Testing the universality of the many-body metal-insulator transition by time evolution of a disordered one-dimensional ultracold fermionic gas

Abstract

It is now possible to study experimentally the combined effect of disorder and interactions in cold atom physics. Motivated by these developments we investigate the dynamics around the metal-insulator transition (MIT) in a one-dimensional (1D) Fermi gas with short-range interactions in a quasiperiodic potential by the time-dependent density-matrix renormalization group (tDMRG) technique. By tuning disorder and interactions we study the MIT from the weakly to the strongly interacting limit. The MIT is not universal as time evolution, well described by a process of anomalous diffusion, depends qualitatively on the interaction strength. By using scaling ideas we relate the parameter that controls the diffusion process with the critical exponent that describes the divergence of the localization length. In the limit of strong interactions theoretical arguments suggest that the motion at the MIT tends to ballistic and critical exponents approach mean-field predictions.

4 pages, 3 figures, journal version

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Cited by in corpus (11)

• Many-Body Localization in a Quasiperiodic System
• Anomalous transport in the Aubry-André-Harper model in isolated and open systems
• Single-particle and many-body analyses of a quasiperiodic integrable system after a quench
• Anderson localization of pairs in bichromatic optical lattices
• Quantum dynamics in the interacting Fibonacci chain
• Topological Properties of Ultracold Bosons in One-Dimensional Quasiperiodic Optical Lattice
• Strongly interacting bosons in multi-chromatic potentials supporting mobility edges: localization, quasi-condensation and expansion dynamics
• Localization of weakly interacting Bose gas in quasiperiodic potential
• Density dynamics in the mass-imbalanced Hubbard chain
• Dynamics of pattern-loaded fermions in bichromatic optical lattices
• Quench dynamics of two component dipolar fermions subject to a quasiperiodic potential