Dynamical observation of mobility edges in one-dimensional incommensurate optical lattices

Abstract

We investigate the wave packet dynamics for a one-dimensional incommensurate optical lattice with a special on-site potential which exhibits the mobility edge in a compactly analytic form. We calculate the density propagation, long-time survival probability and mean square displacement of the wave packet in the regime with the mobility edge and compare with the cases in extended, localized and multifractal regimes. Our numerical results indicate that the dynamics in the mobility-edge regime mix both extended and localized features which is quite different from that in the mulitfractal phase. We utilize the Loschmidt echo dynamics by choosing different eigenstates as initial states and sudden changing the parameters of the system to distinguish the phases in the presence of such system.

16 pages, 8 figures

References in corpus (17)

• Anderson Transitions
• Direct observation of Anderson localization of matter-waves in a controlled disorder
• Localization of ultrasound in a three-dimensional elastic network
• Dynamics of Loschmidt echoes and fidelity decay
• Many-Body Localization in a Quasiperiodic System
• Nearest neighbor tight binding models with an exact mobility edge in one dimension
• Topological classification of dynamical phase transitions
• Localization in one-dimensional incommensurate lattices beyond the Aubry-André model
• First order dynamical phase transitions
• Loschmidt Echo Revivals: Critical and Noncritical
• Mobility edge for cold atoms in laser speckle potentials
• Non-equilibrium phase diagram of a 1D quasiperiodic system with a single-particle mobility edge
• Wavepacket dynamics of the nonlinear Harper model
• Delocalization and Heisenberg's uncertainty relation
• Phononic Topological States in 1D Quasicrystals
• Multi-fractality of the entanglement Hamiltonian eigen-modes
• Mobility edge of two interacting particles in three-dimensional random potentials

Cited by in corpus (4)

• Dynamical evolution in a one-dimensional incommensurate lattice with $\mathcal{P}\mathcal{T}$ symmetry
• Multiple localization transitions and novel quantum phases induced by staggered on-site potential
• Mobility edges and critical regions in periodically kicked incommensurate optical Raman lattice
• Exact mobility line and mobility ring in the complex energy plane of a flat band lattice with a non-Hermitian quasiperiodic potential