Phase matching refers to a process in which atom-field interactions lead to the creation of an output field that propagates coherently through the interaction volume. By studying light scattering from arrays of cold atoms, we show that conditions for phase matching change as the dimensionality of the system decreases. In particular, for a single atomic chain, there is phase-matched reflective scattering in a cone about the symmetry axis of the array that scales as the square of the number of atoms in the chain. For two chains of atoms, the phase-matched reflective scattering can be enhanced or diminished as a result of Bragg scattering. Such scattering can be used for mapping collective states within an array of neutral atoms onto propagating light fields and for establishing quantum links between separated arrays.Phase matching refers to a process in which atom-field interactions lead to the creation of an output field that propagates coherently through the interaction volume. By studying light scattering from arrays of cold atoms, we show that conditions for phase matching change as the dimensionality of the system decreases. In particular, for a single atomic chain, there is phase-matched reflective scattering in a cone about the symmetry axis of the array that scales as the square of the number of atoms in the chain. For two chains of atoms, the phase-matched reflective scattering can be enhanced or diminished as a result of Bragg scattering. Such scattering can be used for mapping collective states within an array of neutral atoms onto propagating light fields and for establishing quantum links between separated arrays.

Physical Review LettersOct 13, 202011 citations

Scattering from assemblies of atoms

JOHN M. COWLEY

Elsevier eBooksJan 1, 19951 citation

Interference phenomena in atomic scattering

Evgeniĭ E. Nikitin, M. Ya. Ovchinnikova

Uspekhi Fizicheskih NaukJan 1, 197120 citations

Optical coherence transfer in atom arrays

P. R. Berman, A. Kuzmich

A $J=0$ to $J=1$ to $J=0$ ladder scheme can be used as a prototype for probing optical coherence transfer in an atom array. Two incident ${\ensuremath{\sigma}}_{\ensuremath{-}}$ polarized fields drive transitions from the ground state to the intermediate state and the intermediate state to the uppermost state in the atoms. The uppermost state is taken to be a long-lived Rydberg level. In the absence of any atom-atom interactions, excitation to the Rydberg level is not allowed, owing to the selection rules. However, dipole-dipole interactions can provide a transfer of the state amplitude associated with the $m=\ensuremath{-}1$ sublevel in one atom to the $m=+1$ sublevel in another atom. The overall process of field excitation and optical coherence transfer can then lead to an excitation of the Rydberg level. One can then apply a readout pulse to obtain phase-matched emission from the array. For a linear array of atoms, the phase-matched signal can increase more rapidly than ${N}^{2}$ , where $N$ is the number of atoms in the array. For arrays that are invariant under a rotation $\ensuremath{\delta}\ensuremath{\phi}<\ensuremath{\pi}$ about the $z$ axis, however, it turns out that the total field intensity vanishes identically in the phase-matched direction. For such arrays, the Rydberg state population can serve as a measure of the optical coherence transfer.A $J=0$ to $J=1$ to $J=0$ ladder scheme can be used as a prototype for probing optical coherence transfer in an atom array. Two incident ${\ensuremath{\sigma}}_{\ensuremath{-}}$ polarized fields drive transitions from the ground state to the intermediate state and the intermediate state to the uppermost state in the atoms. The uppermost state is taken to be a long-lived Rydberg level. In the absence of any atom-atom interactions, excitation to the Rydberg level is not allowed, owing to the selection rules. However, dipole-dipole interactions can provide a transfer of the state amplitude associated with the $m=\ensuremath{-}1$ sublevel in one atom to the $m=+1$ sublevel in another atom. The overall process of field excitation and optical coherence transfer can then lead to an excitation of the Rydberg level. One can then apply a readout pulse to obtain phase-matched emission from the array. For a linear array of atoms, the phase-matched signal can increase more rapidly than ${N}^{2}$, where $N$ is the number of atoms in the array. For arrays that are invariant under a rotation $\ensuremath{\delta}\ensuremath{\phi}<\ensuremath{\pi}$ about the $z$ axis, however, it turns out that the total field intensity vanishes identically in the phase-matched direction. For such arrays, the Rydberg state population can serve as a measure of the optical coherence transfer.

Physical Review ASep 5, 20240 citations

Matter-wave scattering and guiding by atomic arrays

J. Y. Vaishnav, Jamie D. Walls, M. Apratim +1 more

We investigate the possibility that linear arrays of atoms can guide matter waves, much as fiber optics guide light. We model the atomic line as a quasi-one-dimensional array of $s$ -wave point scatterers embedded in two-dimensions. Our theoretical study reveals how matter-wave guiding arises from the interplay of scattering phenomena with bands and conduction along the array. We discuss the conditions under which a straight or curved array of atoms can guide a beam focused at one end of the array.We investigate the possibility that linear arrays of atoms can guide matter waves, much as fiber optics guide light. We model the atomic line as a quasi-one-dimensional array of $s$-wave point scatterers embedded in two-dimensions. Our theoretical study reveals how matter-wave guiding arises from the interplay of scattering phenomena with bands and conduction along the array. We discuss the conditions under which a straight or curved array of atoms can guide a beam focused at one end of the array.

arXiv:cond-mat/0703171Physical Review AJul 19, 200718 citations

J=0

J=1

J=0

ladder scheme can be used as a prototype for probing optical coherence transfer in an atom array. Two incident ${\ensuremath{\sigma}}_{\ensuremath{-}}$ polarized fields drive transitions from the ground state to the intermediate state and the intermediate state to the uppermost state in the atoms. The uppermost state is taken to be a long-lived Rydberg level. In the absence of any atom-atom interactions, excitation to the Rydberg level is not allowed, owing to the selection rules. However, dipole-dipole interactions can provide a transfer of the state amplitude associated with the $m=\ensuremath{-}1$ sublevel in one atom to the

m=+1

sublevel in another atom. The overall process of field excitation and optical coherence transfer can then lead to an excitation of the Rydberg level. One can then apply a readout pulse to obtain phase-matched emission from the array. For a linear array of atoms, the phase-matched signal can increase more rapidly than

{N}^{2}

, where

N

is the number of atoms in the array. For arrays that are invariant under a rotation $\ensuremath{\delta}\ensuremath{\phi}<\ensuremath{\pi}$ about the

z

axis, however, it turns out that the total field intensity vanishes identically in the phase-matched direction. For such arrays, the Rydberg state population can serve as a measure of the optical coherence transfer.

We investigate the possibility that linear arrays of atoms can guide matter waves, much as fiber optics guide light. We model the atomic line as a quasi-one-dimensional array of

s

-wave point scatterers embedded in two-dimensions. Our theoretical study reveals how matter-wave guiding arises from the interplay of scattering phenomena with bands and conduction along the array. We discuss the conditions under which a straight or curved array of atoms can guide a beam focused at one end of the array.