the classical and quantum features of the electromagnetic field, respectively. No direct evidence suggests whether these effects can be potentially related to quantum…

Quantum Physics · Physics 2016-04-11 Yang Zhang , Jun Zhang , Chang-shui Yu

We report that upon excitation by a single pulse, the classical harmonic oscillator immersed in classical electromagnetic zero-point radiation, as described by random electrodynamics, exhibits a quantized excitation spectrum in agreement to…

Quantum Physics · Physics 2021-05-18 Wayne Cheng-Wei Huang , Herman Batelaan

We study the dynamics of quantum and classical correlations in a two-qutrit system coupled to independent reservoirs. In particular, we addressed the differences in the dynamics of Markovian and non-Markovian regimes and show that for…

Quantum Physics · Physics 2017-12-20 C. E. López , F. Lastra

The monogamy relations of entanglement are highly significant. However, they involve only amounts of entanglement shared by different subsystems. Results on monogamy relations between entanglement and other kinds of correlations, and…

We experimentally investigate the statistical properties of a classical analog of quantum entanglement considering two Brownian particles connected by an elastic force and maintained at different temperatures through separate heat…

Statistical Mechanics · Physics 2025-06-05 Lakshmanan Theerthagiri , Sergio Ciliberto

In this paper, I present a mapping between representation of some quantum phenomena in one dimension and behavior of a classical time-dependent harmonic oscillator. For the first time, it is demonstrated that quantum tunneling can be…

Quantum Physics · Physics 2011-05-24 Alexander Davydov

The dynamics of hybrid systems -- i.e. ones in which classical and quantum degrees of freedom co-exist and interact -- feature both diffusion in the classical sector and decoherence in the quantum state. In this article, we will consider…

Quantum Physics · Physics 2025-10-10 Emanuele Panella

Recently some authors have pointed out that there exist nonclassical correlations which are more general, and possibly more fundamental, than entanglement. For these general quantum correlations and their classical counterparts, under the…

Quantum Physics · Physics 2009-10-08 J. Maziero , L. C. Celeri , R. M. Serra , V. Vedral

The dynamics of a pair of coupled harmonic oscillators in separate or common thermal environments is studied, focusing on different indicators of quantumness, such as entanglement, twin oscillators correlations and quantum discord. We…

Quantum Physics · Physics 2011-12-13 Gian Luca Giorgi , Fernando Galve , Roberta Zambrini

A quantum mechanical version of a classical inverted pendulum is analyzed. The stabilization of the classical motion is reflected in the bounded evolution of the quantum mechanical operators in the Heisenberg picture. Interesting links with…

Quantum Physics · Physics 2016-09-08 P. Facchi , H. Nakazato , S. Pascazio , J. Perina , J. Rehacek

We consider the impact of stochastic perturbations on otherwise coherent oscillations of classical pulsators. The resulting dynamics are modelled by a driven damped harmonic oscillator subject to either an external or an internal forcing…

Solar and Stellar Astrophysics · Physics 2020-01-22 P. P. Avelino , M. S. Cunha , W. J. Chaplin

We describe an apparent puzzle in classical electrodynamics and its resolution. It is concerned with the Lorentz invariance of the classical analog of the number of photons.

Physics Education · Physics 2009-10-31 J. E. Avron , E. Berg , D. Goldsmith , A. Gordon

The equations that govern the temporal evolution of two photons in the Schr{\"o}dinger picture are derived, taking into account the effects of loss, group-velocity dispersion, temporal phase modulation, linear coupling among different…

Quantum Physics · Physics 2007-05-23 Mankei Tsang , Demetri Psaltis

Photon statistics is one of the key properties of the photon state for the study of quantum coherence and quantum information techniques. Here, we discuss the photon indistinguishability induced bunching effect which can significantly…

Quantum Physics · Physics 2017-07-31 Ao Shen , Bo Du , Ze-Hao Wang , Yang Dong , Xiang-Dong Chen , Guang-Can Guo , Fang-Wen Sun

We study the intrinsic decoherence of coupled harmonic oscillators. The Milburn master equation is solved exactly, and the dynamics of virtual ground state excitations are investigated. The interaction of quantum correlations and virtual…

Quantum Physics · Physics 2023-03-22 Radouan Hab-arrih , Ahmed Jellal , El Hassan El Kinani

It is well known that many operations in quantum information processing depend largely on a special kind of quantum correlation, that is, entanglement. However, there are also quantum tasks that display the quantum advantage without…

Quantum Physics · Physics 2015-05-14 Jin-Shi Xu , Xiao-Ye Xu , Chuan-Feng Li , Cheng-Jie Zhang , Xu-Bo Zou , Guang-Can Guo

This paper surveys the quantum entanglement of two coupled harmonic oscillators via angular momentum generating a magnetic coupling $\omega_{c}$. The corresponding Hamiltonian is diagonalized by using three canonical transformations and…

Quantum Physics · Physics 2021-08-10 Radouan Hab-arrih , Ahmed Jellal , Abdeldjalil Merdaci

We experimentally investigate quadrature correlations between pump, signal, and idler fields in an above-threshold optical parametric oscillator. We observe new quantum correlations among the pump and signal or idler beams, as well as among…

Quantum Physics · Physics 2009-11-13 K. N. Cassemiro , A. S. Villar , M. Martinelli , P. Nussenzveig