Laser radiation pressure on free atoms

Letokhov, V. S.; Minogin, V. G.

doi:10.1016/0370-1573(81)90116-2

Cited by 176 publications

(49 citation statements)

References 48 publications

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“…Namely, it is assumed that the diagonal and off-diagonal elements of the 2 × 2 density matrix of a fixed atom relax to their equilibrium values with the rates γ and γ/2, respectively. When atom is in free space, its density matrix depends additionally on the position z of the atom and, in general case, the resulting master equation has a rather complicated form [11,12]. This equation can be considerably simplified in the limit of large detuning δ ≫ Ω (here Ω and δ are Rabi frequency and detuning from the atomic resonance).…”

Section: The Model and Approachmentioning

confidence: 99%

“…The distribution P (u) of a random variable u in Eq. (1) is defined by the angle distribution for the momentumhk L =hk L n of the spontaneously emitted photons, which in the case of linearly polarized light is given by Φ(n) = (3/8π)[1 − (n · e) 2 ] [11]. Note that equation (1) has the Lindblad form and, thus, Tr[ρ(t)] = dzρ(z, z, t) = 1.…”

Section: The Model and Approachmentioning

confidence: 99%

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Damped Bloch oscillations of cold atoms in optical lattices

2002

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The paper studies Bloch oscillations of cold neutral atoms in the optical lattice. The effect of spontaneous emission on the dynamics of the system is analyzed both analytically and numerically. The spontaneous emission is shown to cause (i) the decay of Bloch oscillations with the decrement given by the rate of spontaneous emission and (ii) the diffusive spreading of the atoms with a diffusion coefficient depending on both the rate of spontaneous emission and the Bloch frequency.

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Section: The Model and Approachmentioning

confidence: 99%

Section: The Model and Approachmentioning

confidence: 99%

Damped Bloch oscillations of cold atoms in optical lattices

2002

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“…Eq. (10) shows that for δĒ = 0, S 0 = 1 when (4/π ) ∞ 0 Γ(E)dE = γ 2 . Note that Γ(E) is proportional to laser intensity.…”

Section: The Theoretical Methodsmentioning

confidence: 97%

“…The internal degrees-of-freedom, such as the electronic configuration or the spin polarization of atoms can be manipulated using circularly polarized resonant light as demonstrated by Kastler [8] more than 60 years ago. The external degrees-of-freedom such as the position and momentum of atoms can be controlled using radiative forces [9][10][11][12][13]. Dispersive forces, also called dipole forces arise due to position-dependent light shifts, leading to optically generated lattice for trapping atoms in an ordered array.…”

Section: Introductionmentioning

confidence: 99%

Photoassociative cooling and trapping of a pair of interacting atoms

2016

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We show that it is possible to cool interacting pairs of atoms by a lin ⊥ lin Sisyphus-like laser cooling scheme using counter-propagating photoassociation (PA) lasers. It is shown that the center-of-mass motion (c.m.) of atom pairs can be trapped in molecular spin-dependent periodic potentials generated by the lasers.The proposed scheme is most effective for narrow-line PA transitions. We illustrate this with numerical calculations using fermionic 171 Yb atoms as an example.

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“…Such principles can be extended to nanoscale objects such as atoms. [1][2][3] When a laser beam has a structure that is endowed with orbital angular momentum, as for example with the well-studied Laguerre-Gaussian 'twisted' modes, there is in addition an optically induced torque that leads to a rotational motion of the atoms about the beam axis. [4][5][6][7][8][9][10] This torque has been the subject of several investigations over the last decade or so.…”

Section: Introductionmentioning

confidence: 99%

Transient optical angular momentum effects and atom trapping in multiple twisted beams

et al. 2006

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Theoretical work has already established the existence of a light-induced torque acting on the centre of mass of an atom, ion or molecule immersed in twisted light, where the transition frequency is suitably detuned from that of the twisted light beam. The twisted beam carries l units of orbital angular momentum per photon, and the steady-state saturation form of the torque is also determined by the width of the upper state in the atomic transition. It has been shown that, to leading order, the transfer of orbital angular momentum can only occur between the twisted light and the centre of mass motion. We argue here that, for small linewidth, the full time-dependence of the torque is needed to account correctly for the dynamics of atoms in a twisted light beam. We outline the theoretical framework needed to derive this full timedependence, applying the theory to the motion in a twisted light beam of Eu 3+ ions, which possess a particularly narrow linewidth state. For relatively large linewidth, the steady-state forces and torque are appropriate, but the processes of cooling and trapping require the application of several suitably oriented twisted beams. The description of atomic motion in multiple twisted beams demands the application of special coordinate transformations. We show how to construct the appropriate transformation matrices to represent a twisted light beam propagating in an arbitrary direction, and we proceed to investigate the cooling and trapping of Mg + ions in sets of pairs of counter-propagating twisted beams in two-dimensional and three-dimensional molasses configurations.

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Laser radiation pressure on free atoms

Cited by 176 publications

References 48 publications

Damped Bloch oscillations of cold atoms in optical lattices

Damped Bloch oscillations of cold atoms in optical lattices

Photoassociative cooling and trapping of a pair of interacting atoms

Transient optical angular momentum effects and atom trapping in multiple twisted beams

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