Localization transition in weakly-interacting Bose superfluids in one-dimensional quasiperdiodic lattices

Abstract

We study the localization of collective pair excitations in weakly-interacting Bose superfluids in one-dimensional quasiperiodic lattices. The localization diagram is first determined numerically. For intermediate interaction and quasiperiodic amplitude we find a sharp localization transition, with extended low-energy states and localized high-energy states. We then develop an analytical treatment, which allows us to quantitatively map the localization transition into that of an effective multiharmonic quasiperiodic system.

Final version

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Cited by in corpus (38)

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• Critical Behavior and Fractality in Shallow One-Dimensional Quasiperiodic Potentials
• Anomalous mobility edges in one-dimensional quasiperiodic models
• Observation of interaction-induced mobility edge in a disordered atomic wire
• Lieb-Liniger Bosons in a Shallow Quasiperiodic Potential: Bose Glass Phase and Fractal Mott Lobes
• Strongly-Interacting Bosons in a Two-Dimensional Quasicrystal Lattice
• Observation of two-dimensional Anderson localisation of ultracold atoms
• Observation of critical phase transition in a generalized Aubry-André-Harper model on a superconducting quantum processor with tunable couplers
• Observation of localization of light in photonic quasicrystals of diverse symmetries
• Hidden dualities in 1D quasiperiodic lattice models
• Emergent entanglement phase transitions in non-Hermitian Aubry-André-Harper chains
• Nonequilibrium dynamics of the localization-delocalization transition in the non-Hermitian Aubry-André model
• Dynamics of the mean-field interacting quantum kicked rotor
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• Exact Mobility Edges and Topological Phase Transition in Two-Dimensional non-Hermitian Quasicrystals
• Local Integrals of Motion in Quasiperiodic Many-Body Localized Systems
• Thermodynamic Phase Diagram of Two-Dimensional Bosons in a Quasicrystal Potential
• Emergence of multifractality through cascade-like transitions in a mosaic interpolating Aubry-André-Fibonacci chain
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• Propagation of collective pair excitations in disordered Bose superfluids
• Quantum criticality and Kibble-Zurek scaling in the Aubry-André-Stark model
• Localization of weakly interacting Bose gas in quasiperiodic potential
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• Mobility Edges in one-dimensional Models with quasi-periodic disorder
• Simulating and probing many-body quantum states in waveguide-QED systems with giant atoms
• Imbalance for a family of one-dimensional incommensurate models with mobility edges
• A finite temperature study of ideal quantum gases in the presence of one dimensional quasi-periodic potential
• Finite-size scaling analysis of localization transitions in the disordered two-dimensional Bose-Hubbard model within the fluctuation operator expansion method
• Anderson localization of Bogoliubov excitations on quasi-1D strips
• Mobility edges and fractal states in quasiperiodic Gross-Pitaevskii chains
• Phase Properties of Interacting Bosons in Presence of Quasiperiodic and Random Disorder
• Photonic Simulation of Localization Phenomena Using Boson Sampling
• Critical properties in the non-Hermitian Aubry-Andre-Stark model
• Dynamical localization of interacting ultracold atoms in one-dimensional quasi-periodic potentials
• Mobility-edge-embedded Hofstadter butterfly from a tilt-induced quasiperiodic potential
• Fluctuation-stable generalized entropy probes of spectral heterogeneity
• Fractal Quasicondensation in One Dimension