Non-linear response of interacting bosons in a quasiperiodic potential
arXiv:2205.06554 · doi:10.1103/PhysRevB.107.035120
Abstract
We theoretically study the electric pulse-driven non-linear response of interacting bosons loaded in an optical lattice in the presence of an incommensurate superlattice potential. In the non-interacting limit , the model admits both localized and delocalized phases depending on the strength of the incommensurate potential . We show that the particle current contains only odd harmonics in the delocalized phase in contrast to the localised phase where both even and odd harmonics are identified. The relative magnitudes of these even and odd harmonics and sharpness of the peaks can be tuned by varying frequency and the number of cycles of the applied pulse, respectively. In the presence of repulsive interactions, the amplitudes of the even and odd harmonics further depend on the relative strengths of the interaction and the potential . We illustrate that the disorder and interaction-induced phases can be distinguished and characterized through the particle current. Finally, we discuss the dynamics of field induced excitation responsible for exhibiting higher harmonics in the current spectrum.
arXiv comment11 pages, 11 figures
References in corpus (56)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Cold bosonic atoms in optical lattices
- The density-matrix renormalization group
- Artificial gauge potentials for neutral atoms
- Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
- Anderson localization of a non-interacting Bose-Einstein condensate
- Direct observation of Anderson localization of matter-waves in a controlled disorder
- The many-body localization phase transition
- Many-body localization edge in the random-field Heisenberg chain
- Three-dimensional localization of ultracold atoms in an optical disordered potential
- Many-Body Localization in a Quasiperiodic System
- Three-Dimensional Anderson Localization of Ultracold Matter
- High harmonic generation from Bloch electrons in solids
- Periodically Driving a Many-Body Localized Quantum System
- Universal properties of many-body delocalization transitions
- A synthetic electric force acting on neutral atoms
- Delocalization of a disordered bosonic system by repulsive interactions
- A criterion for many-body localization-delocalization phase transition
- Observation of many-body localization in a one-dimensional system with single-particle mobility edge
- High harmonic imaging of ultrafast many-body dynamics in strongly correlated systems
- Exponential localization in one-dimensional quasiperiodic optical lattices
- Mott insulators in strong electric fields
- The quasi-periodic Bose-Hubbard model and localization in one-dimensional cold atomic gases
- Observation of subdiffusion of a disordered interacting system
- Efficient Terahertz Harmonic Generation with Coherent Acceleration of Electrons in the Dirac Semimetal Cd3As2
- Exact diagonalization: the Bose-Hubbard model as an example
- Cooling and entangling ultracold atoms in optical lattices
- Transport in quasiperiodic interacting systems: from superdiffusion to subdiffusion
- Effects of interaction on the diffusion of atomic matter waves in one-dimensional quasi-periodic potentials
- Anderson Localization of Bogolyubov Quasiparticles in Interacting Bose-Einstein Condensates
- Lieb-Liniger Bosons in a Shallow Quasiperiodic Potential: Bose Glass Phase and Fractal Mott Lobes
- High-Harmonic Generation from Monolayer and Bilayer Graphene
- Observation of two-dimensional Anderson localisation of ultracold atoms
- High-harmonic generation in one-dimensional Mott insulator
- Localization of Bogoliubov quasiparticles in interacting Bose gases with correlated disorder
- Drive Induced Delocalization in Aubry-André Model
- Nonequilibrium steady states of electric-field driven Mott insulators
- Cold bosons in optical lattices: a tutorial for Exact Diagonalization
- Anomalous temperature dependence of high-harmonic generation in Mott insulators
- High-order nonlinear optical response of a twisted bilayer graphene
- High-harmonic generation by electric polarization, spin current, and magnetization
- Linear and Nonlinear Optical Responses in Kitaev Spin Liquids
- Subdiffusion of nonlinear waves in quasiperiodic potentials
- Signature of Chaos and Delocalization in a Periodically Driven Many Body System : An Out-of-Time-Order Correlation Study
- Absolute strong-field ionization probabilities of ultracold rubidium atoms
- Non-equilibrium steady state phases of the interacting Aubry-Andre-Harper model
- Disorder Effects on the Origin of High-Order Harmonic Generation in Solids
- Excitations of the One Dimensional Bose-Einstein Condensates in a Random Potential
- Localization in momentum space of ultracold atoms in incommensurate lattices
- Finite-temperature phases of trapped bosons in a two-dimensional quasiperiodic potential
- Analytical WKB theory for high-harmonic generation and its application to massive Dirac electrons
- Propagation of collective pair excitations in disordered Bose superfluids
- Principal frequency of an ultrashort laser pulse
- Non-linear dynamical response of interacting bosons to synthetic electric field
- Many-body localized phase of bosonic dipoles in a tilted optical lattice
- Zonal estimators for quasiperiodic bosonic many-body phases