A significantly stable mode of the ultracold atomic wave packet in amplitude modulated parabolic optical lattices

Abstract

We show that a conspicuous wave packet of ultracold noninteracting Bosonic atoms emerges in a 1-dimensional parabolic optical lattice as in the setup of the Aarhus experiment [P. L. Pedersen $et$ $al.$, Phys. Rev. A $88$, 023620 (2013)], given the lattice height is harmonically modulated with a particular amplitude at a resonant frequency. We show that this wave packet, coined "$4bandPWP$" here, executes stable time-wise periodic motion for infinitely long time. We apply the Floquet theory to analyze the parameter dependence of $4bandPWP$ in detail. Our analysis shows that it consists mainly of two principal Floquet eigenstates of the periodically driven Hamiltonian. The informative Husimi representation yields temporal slices of the phase space of $4bandPWP$, visually identifying moments where the inter-band transitions take place. The provided data should aid the experiment in locating $4bandPWP$.

17 pages, 8 figures

References in corpus (8)

• Tunable gauge potential for neutral and spinless particles in driven lattices
• State preparation and dynamics of ultracold atoms in higher lattice orbitals
• Introduction to Quantum Mechanics
• Intrinsic Photoconductivity of Ultracold Fermions in Optical Lattices
• Emergence of superfluid transport in a dynamical system of ultracold atoms
• Nature of quantum recurrences in coupled higher dimensional systems
• Single-particle Analysis of Non-interacting Ultracold Bosons in Amplitude Modulated Parabolic Optical Lattice
• Dynamics of fermions in an amplitude modulated lattice

Cited by in corpus (3)

• Emission of particles from a parametrically driven condensate in a one-dimensional lattice
• Loading ultracold atoms onto nonlinear Bloch states and soliton states in bichromatic lattices
• Fast and selective inter-band transfer of ultracold atoms in bichromatic lattices permitting Dirac points