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Related papers: Quantum backreaction effect in optical solitons

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We introduce two approaches to modeling the quantum dynamics of optical $\chi^{(3)}$ solitons. Taking an open-system viewpoint, we project the underlying quantum field into system (soliton) and residual reservoir components. The reservoir…

Quantum Physics · Physics 2026-05-25 Chris Gustin , Ryotatsu Yanagimoto , Edwin Ng , Hideo Mabuchi

We identify significant quantum many-body effects, robust to position fluctuations and strong dipole--dipole interactions, in the forward light scattering from planar arrays and uniform-density disks of cold atoms, by comparing stochastic…

Quantum Physics · Physics 2020-08-18 Robert J. Bettles , Mark D. Lee , Simon A. Gardiner , Janne Ruostekoski

The response of a passive mode-locking mechanism, where gain and spectral filtering are saturated with the energy and loss saturated with the power, is examined under the presence of higher order effects. These include third order…

Optics · Physics 2015-06-22 Theodoros P. Horikis , Mark J. Ablowitz

We analyze theoretically the Schrodinger-Poisson equation in two transverse dimensions in the presence of a Kerr term. The model describes the nonlinear propagation of optical beams in thermooptical media and can be regarded as an analogue…

The macroscopic behavior of many physical systems can be approximately described by classical quantities. However, quantum theory demands the existence of omnipresent quantum fluctuations on top of this classical background -- which, albeit…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ralf Schützhold

We study transmission stabilization of optical solitons against emission of radiation in nonlinear optical waveguides in the presence of weak linear gain-loss, cubic loss, and the collisional Raman frequency shift. We first show how the…

Pattern Formation and Solitons · Physics 2025-07-22 Avner Peleg , Debananda Chakraborty

The basic features of nucleus-acoustic (NA) envelope bright and dark solitons, which exist in degenerate quantum plasmas, have been theoretically investigated by deriving the nonlinear Schr\"odinger (NLS) equation. The reductive…

Plasma Physics · Physics 2017-06-20 N. A. Chowdhury , M. M. Hasan , A. Mannan , A. A. Mamun

The article produces a brief review of some recent results which predict stable propagation of solitons and solitary vortices in models based on the nonlinear Schroedinger equation including fractional one- or two-dimensional diffraction…

Pattern Formation and Solitons · Physics 2021-08-27 Boris A. Malomed

We have numerically solved the Heisenberg-Langevin equations describing the propagation of quantized fields through an optically thick sample of atoms. Two orthogonal polarization components are considered for the field and the complete…

Quantum Physics · Physics 2009-11-13 A. Lezama , P. Valente , H. Failache , M. Martinelli , P. Nussenzveig

Spatial solitons can exist in various kinds of nonlinear optical resonators with and without amplification. In the past years different types of these localized structures such as vortices, bright, dark solitons and phase solitons have been…

Pattern Formation and Solitons · Physics 2009-11-07 V. B. Taranenko , G. Slekys , C. O. Weiss

A double pair plasma system containing cold inertial positive and negative ions, and inertialess super-thermal electrons and positrons is considered. The standard nonlinear Schr\"{o}dinger equation is derived by using the reductive…

Plasma Physics · Physics 2019-04-16 N. K. Tamanna , N. A. Chowdhury , A. Mannan , A. A. Mamun

We show that surface solitons in the one-dimensional nonlinear Schr\"odinger equation with truncated complex periodic potential can be stabilized by linear homogeneous losses, which are necessary to balance gain in the near-surface channel…

Optics · Physics 2016-04-13 Yingji He , Dumitru Mihalache , Xing Zhu , Lina Guo , Yaroslav V. Kartashov

Two aspects of bright matter-wave solitons in weak external potentials are discussed. First, we briefly review recent results on the Anderson localization of an entire soliton in disordered potentials [Sacha et al. PRL 103, 210402 (2009)],…

Quantum Gases · Physics 2011-03-01 Cord A. Mueller

A theory for stabilization of quantum resonances by a mechanism similar to one leading to classical resonances in nonlinear systems is presented. It explains recent surprising experimental results, obtained for cold Cesium atoms when driven…

Chaotic Dynamics · Physics 2009-11-07 Shmuel Fishman , Italo Guarneri , Laura Rebuzzini

Nonlinear interactions in focusing media between traveling solitons and the dispersive shocks produced by an initial discontinuity are studied using the one-dimensional nonlinear Schrodinger equation. It is shown that, when solitons travel…

Chaotic Dynamics · Physics 2019-03-27 Gino Biondini , Jonathan Lottes

Motivated by various systems in which quantum effects occur in classical backgrounds, we consider the dynamics of a classical particle as described by a coherent state that is coupled to a quantum bath via bi-quadratic interactions. We…

High Energy Physics - Theory · Physics 2018-02-06 Tanmay Vachaspati

We compute second-order quantum corrections, as quantum dispersions and correlations, to a cosmological model coupling a single scalar perturbation mode to a bouncing background within Loop Quantum Cosmology (LQC). Using an effective…

General Relativity and Quantum Cosmology · Physics 2026-05-19 Héctor Hernández Hernández , Hugo Morales Técotl , Gustavo Sánchez Herrera

We develop a general approach to describe the scattering of quantum light by a lossy macroscopic object placed in vacuum with no restrictions on both its dispersive optical response and its spatially inhomogeneous composition. Our analysis…

Quantum Physics · Physics 2024-11-28 Alessandro Ciattoni

We study a soliton in an optical lattice holding bosonic atoms quantum mechanically using both an exact numerical solution and quantum Monte Carlo simulations. The computation of the state is combined with an explicit account of the…

Quantum Physics · Physics 2009-11-13 Juha Javanainen , Uttam Shrestha

Quantum fluctuations in spacetime can, in some cases, lead to distortion in astronomical images of faraway objects. In particular, a stochastic model of quantum gravity predicts an accumulated fluctuation in the path length $\Delta L$ with…

General Relativity and Quantum Cosmology · Physics 2024-05-24 Vincent S. H. Lee , Kathryn M. Zurek , Yanbei Chen