Anderson Localization of cold atomic gases with effective spin-orbit interaction in a quasiperiodic optical lattice

Abstract

We theoretically investigate the localization properties of a spin-orbit coupled spin-1/2 particle moving in a one-dimensional quasiperiodic potential, which can be experimentally implemented using cold atoms trapped in a quasiperiodic optical lattice potential and external laser fields. We present the phase diagram in the parameter space of the disorder strength and those related to the spin-orbit coupling. The phase diagram is verified via multifractal analysis of the atomic wavefunctions and the numerical simulation of diffusion dynamics. We found that spin-orbit coupling can lead to the spectra mixing (coexistence of extended and localized states) and the appearance of mobility edges.

8 pages, 7 figures, to be published in Phys. Rev. A

References in corpus (8)

• Direct observation of Anderson localization of matter-waves in a controlled disorder
• Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
• Anderson Localization of Expanding Bose-Einstein Condensates in Random Potentials
• Bose Hubbard Models with Synthetic Spin-Orbit Coupling: Mott Insulators, Spin Textures and Superfluidity
• Exotic quantum spin models in spin-orbit-coupled Mott insulators
• Delocalization of relativistic Dirac particles in disordered one-dimensional systems and its implementation with cold atoms
• Localization problem of the quasiperiodic system with the spin orbit interaction
• Anderson localization of pairs in bichromatic optical lattices

Cited by in corpus (37)

• One dimensional quasiperiodic mosaic lattice with exact mobility edges
• Localization transition, spectrum structure and winding numbers for one-dimensional non-Hermitian quasicrystals
• Exact mobility edges, $\mathcal{P}\mathcal{T}$-symmetry breaking and skin effect in one-dimensional non-Hermitian quasicrystals
• Localized modes in quasi-2D Bose-Einstein condensates with spin-orbit and Rabi couplings
• Gap Solitons in Spin-Orbit-Coupled Bose-Einstein Condensates in Optical Lattices
• Exact non-Hermitian mobility edges in one-dimensional quasicrystal lattice with exponentially decaying hopping and its dual lattice
• Localization of a spin-orbit coupled Bose-Einstein condensate in a bichromatic optical lattice
• Dynamics of spin-orbit coupled Bose-Einstein condensates in a random potential
• Duality between two generalized Aubry-Andre models with exact mobility edges
• Anderson transition of cold atoms with synthetic spin-orbit coupling in two-dimensional speckle potentials
• Localization and mobility edges in the off-diagonal quasiperiodic model with slowly varying potentials
• Fate of topological states and mobility edges in one-dimensional slowly varying incommensurate potentials
• Localization of ultracold atoms in incommensurate spin-orbit-coupling and Zeeman lattices
• Bloch oscillations of spin-orbit-coupled cold atoms in an optical lattice and spin current generation
• Controlling directed atomic motion and second-order tunneling of a spin-orbit-coupled atom in optical lattices
• Bosons with incommensurate potential and spin-orbit coupling
• Anderson localization of Cooper pairs and Majorana fermions in an ultracold atomic Fermi gas with synthetic spin-orbit coupling
• Phase diagram of a generalized off-diagonal Aubry-André model with p-wave pairing
• Macroscopic random Paschen-Back effect in ultracold atomic gases
• Analytical results for the superflow of spin-orbit-coupled Bose-Einstein condensates in optical lattices
• Quasiperiodic criticality and spin-triplet superconductivity in superconductor-antiferromagnet moire patterns
• Dynamics of spin-orbit-coupled cold atomic gases in a Floquet lattice with an impurity
• Mobility edges and critical regions in periodically kicked incommensurate optical Raman lattice
• Generation of Bose-Einstein Condensates' Ground State Through Machine Learning
• Self-duality of One-dimensional Quasicrystals with Spin-Orbit Interaction
• Read-out of Quasi-periodic Systems using Qubits
• Bound states of spin-orbit coupled cold atoms in a Dirac delta-function potential
• Long-time averaged dynamics of a Bose-Einstein condensate in a bichromatic optical lattice with external harmonic confinement
• Signature of localization-delocalization in collisional inhomogeneous spin-orbit coupled condensates
• Spin-selective Aharonov-Casher caging in a topological quantum network
• Anderson Localization in Degenerate Spin-Orbit Coupled Fermi Gases with Disorder
• Generalized Aubry-Andre-Harper Models in Optical Superlattices
• Localization properties of a two-channel 3D Anderson model
• Moiré Superradiance in Cavity Quantum Electrodynamics with Quantum Atom Gas
• Coherent control of spin tunneling in a spin-orbit coupled bosonic triple well
• Duality breaking, mobility edges, and the connection between topological Aubry-André and quantum Hall insulators in atomic wires with fermions
• Formation of nonlinear modes in one-dimensional quasiperiodic lattices with a mobility edge