From Anderson to anomalous localization in cold atomic gases with effective spin-orbit coupling

Abstract

We study the dynamics of a one-dimensional spin-orbit coupled Schrodinger particle with two internal components moving in a random potential. We show that this model can be implemented by the interaction of cold atoms with external lasers and additional Zeeman and Stark shifts. By direct numerical simulations a crossover from an exponential Anderson-type localization to an anomalous power-law behavior of the intensity correlation is found when the spin-orbit coupling becomes large. The power-law behavior is connected to a Dyson singularity in the density of states emerging at zero energy when the system approaches the quasi-relativistic limit of the random mass Dirac model. We discuss conditions under which the crossover is observable in an experiment with ultracold atoms and construct explicitly the zero-energy state, thus proving its existence under proper conditions.

4 pages and 4 figures

References in corpus (10)

• Many-Body Physics with Ultracold Gases
• A spin-orbit coupled Bose-Einstein condensate
• Artificial gauge potentials for neutral atoms
• Theory of ultracold Fermi gases
• Direct observation of Anderson localization of matter-waves in a controlled disorder
• Anderson Localization of Expanding Bose-Einstein Condensates in Random Potentials
• Quasi-relativistic behavior of cold atoms in light fields
• Atomic Zitterbewegung
• Delocalization of relativistic Dirac particles in disordered one-dimensional systems and its implementation with cold atoms
• Resonance beating of light stored using atomic spinor polaritons

Cited by in corpus (16)

• Gap solitons in the spin-orbit coupled Bose-Einstein condensates
• Exotic superfluidity in spin-orbit coupled Bose-Einstein condensates
• Gap Solitons in Spin-Orbit-Coupled Bose-Einstein Condensates in Optical Lattices
• Anderson Localization of cold atomic gases with effective spin-orbit interaction in a quasiperiodic optical lattice
• Localization of a spin-orbit coupled Bose-Einstein condensate in a bichromatic optical lattice
• Nonlinear modes in binary bosonic condensates with the pseudo-spin-orbital coupling
• Tunable spin-orbit coupled Bose-Einstein condensates in deep optical lattices
• Flat bands and dynamical localization of spin-orbit coupled Bose-Einstein condensates
• Disorder-dressed quantum evolution
• Controlling directed atomic motion and second-order tunneling of a spin-orbit-coupled atom in optical lattices
• Particle number fractionalization of a one-dimensional atomic Fermi gas with synthetic spin-orbit coupling
• Superfluidity of Bose-Einstein condensates in ultracold atomic gases
• From Disordered Quantum Walk to Physics of Off-diagonal Disorder
• Dynamics of spin-orbit-coupled cold atomic gases in a Floquet lattice with an impurity
• On the Josephson effect in a Bose-Einstein condensate subject to a density dependent gauge potential
• Spin-selective Aharonov-Casher caging in a topological quantum network