317 citations · 2.7k across the 87 of their papers we have counts for
14 papers · 1 filter
Numerical accuracy of Bogomolny's semiclassical quantization scheme in quantum billiards
Bambi Hu, Baowen Li, Daniel C Rouben
We use the semiclassical quantization scheme of Bogomolny to calculate eigenvalues of the Lima\c con quantum billiard corresponding to a conformal map of the circle billiard. We us…
Quantum chaos of a kicked particle in a 1D infinite square potential well
Baowen Li, Jie Liu, Yan Gu +1
We study quantum chaos in a non-KAM system, i.e. a kicked particle in a one-dimensional infinite square potential well. Within the perturbative regime the classical phase space dis…
Phase slips and phase synchronization of coupled oscillators
Zhigang Zheng, Gang Hu, Bambi Hu
The behaviors of coupled oscillators, each of which has periodic motion with random natural frequency in the absence of coupling, are investigated. Some novel collective phenomena…
Critical Behavior of Period Doublings in Coupled Inverted Pendulums
Sang-Yoon Kim, Bambi Hu
We study the critical behaviors of period doublings in N (N=2,3,4,...) coupled inverted pendulums by varying the driving amplitude and the coupling strength . It is found th…
Universal statistics of wave functions in chaotic and disordered systems
Bambi Hu, Baowen Li, Weng-ge Wang
We study a new statistics of wave functions in several chaotic and disordered systems: the random matrix model, band random matrix model, the Lipkin model, chaotic quantum billiard…
Relevance of Chaos in Numerical Solutions of Quantum Billiards
Baowen Li, Marko Robnik, Bambi Hu
In this paper we have tested several general numerical methods in solving the quantum billiards, such as the boundary integral method (BIM) and the plane wave decomposition method…
The quantum Frenkel-Kontorova model: a squeezed state approach
Bambi Hu, Baowen Li, Wei-Min Zhang
The squeezed state is used to study the one-dimensional quantum mechanical Frenkel Kontorova model. A set of coupled equations for the particle's expectation value and the fluctuat…
Squeezed state dynamics of kicked quantum systems
Bambi Hu, Baowen Li, Jie Liu +1
We study kicked quantum systems by using the squeezed state approach. Taking the kicked quantum harmonic oscillator as an example, we demonstrate that chaos in an underlying classi…
Quantum fluctuations: Enhancement or suppression of chaos?
Bambi Hu, Baowen Li, Jie Liu +1
We have studied the effects of quantum fluctuations on dynamical behavior by using squeezed state approach. Our numerical results of the kicked harmonic oscillator demonstrate qual…
Energy transport and correlation between two attractors connected by Fermi-Pasta-Ulam chain
Alexander Fillipov, Bambi Hu, Baowen Li +1
We study numerically time evolution of a system which consists of two attractors connected by Fermi-Pasta-Ulam (FPU) chain. It is found that after sufficiently long time there exit…
Bifurcations and Transitions to Chaos in An Inverted Pendulum
Sang-Yoon Kim, Bambi Hu
We consider a parametrically forced pendulum with a vertically oscillating suspension point. It is well known that, as the amplitude of the vertical oscillation is increased, its i…
Plateau in Above-Threshold-Ionization Spectra and Chaotic Behavior in Rescattering Process
Jie Liu, Shi-Gang Chen, Bambi Hu
An improved quasistatic model is used to describe the ionization process of atoms in intense linearly polarized fields. Numerical calculations of Above-Threshold-Ionization (ATI) e…
Chaotic Behavior of a One-dimensional Model Atom in an Intense Field
Jie Liu, Shi-Gang Chen, Bambi Hu
In this paper we describe the rescattering process in optical field ionization through a one-dimensional model, which improves the well-known quasistatic model by adding the smooth…
Is there relevance of chaos in numerical solutions of quantum billiards?
Baowen Li, Marko Robnik
In numerically solving the Helmholtz equation inside a connected plane domain with Dirichlet boundary conditions (the problem of the quantum billiard) one surprisingly faces enormo…