4 papers
Lyapunov spectrum scaling transition for quasiperiodic nonlinear unitaries
Xiaodong Zhang, Barbara Dietz, Sergej Flach
We study the Lyapunov spectrum scaling of thermal weakly-nonlinear unitary maps in the presence of quasiperiodic potentials. We search for the crossover from long-range to short-ra…
Quantum Implicit-Explicit Schemes for Multiscale Ordinary and Partial Differential Equations via Schrödingerization
Qitong Hu, Xiaoyang He, Shi Jin +1
In this paper, we present a quantum implicit-explicit (IMEX) scheme for multiscale ordinary and partial differential equations whose discretization parameters are independent of th…
Experimental study of coupled quantum billiards with integrable and chaotic classical dynamics and test of a special Rosenzweig-Porter model
Xiaodong Zhang, Jiongning Che, Barbara Dietz
We report on the experimental study of the spectral properties of quantum systems consisting of two quantum billiards (QBs), one with chaotic, the other one with integrable classic…
Observation of prethermalization in weakly nonintegrable unitary maps
Xiaodong Zhang, Gabriel M. Lando, Barbara Dietz +1
We investigate prethermalization by studying the statistical properties of the time-dependent largest Lyapunov exponent for unitary-circuit maps upon approaching integrabili…