Sub-Fourier characteristics of a $\delta$-kicked rotor resonance

Abstract

We experimentally investigate the sub-Fourier behavior of a $\delta$-kicked rotor resonance by performing a measurement of the fidelity or overlap of a Bose-Einstein condensate (BEC) exposed to a periodically pulsed standing wave. The temporal width of the fidelity resonance peak centered at the Talbot time and zero initial momentum exhibits an inverse cube pulse number ($1/N^3$) dependent scaling compared to a $1/N^2$ dependence for the mean energy width at the same resonance. A theoretical analysis shows that for an accelerating potential the width of the resonance in acceleration space depends on $1/N^3$, a property which we also verify experimentally. Such a sub-Fourier effect could be useful for high precision gravity measurements.

4 pages, 5 figures

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Cited by in corpus (34)

• Quantized Adiabatic Transport in Momentum Space
• Floquet topological phases in a spin-1/2 double kicked rotor
• Non-Hermitian Floquet topological phases in the double-kicked rotor
• A quantum random walk of a Bose-Einstein condensate in momentum space
• Loschmidt Echo in Many-Body Localized Phase
• Kicked-Harper model vs On-Resonance Double Kicked Rotor Model: From Spectral Difference to Topological Equivalence
• Long-lasting Exponential Spreading in Periodically Driven Quantum Systems
• Dynamical tunneling of a Bose-Einstein condensate in periodically driven systems
• Hamiltonian ratchets with ultra-cold atoms
• Initial state dependence of a quantum-resonance ratchet
• Steering random walks with kicked ultracold atoms
• Controlling the Momentum Current of an Off-resonant Ratchet
• Fidelity of the quantum delta-kicked accelerator
• Exponential Quantum Spreading in a Class of Kicked Rotor Systems near High-Order Resonances
• Effective protection of quantum coherence by non-Hermitian driving
• Atom interferometry using $\delta$-kicked and finite duration pulse-sequences
• Detecting Topological phase transitions in a double kicked quantum rotor
• Applications of fidelity measures to complex quantum systems
• Fidelity for kicked atoms with gravity near a quantum resonance
• Floquet higher-order topological phases in momentum space
• Spontaneous Emission in Quantum Walks of a Kicked Bose-Einstein Condensate
• Dynamics of kicked spin-orbit-coupled Bose-Einstein condensates
• A quantum motor: directed wavepacket motion in an optical lattice
• Microwave realisation of a periodically driven system
• Enhancing Quantum Metrology by Quantum Resonance Dynamics
• Resonant transfer of large momenta from finite duration pulse sequences
• Avoided crossing and sub-Fourier sensitivity in driven quantum systems
• Fidelity of the near resonant quantum kicked rotor
• Engineering transport by concatenated maps
• Staggered-Ladder Quasienergy Spectra for Generic Quasimomentum and Quantum-Dynamical Manifestations
• Interacting bosons in two-dimensional lattices with localized dissipation
• Many topological regions on the Bloch sphere of the spin-1/2 double kicked top
• Effective dynamics and quantum state engineering by periodic kicks
• Impact of Boundary Conditions on the Double-Kicked Quantum Rotor