Quantum dynamics in the interacting Fibonacci chain
arXiv:2101.01111 · doi:10.1103/PhysRevB.103.184205
Abstract
Quantum dynamics on quasiperiodic geometries has recently gathered significant attention in ultra-cold atom experiments where non trivial localised phases have been observed. One such quasiperiodic model is the so called Fibonacci model. In this tight-binding model, non-interacting particles are subject to on-site energies generated by a Fibonacci sequence. This is known to induce critical states, with a continuously varying dynamical exponent, leading to anomalous transport. In this work, we investigate whether anomalous diffusion present in the non-interacting system survives in the presence of interactions and establish connections to a possible transition towards a localized phase. We investigate the dynamics of the interacting Fibonacci model by studying real-time spread of density-density correlations at infinite temperature using the dynamical typicality approach. We also corroborate our findings by calculating the participation entropy in configuration space and investigating the expectation value of local observables in the diagonal ensemble.
arXiv comment12 pages, 10 figures
References in corpus (46)
- Observation of many-body localization of interacting fermions in a quasi-random optical lattice
- Many-body localization edge in the random-field Heisenberg chain
- Time-evolution methods for matrix-product states
- QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems part I: spin chains
- Many-Body Localization in a Quasiperiodic System
- Spin transport in a one-dimensional anisotropic Heisenberg model
- Exploring the Single-Particle Mobility Edge in a One-Dimensional Quasiperiodic Optical Lattice
- Topological Equivalence between the Fibonacci Quasicrystal and the Harper Model
- Signatures of Many-Body Localization in a Controlled Open Quantum System
- Observation of Slow Dynamics near the Many-Body Localization Transition in One-Dimensional Quasiperiodic Systems
- Multifractal Scalings across the Many-Body Localization Transition
- Measurement of the mobility edge for 3D Anderson localization
- Observation of many-body localization in a one-dimensional system with single-particle mobility edge
- Dynamical typicality of quantum expectation values
- Emergence of criticality through a cascade of delocalization transitions in quasiperiodic chains
- Shift-invert diagonalization of large many-body localizing spin chains
- Transport in quasiperiodic interacting systems: from superdiffusion to subdiffusion
- Interaction instability of localization in quasiperiodic systems
- Correlated Fermions in a one-dimensional quasiperiodic potential
- Anomalous transport in the Aubry-André-Harper model in isolated and open systems
- Localization of interacting fermions in the Aubry-Andre' model
- Tensor-network method to simulate strongly interacting quantum thermal machines
- Interacting fermions in self-similar potentials
- Participation spectroscopy and entanglement Hamiltonian of quantum spin models
- Detecting a many-body mobility edge with quantum quenches
- Fractality in nonequilibrium steady states of quasiperiodic systems
- Many-body localization in a quasiperiodic Fibonacci chain
- Real-time broadening of non-equilibrium density profiles and the role of the specific initial-state realization
- Fractal dimensions of the wavefunctions and local spectral measures on the Fibonacci chain
- Dynamical typicality of isolated many-body quantum systems
- Quasiperiodic quantum heat engines with a mobility edge
- Critical properties of the many-particle (interacting) Aubry-André model ground-state localization-delocalization transition
- Diffusive transport in a quasiperiodic Fibonacci chain: absence of many-body localization at small interactions
- Density dynamics from current auto-correlations at finite time- and length-scales
- Selected applications of typicality to real-time dynamics of quantum many-body systems
- Asymmetry in energy versus spin transport in certain interacting, disordered systems
- Energy diffusion in the ergodic phase of a many body localizable spin chain
- Transport, multifractality, and the breakdown of single-parameter scaling at the localization transition in quasiperiodic systems
- Non-equilibrium steady state phases of the interacting Aubry-Andre-Harper model
- Spin transport in the XXZ model at high temperatures: Classical dynamics versus quantum S=1/2 autocorrelations
- Magnetization and energy dynamics in spin ladders: Evidence of diffusion in time, frequency, position, and momentum
- Classifying transport behavior via current fluctuations in open quantum systems
- Decay of spin-spin correlations in disordered quantum and classical spin chains
- Signatures of the single particle mobility edge in the ground state properties of Tonks-Girardeau and non-interacting Fermi gases in a bichromatic potential
- Emergence of anomalous dynamics from the underlying singular continuous spectrum in interacting many-body systems
- Testing the universality of the many-body metal-insulator transition by time evolution of a disordered one-dimensional ultracold fermionic gas
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- Evidence of Kardar-Parisi-Zhang scaling on a digital quantum simulator
- Quantum versus Classical Dynamics in Spin Models: Chains, Ladders, and Square Lattices
- Many-body localization in the interpolating Aubry-André-Fibonacci model
- Sub-diffusive phases in open clean long-range systems
- Dynamic scaling relation in quantum many-body systems
- Less is more: more scattering leading to less resistance
- Colloquium: Synthetic quantum matter in non-standard geometries
- Open-system spin transport and operator weight dissipation in spin chains
- The Fibonacci quasicrystal: case study of hidden dimensions and multifractality
- Non-equilibrium boundary driven quantum systems: models, methods and properties
- Electronic structure and transport in materials with flat bands: 2D materials and quasicrystals
- Localisation and Sub-Diffusive Transport in Quantum Spin Chains With Dilute Disorder
- Dephasing enhanced transport in boundary-driven quasiperiodic chains
- Superconducting order parameter in aperiodic binary systems
- Dephasing-enhanced performance in quasiperiodic thermal machines