Mobility edges and critical regions in periodically kicked incommensurate optical Raman lattice

Abstract

Conventionally the mobility edge (ME) separating extended states from localized ones is a central concept in understanding Anderson localization transition. The critical state, being delocalized and non-ergodic, is a third type of fundamental state that is different from both the extended and localized states. Here we study the localization phenomena in a one dimensional periodically kicked quasiperiodic optical Raman lattice by using fractal dimensions. We show a rich phase diagram including the pure extended, critical and localized phases in the high frequency regime, the MEs separating the critical regions from the extended (localized) regions, and the coexisting phase of extended, critical and localized regions with increasing the kicked period. We also find the fragility of phase boundaries, which are more susceptible to the dynamical kick, and the phenomenon of the reentrant localization transition. Finally, we demonstrate how the studied model can be realized based on current cold atom experiments and how to detect the rich physics by the expansion dynamics. Our results provide insight into studying and detecting the novel critical phases, MEs, coexisting quantum phases, and some other physics phenomena in the periodically kicked systems.

To appear in PRA

References in corpus (14)

• Anderson Transitions
• Nearest neighbor tight binding models with an exact mobility edge in one dimension
• Localization in one dimensional lattices with non-nearest-neighbor hopping: Generalized Anderson and Aubry-André models
• Localization in one-dimensional incommensurate lattices beyond the Aubry-André model
• Exact relations between multifractal exponents at the Anderson transition
• Localization and adiabatic pumping in a generalized Aubry-André-Harper model
• Manipulating Topological Edge Spins in One-Dimensional Optical Lattice
• Anomalous mobility edges in one-dimensional quasiperiodic models
• Non-equilibrium phase diagram of a 1D quasiperiodic system with a single-particle mobility edge
• Quantum phase with coexisting localized, extended, and critical zones
• Dynamical observation of mobility edges in one-dimensional incommensurate optical lattices
• Dynamical Anderson transition in one-dimensional periodically kicked incommensurate lattices
• Observation of the Quantum Boomerang Effect
• Localization, multifractality, and many-body localization in periodically kicked quasiperiodic lattices

Cited by in corpus (5)

• Multiple localization transitions and novel quantum phases induced by staggered on-site potential
• Multifractal-enriched mobility edges and emergent quantum phases in Rydberg atomic arrays
• Reentrant localization transition induced by a composite potential
• Anderson Localization and Swing Mobility Edge in Curved Spacetime
• Preparation and observation of anomalous counterpropagating edge states in a periodically driven optical Raman lattice