83 citations · 395 across the 22 of their papers we have counts for
9 papers · 1 filter
Inferring the smoothness of the autocorrelation function from that of the initial state
K. L. Yang, J. M. Zhang
We point out that by the ``smoothness means fast decay'' principle in Fourier analysis, it is possible to infer the smoothness (or nonsmoothness) of the autocorrelation function fr…
Witnessing a Poincaré recurrence with Mathematica
J. M. Zhang, Y. Liu
The often elusive Poincaré recurrence can be witnessed in a completely separable system. For such systems, the problem of recurrence reduces to the classic mathematical problem of…
Fermi's golden rule: its derivation and breakdown by an ideal model
J. M. Zhang, Y. Liu
Fermi's golden rule is of great importance in quantum dynamics. However, in many textbooks on quantum mechanics, its contents and limitations are obscured by the approximations and…
Concise configuration interaction expansions for three fermions in six orbitals
Alex D. Gottlieb, Norbert J. Mauser, J. M. Zhang
The Hilbert space for three fermions in six orbitals, lately dubbed the "Borland-Dennis setting," is a proving ground for insights into electronic structure. Borland and Dennis dis…
Cusps in the quench dynamics of a Bloch state
J. M. Zhang, Hua-Tong Yang
We report some nonsmooth dynamics of a Bloch state in a one-dimensional tight binding model with the periodic boundary condition. After a sudden change of the potential of an arbit…
Optimal Slater-determinant approximation of fermionic wave functions
J. M. Zhang, Norbert J. Mauser
We study the optimal Slater-determinant approximation of an -fermion wave function analytically. That is, we seek the Slater-determinant (constructed out of orthonormal sing…
Integrability and weak diffraction in a two-particle Bose-Hubbard model
Daniel Braak, J. M. Zhang, Marcus Kollar
A recently introduced one-dimensional two-particle Bose-Hubbard model with a single impurity is studied on finite lattices. The model possesses a discrete reflection symmetry and w…
Optimal multi-configuration approximation of an N-fermion wave function
J. M. Zhang, Marcus Kollar
We propose a simple iterative algorithm to construct the optimal multi-configuration approximation of an -fermion wave function. That is, single-particle orbitals are…
Directed coherent transport due to Bloch oscillation in two dimensions
J. M. Zhang, W. M. Liu
We point out that in higher dimensions, in contrast to the one dimensional case considered usually, Bloch oscillation driven by a static force can induce transport of the wave pack…