Hyper-entangling mesoscopic bound states

Sreedharan, Aparna; Kuriyattil, Sridevi; Wüster, Sebastian

doi:10.48550/arxiv.2202.06120

Cited by 3 publications

(14 citation statements)

References 92 publications

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“…In this section, we'll have a look at the various physical interpretations of the previously-proposed fixes. A number of different diagrams (1,2,3,4) have been used to illustrate the Eqs. ( 5), (30), (57), respectively.…”

Section: Results' Physical Interpretationsmentioning

confidence: 99%

“…Using these diagrams, you can see how mass location and time dependence affect the kinetic energy operator's nature and how it may be represented in polar, contour, two-dimensional, and threedimensional graphs. Illustrations (1,2,3,4) show brilliant, dark, and periodic soliton waves in various graph types.…”

Section: Results' Physical Interpretationsmentioning

confidence: 99%

“…Nonlinear partial differential equations (PDEs) are frequently utilized in a variety of sectors of study, most notably physics, to explain complicated processes [1,2,3]. As a result, tackling nonlinear issues is critical in nonlinear sciences [4,5].…”

Section: Introductionmentioning

confidence: 99%

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Novel constructed dark, bright, and rogue waves of three models of the well-known nonlinear Schrödinger equation

Khater

2022

Preprint

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In this study, three models of the nonlinear Schrödinger equation are investigated to see whether there is any novel traveling wave solutions’ structures. “The generalized Korteweg-de Vries, (2+1) dimensional Ablowitz-Kaup-Newell-Segur, and the Maccari models ”are among the systems examined. The kinetic energy operator is impacted by mass’s location and time dependence, and different representations of the kinetic energy operator in general. The innovative soliton wave solutions for the studied models are built using the generalized Riccati expansion technique. Some unique figures represent the numerical simulations of the derived solutions. Checking for accuracy and re-entering results into the models is part of validating and improving these approaches (Mathematica 13.1).

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Section: Results' Physical Interpretationsmentioning

confidence: 99%

Section: Results' Physical Interpretationsmentioning

confidence: 99%

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Novel constructed dark, bright, and rogue waves of three models of the well-known nonlinear Schrödinger equation

Khater

2022

Preprint

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“…As we shall show, in the emergent picture of a colliding pair of solitons these first loose mutual phase coherence in the ensemble, only to then strongly entangle (see also ref. [52]) through atom number changing collisions. Disappearing visibility of quantum interference in averages and ubiquitous entanglement generation between a quantum system and its environment are both crucial for a classical appearance arising from quantum mechanics [1].…”

mentioning

confidence: 99%

“…This is a distraction from our focus on the collision itself, hence we remove CM diffusion by postprocessing the noisy initial state as discussed in ref. [52]. Subsequent to this step, solitons collide at the target time t coll for all realisations of the noise ζ(x).…”

mentioning

confidence: 99%

Solitary waves explore the quantum-to-classical transition

Sreedharan¹,

Kuriyattil²,

Choudhury³

et al. 2022

EPL

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It is an open fundamental question how the classical appearance of our environment arises from the underlying quantum many-body theory. We propose that phenomena involved in the quantum-to-classical transition can be probed in collisions of bright solitary waves in Bose- Einstein condensates, where thousands of atoms form a large compound object at ultra cold temperatures. For the experimentally most relevant quasi-1D regime, where integrability is bro- ken through effective three-body interactions, we find that ensembles of solitary waves exhibit complex interplay between phase coherence and entanglement generation in beyond mean-field simulations using the truncated Wigner method: An initial state of two solitons with a well de- fined relative phase looses that phase coherence in the ensemble, with its single particle two-mode density matrix exhibiting similar dynamics as a decohering two mode superposition. This apparent decoherence is a prerequisite for the formation of entangled superpositions of different atom num- bers in a subsequent soliton collision. The necessity for the solitons to first decohere is explained based on the underlying phase-space of the quintic mean field equation. We show elsewhere that superpositions of different atom numbers later further evolve into spatially entangled solitons. Loss of ensemble phase coherence followed by system internal entanglement generation appear in an unusual order in this closed system, compared to a typical open quantum system.

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Embed-Solitons in the Context of Functions of Symmetric Hyperbolic Fibonacci

Youssif,

Helal,

Juma

et al. 2023

Symmetry

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In this article, we discuss the findings of new developments in a class of new triangular functions that blend the quantity functions of the traditional triangular. Considering the significant role played by the triangular functions in applied mathematics, physics, and engineering, it is conceivable to predict that the theory of new triangular functions will provide us with additional interpretations and discoveries in mathematics and physics. The solutions which consider variable separation based on arbitrary functions are constructed to the (3+1)-dimensional Burgers model by presenting the Fibonacci Riccati technique and the linearly independent variable separation approach. This technique’s fundamental concept is to describe the solution of the Burgers model as a polynomial in the Riccati Equation solution that satisfies the symmetrical hyperbolic and triangular Fibonacci functions. Depending on the choice of suitable functions for variable separation, an abundance of new localized solutions were obtained. Moreover, examples such as embedded solitons, rectangle-solitons, plateau-type ring solitons, taper-like solitons, and their interactions with each other, following the symmetrical hyperbolic and triangular Fibonacci functions, as well as the golden mean, could be explored.

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Hyper-entangling mesoscopic bound states

Cited by 3 publications

References 92 publications

Novel constructed dark, bright, and rogue waves of three models of the well-known nonlinear Schrödinger equation

Novel constructed dark, bright, and rogue waves of three models of the well-known nonlinear Schrödinger equation

Solitary waves explore the quantum-to-classical transition

Embed-Solitons in the Context of Functions of Symmetric Hyperbolic Fibonacci

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