arXiv subjects

Wenge Wang

Publications and source records attributed to Wenge Wang.

3 recordsLinked to original sources

arXiv2020

Complexity of quantum motion and quantum-classical correspondence: A phase-space approach

We discuss the connection between the out-of-time-ordered correlator and the number of harmonics of the phase-space Wigner distribution function. In particular, we show that both quantities grow exponentially for chaotic dynamics, with a rate determined by the largest Lyapunov exponent of the underlying classical dynamics, and algebraically -- linearly or quadratically -- for integrable dynamics. It is then possible to use such quantities to detect in the time domain the integrability to chaos crossover in many-body quantum systems.

quant-ph↗

arXiv2015

Half-width of local spectral density of states given by width of nonperturbative parts of eigenfunctions: The Wigner-band-matrix model

It is shown that, for a Hamiltonian with a band structure, the half width of local spectral density of states, or strength function, is closely related to the width of the nonperturbative (NPT) parts of energy eigenfunctions. In the Wigner-band random-matrix model, making use of a generalized Brillouin-Wigner perturbation theory, we derive analytical expressions for the width of the NPT parts under weak and strong perturbation. An iterative algorithm is given, by which the NPT widths can be computed efficiently, and is used in numerical test of the analytical predictions.

quant-ph↗

arXiv2005

Fidelity of a Bose-Einstein Condensate

We investigate fidelity, the Loschmidt echo, for a Bose-Einstein Condensate. It is found that the fidelity decays with time in various ways (exponential, Gaussian, and power-law), depending on the choice of initial coherent state as well as the parameters that determine properties of the underlying classical dynamics. Moreover, high fidelity is found for initial states lying in the regular region of a mixed-type phase space. A possible experimental scheme is suggested.

cond-mat.mes-hall↗