This paper was supported by the National Natural Science Foundation of China under Grant Nos.11535011 and 11775210.
We study the sensitivity of energy eigenstates to small perturbation in quantum integrable and chaotic systems.It is shown that the distribution of rescaled components of perturbed states in unperturbed basis exhibits...
National Natural Science Foundation of China under Grant No.1050402
We propose a scheme to generate atomic cluster states of arbitrary configuration in the cavity quantumelectrodynamics (QED) system.The process is achieved via adiabatic evolution of dark states,which only requiresadia...
The project supported by Specialized Research Fund for the Doctorial Progress of Higher Education (SRFDP) under Grant No. 2004035819
For the first time we construct the eigenstate |τ〉 of noncommutatlve coordinate. It turns out that|τ〉 is an entangled state in the ordinary space. Remarkably, its Schmidt decomposition has definite expression in...
the National Natural Science Foundation of China under
In a rotating noninertial frame, we investigate the eigenstates of the time-dependent problem for electronnucleus scattering assisted by a circularly polarized laser field. Numerical results of probability distributio...
We obtain. the exact analytical results of all the eigenvalues and eigenstates for three kinds of models describing N-mode multiphoton process without using the assumption of the Bethe ansatz. The exact analytical res...
The. Analytical expressions of eigenstates and eigenenergies are demonstrated using a parameter λ without the assumption of Bethe anstz for two kinds of N-mode mixing models. The parameter is shown to be determined b...
We present an efficient approach to studying the spectra and eigenstates for the model describing interactionsamong five bosonic modes without using the assumption of the Bethe ansatz. The exact analytical results of ...
In this paper, using the arguments of Wu et al. [Phys. Rev. Left. 86 (2001) 2200] we analytically discuss the energy spectra and corresponding eigenstates for the process of κ-photon down-conversion with quantized p...
The relation between one-to-one correspondent orthonormal eigenstates of H0 and H(λ) = H0 + λV is carefully studied with general perturbation theory. Attention is particularly paid to the analyticity and its local ...