Resonances in a periodically driven bosonic system

Abstract

Periodically driven systems are a common topic in modern physics. In optical lattices specifically, driving is at the origin of many interesting phenomena. However, energy is not conserved in driven systems, and under periodic driving, heating of a system is a real concern. In an effort to better understand this phenomenon, the heating of single-band systems has been studied, with a focus on disorder- and interaction-induced effects, such as many-body localisation. Nevertheless, driven systems occur in a much wider context than this, leaving room for further research. Here, we fill this gap by studying a non-interacting model, characterised by discrete, periodically spaced energy levels that are unbounded from above. We couple these energy levels resonantly through a periodic drive, and discuss the heating dynamics of this system as a function of the driving protocol. In this way, we show that a combination of stimulated emission and absorption causes the presence of resonant stable states. This will serve to elucidate the conditions under which resonant driving causes heating in quantum systems.

References in corpus (37)

• Floquet Topological Insulator in Semiconductor Quantum Wells
• Atomic quantum gases in periodically driven optical lattices
• Creating, moving and merging Dirac points with a Fermi gas in a tunable honeycomb lattice
• On the phase structure of driven quantum systems
• Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
• Quantum simulation of frustrated magnetism in triangular optical lattices
• Dynamical control of matter-wave tunneling in periodic potentials
• Equilibrium states of generic quantum systems subject to periodic driving
• Long-time behavior of periodically driven isolated interacting lattice systems
• Superfluid-insulator transition in a periodically driven optical lattice
• Floquet-Magnus Theory and Generic Transient Dynamics in Periodically Driven Many-Body Quantum Systems
• Engineering Ising-XY spin models in a triangular lattice via tunable artificial gauge fields
• Periodically driven ergodic and many-body localized quantum systems
• The Theory of Boundary Critical Phenomena
• Coherent control of dressed matter waves
• Many-body energy localization transition in periodically driven systems
• In situ observation of strongly interacting ferromagnetic domains in a shaken optical lattice
• Floquet engineering of correlated tunneling in the Bose-Hubbard model with ultracold atoms
• Exotic Freezing of Response in Quantum Many-Body System
• Prethermal Floquet Steady States and Instabilities in the Periodically Driven, Weakly Interacting Bose-Hubbard Model
• Floquet Topological States in Shaking Optical Lattices
• Floquet prethermalization and regimes of heating in a periodically driven, interacting quantum system
• Heating and many-body resonances in a periodically driven two-band system
• Density-Dependent Synthetic Gauge Fields Using Periodically Modulated Interactions
• Tuning the Mott transition in a Bose-Einstein condensate by multi-photon absorption
• Heating rates for an atom in a far-detuned optical lattice
• Quantum simulation of correlated-hopping models with fermions in optical lattices
• Freezing a Quantum Magnet by Repeated Quantum Interference: An Experimental Realization
• Population dynamics in Floquet realisation of Harper-Hofstadter Hamiltonian
• Floquet Thermalization: Symmetries and Random Matrix Ensembles
• Dynamic freezing of strongly correlated ultracold bosons
• Merging and alignment of Dirac points in a shaken honeycomb optical lattice
• Laser controlled tunneling in a vertical optical lattice
• Strong Interaction Effects in Superfluid Ising Quantum Phase Transition
• Floquet resonant states and validity of the Floquet-Magnus expansion in the periodically driven Friedrichs models
• Critical Casimir effect in films for generic non-symmetry-breaking boundary conditions
• Bandwidth-resonant Floquet states in honeycomb optical lattices

Cited by in corpus (7)

• Floquet dynamics in driven Fermi-Hubbard systems
• Suppressing dissipation in a Floquet-Hubbard system
• Fibonacci steady states in a driven integrable quantum system
• Dynamical localization and slow thermalization in a class of disorder-free periodically driven one-dimensional interacting systems
• Exact results in Floquet coin toss for driven integrable models
• Parametric Instabilities in Resonantly-Driven Bose-Einstein Condensates
• Dynamical Phase Transitions in Periodically Driving 1D Ising Model