5 papers
Arithmetic spectral transition for the unitary almost Mathieu operator
Fan Yang
We study the unitary almost Mathieu operator (UAMO), a one-dimensional quasi-periodic unitary operator arising from a two-dimensional discrete-time quantum walk on in…
Dissipation-driven topological phase transitions in open quantum systems independent of system Hamiltonian
Tian-Shu Deng, Fan Yang
We investigate dissipation-driven topological phase transitions in one-dimensional quantum open systems governed by the Lindblad equation with linear dissipation operators, which e…
Non-equilibrium Dynamics of Fermi Polarons Driven by Time-dependent Interaction
Fan Yang, Ran Qi
We systematically studied the dynamics of Fermi polarons driven by time-dependent scattering length using a time-dependent variational method. Starting from the non-interacting ini…
High-order structure-preserving schemes for the regularized logarithmic Schrödinger equation
Fan Yang, Zhida Zhou, Chaolong Jiang
In this paper, a novel high-order, mass and energy-conserving scheme is proposed for the regularized logarithmic Schrödinger equation(RLogSE). Based on the idea of the supplementar…
Interval spectrum for electric quantum walk and related skew-shift CMV matrices
Fan Yang
We show that for a family of quantum walk models with electric fields, the spectrum is the unit circle for any irrational field. The result also holds for the associated CMV matric…