8 citations · 18 across the 5 of their papers we have counts for
5 papers
Expected Exit Time for Time-Periodic Stochastic Differential Equations and Applications to Stochastic Resonance
Chunrong Feng, Huaizhong Zhao, Johnny Zhong
In this paper, we derive a parabolic partial differential equation for the expected exit time of non-autonomous time-periodic non-degenerate stochastic differential equations. This…
Existence of Geometric Ergodic Periodic Measures of Stochastic Differential Equations
Chunrong Feng, Huaizhong Zhao, Johnny Zhong
Periodic measures are the time-periodic counterpart to invariant measures for dynamical systems and can be used to characterise the long-term periodic behaviour of stochastic syste…
Pechukas-Yukawa formalism for Landau-Zener transitions in the presence of external noise
Mumnuna A. Qureshi, Johnny Zhong, Peter Mason +2
Quantum systems are prone to decoherence due to both intrinsic interactions as well as random fluctuations from the environment. Using the Pechukas-Yukawa formalism, we investigate…
Pechukas-Yukawa approach to the evolution of the quantum state of a parametrically perturbed system
Mumnuna A Qureshi, Johnny Zhong, Zihad Qureshi +3
We consider the evolution of a quantum state of a Hamiltonian which is parametrically perturbed via a term proportional to the adiabatic parameter λ(t). Starting with the Pechukas-…
BBGKY chain and kinetic equations for the level dynamics in an externally perturbed quantum system
Mumnuna A. Qureshi, Johnny Zhong, Joseph J. Betouras +1
Theoretical description and simulation of large quantum coherent systems out of equilibrium remains a daunting task. Here we are developing a new approach to it based on the Pechuk…