Two- and three-body problem with Floquet-driven zero-range interactions
arXiv:1704.01089 · doi:10.1103/PhysRevA.95.062705
Abstract
We study the two-body scattering problem in the zero-range approximation with a sinusoidally driven scattering length and calculate the relation between the mean value and amplitude of the drive for which the effective scattering amplitude is resonantly enhanced. In this manner we arrive at a family of curves along which the effective scattering length diverges but the nature of the corresponding Floquet-induced resonance changes from narrow to wide. Remarkably, on these curves the driving does not induce heating. In order to study the effect of these resonances on the three-body problem we consider one light and two heavy particles with driven heavy-light interaction in the Born-Oppenheimer approximation and find that the Floquet driving can be used to tune the three-body and inelasticity parameters.
14 pages, 7 figures
References in corpus (30)
- Many-Body Physics with Ultracold Gases
- Topological characterization of periodically-driven quantum systems
- 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
- Tuning the scattering length with an optically induced Feshbach resonance
- Experimental demonstration of painting arbitrary and dynamic potentials for Bose-Einstein condensates
- Three-boson problem near a narrow Feshbach resonance
- p-wave Feshbach molecules
- Bragg spectroscopy of a strongly interacting 85Rb Bose-Einstein condensate
- Observation of Efimov Resonances in a Mixture with Extreme Mass Imbalance
- Observation of Heteronuclear Feshbach Molecules from a Rb - Rb gas
- Efimov Physics in Cold Atoms
- Periodically-driven quantum matter: the case of resonant modulations
- Scattering Theory for Floquet-Bloch States
- Heteronuclear molecules in an optical dipole trap
- Analytical solution of the bosonic three-body problem
- Determination of atomic scattering lengths from measurements of molecular binding energies near Feshbach resonances
- Adiabatic association of ultracold molecules via magnetic field tunable interactions
- Microscopic Origin and Universality Classes of the Efimov Three-Body Parameter
- Association of ultracold double-species bosonic molecules
- Floquet Edge States with Ultracold Atoms
- Universal van der Waals Physics for Three Ultracold Atoms
- Study of Efimov physics in two nuclear-spin sublevels of 7Li
- Efimov Physics and the Three-Body Parameter within a Two-Channel Framework
- Floquet Engineering of Haldane Chern Insulators and Chiral bosonic phase transitions
- Association of molecules using a resonantly modulated magnetic field
- Universality of weakly bound dimers and Efimov trimers close to Li-Cs Feshbach resonances
- The three-body parameter for Efimov states in lithium-6
- Association of Atoms into Universal Dimers using an Oscillating Magnetic Field
Cited by in corpus (8)
- Momentum distribution and coherence of a weakly interacting Bose gas after a quench
- Rabi oscillations and magnetization of a mobile spin-1/2 impurity in a Fermi sea
- Non-adiabatic molecular association in thermal gases driven by radio-frequency pulses
- Universal Efimov Scaling in the Rabi-Coupled Few-Body Spectrum
- Understanding Floquet Resonances in Ultracold Gas Scattering
- Singularities of Floquet Scattering and Tunneling
- Two-Body Contact Dynamics in a Bose Gas near a Fano-Feshbach Resonance
- Impenetrability in Floquet scattering in one dimension