5 papers
Diffusive transport from spatially correlated random phase kicks
Pei Wang
We study the dynamics of a single-particle wave packet on a one-dimensional lattice subject to periodic random phase kicks with finite spatial correlation length. This stroboscopic…
Relativistic model of spontaneous wave-function localization induced by nonHermitian colored noise
Pei Wang
We develop a quantum field theory based on random nonHermitian actions, which upon quantization lead to stochastic nonlinear Schrödinger dynamics for the state vector. In this fra…
Brillouin Platycosms and Topological Phases
Chen Zhang, Peiyuan Wang, Junkun Lyu +1
There exist ten distinct closed flat D manifolds, known as platycosms, which hold significance in mathematics and have been postulated as potential geometric models for our univ…
Random non-Hermitian Hamiltonian framework for symmetry breaking dynamics
Pei Wang
We propose random non-Hermitian Hamiltonians to model the generic stochastic nonlinear dynamics of a quantum state in Hilbert space. Our approach features an underlying linearity i…
Random non-Hermitian action theory for stochastic quantum dynamics: from canonical to path integral quantization
Pei Wang
We develop a theory of random non-Hermitian action that, after quantization, describes the stochastic nonlinear dynamics of quantum states in Hilbert space. Focusing on fermionic f…