2 citations · 2 across the 9 of their papers we have counts for
9 papers
Quantum fields from real-time ensemble dynamics
Yong Zhang
Relativistic quantum field theory (QFT) is commonly formulated in terms of operators, asymptotic states, and covariant amplitudes, a perspective that tends to obscure the real-time…
Algebraic and Topological Study of Bell States and Quantum Teleportation
Yong Zhang, Wei Zeng, Ming Lian
Bell states and quantum teleportation play crucial roles in quantum information and computation. However, a comprehensive theoretical study of both topics remains to be carried out…
A complex-linear reformulation of Hamilton-Jacobi theory and emergent quantum structure
Yong Zhang
Classical mechanics admits multiple equivalent formulations, from Newton's equations to the variational Lagrange-Hamilton framework and the scalar Hamilton-Jacobi (HJ) theory. In t…
Feeding a Kerr black hole with quantized vortices
Shilong Jin, Xiaofei Zhao, Yong Zhang +1
By solving a nonlinear Klein-Gordon equation in Kerr geometry, we uncover new phenomena and key characteristics of quantized vortices in quantum fluids near a Kerr black hole. The…
Computing the Bogoliubov-de Gennes excitations of two-component Bose-Einstein condensates
Manting Xie, Yong Zhang
In this paper, we present an efficient and spectrally accurate numerical method to compute elementary/collective excitations in two-component Bose-Einstein condensates (BEC), aroun…
A Bi-Orthogonal Structure-Preserving eigensolver for large-scale linear response eigenvalue problem
Yu Li, Zijing Wang, Yong Zhang
The linear response eigenvalue problem, which arises from many scientific and engineering fields, is quite challenging numerically for large-scale sparse/dense system, especially w…
An efficient Fourier spectral algorithm for the Bogoliubov-de Gennes excitation eigenvalue problem
Yu Li, Zhixuan Li, Manting Xie +1
In this paper, we propose an efficient Fourier spectral algorithm for an eigenvalue problem, that is, the Bogoliubov-de Gennes (BdG) equation arsing from spin-1 Bose-Einstein conde…
Analytic 3D vector non-uniform Fourier crystal optics in arbitrary dielectric
Chenzhu Xie, Yong Zhang
To find a suitable framework for nonlinear crystal optics(NCO), we have revisited linear crystal optics(LCO). At the methodological level, three widely used plane wave bases are co…
Solving highly-oscillatory NLS with SAM: numerical efficiency and geometric properties
Philippe Chartier, Norbert J. Mauser, Florian Méhats +1
In this paper, we present the Stroboscopic Averaging Method (SAM), recently introduced in [7,8,10,12], which aims at numerically solving highly-oscillatory differential equations.…