Interband heating processes in a periodically driven optical lattice

Abstract

We investigate multi-"photon" interband excitation processes in an optical lattice that is driven periodically in time by a modulation of the lattice depth. Assuming the system to be prepared in the lowest band, we compute the excitation spectrum numerically. Moreover, we estimate the effective coupling parameters for resonant interband excitation processes analytically, employing degenerate perturbation theory in Floquet space. We find that below a threshold driving strength, interband excitations are suppressed exponentially with respect to the inverse driving frequency. For sufficiently low frequencies, this leads to a rather sudden onset of interband heating, once the driving strength reaches the threshold. We argue that this behavior is rather generic and should also be found in lattice systems that are driven by other forms of periodic forcing. Our results are relevant for Floquet engineering, where a lattice system is driven periodically in time in order to endow it with novel properties like the emergence of a strong artificial magnetic field or a topological band structure. In this context, interband excitation processes correspond to detrimental heating.

11 pages, 4 figures

References in corpus (15)

• Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
• Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
• Dynamical control of matter-wave tunneling in periodic potentials
• Tunable gauge potential for neutral and spinless particles in driven lattices
• Equilibrium states of generic quantum systems subject to periodic driving
• Coherent control of dressed matter waves
• Observation of photon-assisted tunneling in optical lattices
• Exploring dynamic localization with a Bose-Einstein condensate
• Scattering Theory for Floquet-Bloch States
• Coherent Delocalization of Atomic Wave Packets in Driven Lattice Potentials
• Stability of a Floquet Bose-Einstein condensate in a one-dimensional optical lattice
• AC-induced superfluidity
• Population dynamics in Floquet realisation of Harper-Hofstadter Hamiltonian
• Avoided level crossing spectroscopy with dressed matter waves
• Transverse collisional instabilities of a Bose-Einstein condensate in a driven one-dimensional lattice

Cited by in corpus (21)

• Atomic quantum gases in periodically driven optical lattices
• Topological Bands for Ultracold Atoms
• Interaction dependent heating and atom loss in a periodically driven optical lattice
• Floquet dynamics in driven Fermi-Hubbard systems
• Universal fluctuations of Floquet topological invariants at low frequencies
• Quantum Simulation Meets Nonequilibrium Dynamical Mean Field Theory: Exploring the Periodically Driven, Strongly Correlated Fermi-Hubbard Model
• Suppressing dissipation in a Floquet-Hubbard system
• Heating in integrable time-periodic systems
• The optimal frequency window for Floquet engineering in optical lattices
• Loading Ultracold Gases in Topological Floquet Bands: Current and Center-of-Mass Responses
• Phasonic Spectroscopy of a Quantum Gas in a Quasicrystalline Lattice
• Out-of-equilibrium dynamics of a Bose Einstein condensate in a periodically driven band system
• Simplified landscapes for optimization of shaken lattice interferometry
• Floquet-heating-induced Bose condensation in a scar-like mode of an open driven optical-lattice system
• Suppression of inter-band heating for random driving
• Bosonic fractional quantum Hall conductance in shaken honeycomb optical lattices without flat bands
• Bayesian Optimization for Robust State Preparation in Quantum Many-Body Systems
• Optimal control for preparing fractional quantum Hall states in optical lattices
• Frequency dependence of the light-induced Hall effect in dissipative graphene
• Low-frequency and Moiré Floquet engineering: a review
• Parametric Instabilities in Resonantly-Driven Bose-Einstein Condensates