TY - JOUR

T1 - Atomic wave packet dynamics in finite time-dependent optical lattices

AU - Lauber, T.

AU - Massignan, P.

AU - Birkl, G.

AU - Sanpera, A.

PY - 2011/3/28

Y1 - 2011/3/28

N2 - Atomic wave packets in optical lattices which are both spatially finite and time dependent exhibit many striking similarities with light pulses in photonic crystals. We analytically characterize the transmission properties of such a potential geometry for an ideal gas in terms of a position-dependent band structure. In particular, we find that at specific energies, wave packets at the centre of the finite lattice may be enclosed by pairs of band gaps. These act as mirrors between which the atomic wave packet is reflected, thereby effectively yielding a matter wave cavity. We show that long trapping times may be obtained in such a resonator and investigate the collapse and revival dynamics of the atomic wave packet by numerical evaluation of the Schrödinger equation. © 2011 IOP Publishing Ltd.

AB - Atomic wave packets in optical lattices which are both spatially finite and time dependent exhibit many striking similarities with light pulses in photonic crystals. We analytically characterize the transmission properties of such a potential geometry for an ideal gas in terms of a position-dependent band structure. In particular, we find that at specific energies, wave packets at the centre of the finite lattice may be enclosed by pairs of band gaps. These act as mirrors between which the atomic wave packet is reflected, thereby effectively yielding a matter wave cavity. We show that long trapping times may be obtained in such a resonator and investigate the collapse and revival dynamics of the atomic wave packet by numerical evaluation of the Schrödinger equation. © 2011 IOP Publishing Ltd.

U2 - 10.1088/0953-4075/44/6/065301

DO - 10.1088/0953-4075/44/6/065301

M3 - Article

VL - 44

JO - Journal of Physics B: Atomic, Molecular and Optical Physics

JF - Journal of Physics B: Atomic, Molecular and Optical Physics

SN - 0953-4075

IS - 6

M1 - 065301

ER -