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Quantum-Limited Generalized Measurement for Tunnel-Coupled Condensates.
Phys Rev Lett
December 2024
Vienna Center for Quantum Science and Technology, Atominstitut, TU Wien, 1020 Vienna, Austria.
Article Synopsis
- Efficient readout of information is crucial for quantum simulation, yet standard measurements typically focus on just one observable at a time.
- This research introduces an atomic beam splitter for controlled outcoupling, allowing simultaneous measurement of both number imbalance and relative phase in two coupled 1D Bose gases, acting as a simulator for sine-Gordon field theory.
- The method demonstrates quantum limitations through number squeezing, tracks Josephson oscillation dynamics, and permits atom extraction while preserving coherent dynamics, paving the way for studying quantum properties and multitime correlation functions in larger systems.
Analysis of dynamic levitation process of the particle chain in a nonlinear standing wave field.
Sci Rep
October 2024
School of Mechanical Engineering, Hangzhou Dianzi University, Hangzhou, 310018, China.
This research delves into the dynamic behavior of acoustic levitation of the particle chain in a nonlinear standing wave field. Experimental acoustic levitation control tests reveal bifurcation and jump phenomena during dynamic adjustments to resonant cavity height. Employing the 10-particle chain experiments and the COMSOL simulation models, the Sine-Gordon 2D vibration model is established to study the dynamic deformation process of the particle chain.
View Article and Find Full Text PDFExtraction of new solitary wave solutions in a generalized nonlinear Schrödinger equation comprising weak nonlocality.
PLoS One
May 2024
Department of Mathematics, College of Science, King Khalid University, Abha, Saudi Arabia.
This article delves into examining exact soliton solutions within the context of the generalized nonlinear Schrödinger equation. It covers higher-order dispersion with higher order nonlinearity and a parameter associated with weak nonlocality. To tackle this equation, two reputable methods are harnessed: the sine-Gordon expansion method and the [Formula: see text]-expansion method.
View Article and Find Full Text PDFRational Sine-Gordon expansion method to analyze the dynamical behavior of the time-fractional phi-four and (2 + 1) dimensional CBS equations.
Sci Rep
April 2024
College of Water Conservancy and Hydropower Engineering, Hohai University, Nanjing, 210098, People's Republic of China.
This study uses the rational Sine-Gordon expansion (RSGE) method to investigate the dynamical behavior of traveling wave solutions of the water wave phenomena for the time-fractional phi-four equation and the (2 + 1) dimensional Calogero-Bogoyavlanskil schilf (CBS) equation based on the conformable derivative. The technique uses the sine-Gordon equation as an auxiliary equation to generalize the well-known sine-Gordon expansion. It adopts a more broad strategy, a rational function rather than a polynomial one, of the solutions of the auxiliary equation, in contrast to the traditional sine-Gordon expansion technique.
View Article and Find Full Text PDFDynamical behavior of water wave phenomena for the 3D fractional WBBM equations using rational sine-Gordon expansion method.
Sci Rep
March 2024
College of Water Conservancy and Hydropower, Hohai University, Nanjing, 210098, People's Republic of China.
To examine the dynamical behavior of travelling wave solutions of the water wave phenomenon for the family of 3D fractional Wazwaz-Benjamin-Bona-Mahony (WBBM) equations, this work employs the rational Sine-Gordon expansion (RSGE) approach based on the conformable fractional derivative. The method generalizes the well-known sine-Gordon expansion using the sine-Gordon equation as an auxiliary equation. In contrast to the conventional sine-Gordon expansion method, it takes a more general approach, a rational function rather than a polynomial one of the solutions of the auxiliary equation.
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