Diffraction of a Released Bose-Einstein Condensate by a Pulsed Standing Light Wave

Ovchinnikov, Yu. N.; Müller, J. H.; Doery, M. R.; Vredenbregt, E.J.D.; Helmerson, Kristian; Rolston, S. L.; Phillips, William D.

doi:10.1103/physrevlett.83.284

Cited by 180 publications

(149 citation statements)

References 21 publications

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“…One concern is that, due to the temporal fluctuations of the intra-cavity photon number and hence the fluctuations of the intra-cavity optical lattice, some atoms may be diffracted into higher momentum modes [29] (this effect is sacrificed artificially here because of the two-mode approximation we adopt). However, thanks to the fact that the mean intra-cavity photon number here is very low (on the order of 0.01, see [28]), the strength of the fluctuations of the optical lattice is small, so that this effect may be negligible.…”

mentioning

confidence: 99%

Mean-field dynamics of a Bose Josephson junction in an optical cavity

2008

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We study the mean-field dynamics of a Bose Josephson junction which is dispersively coupled to a single mode of a high-finesse optical cavity. An effective classical Hamiltonian for the Bose Josephson junction is derived and its dynamics is studied in the perspective of phase portrait. It is shown that the strong condensate-field coupling does alter the dynamics of the Bose Josephson junction drastically. The possibility of coherent manipulating and in situ observation of the dynamics of the Bose Josephson junction is discussed.

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confidence: 99%

Mean-field dynamics of a Bose Josephson junction in an optical cavity

2008

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“…A double-pass acoustic-optic modulator is used in each beam for switching the optical potential on and off. The pulse length is 796 ns, which is much less than the minimum classical oscillation period of 130 µs, so that the kicking potential is well described as a thin phase grating [25]. Following the kicks the momentum distribution is determined from a time-of-flight absorption image after a free expansion period of 29 ms by which time the momentum components have separated.…”

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confidence: 99%

Nonlinear atom-opticalδ-kicked harmonic oscillator using a Bose-Einstein condensate

et al. 2004

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We experimentally investigate the atom-optical delta-kicked harmonic oscillator for the case of nonlinearity due to collisional interactions present in a Bose-Einstein condensate. A Bose condensate of rubidium atoms tightly confined in a static harmonic magnetic trap is exposed to a one-dimensional optical standing-wave potential that is pulsed on periodically. We focus on the quantum anti-resonance case for which the classical periodic behavior is simple and well understood. We show that after a small number of kicks the dynamics is dominated by dephasing of matter wave interference due to the finite width of the condensate's initial momentum distribution.In addition, we demonstrate that the nonlinear mean-field interaction in a typical harmonically confined Bose condensate is not sufficient to give rise to chaotic behavior. The delta-kicked rotor is an extensively investigated system in the field of classical chaos theory. During the last decade great progress has been achieved in understanding quantum dynamics of a classically chaotic system using atom-optical techniques and cold atoms. From an experimental point of view, cold atoms in optical potentials [1,2,3,4,5] provide an ideal environment to explore quantum dynamics. To date, all experimental work has focused on linear atomic systems, (see, for example, [6,7,8,9] and references therein) where the quantum dynamics is stable due to the linearity of the Schrödinger equation. In stark contrast to the chaotic behavior of classical dynamics, the linear quantum systems exhibit anti-resonance (periodic motion), dynamical localization (quasi-periodic motion) or resonant dynamics [10,11].Recently, theoretical investigations have considered how the nonlinearity due to many-body (collisional) interactions in a Bose-Einstein condensate modifies the behavior of the atom-optical kicked rotor system, providing a route to chaotic dynamics. Gardiner et al. developed a theoretical formalism to treat the one-dimensional nonlinear kicked harmonic oscillator (a particular manifestation of the generic delta-kicked rotor) using GrossPitaevskii and Liouville-type equations to describe the dynamics of a Bose-Einstein condensate, and estimated the growth rate in the number of non-condensate particles [12]. Zhang et al. investigated the generalized quantum kicked rotor by considering a periodically kicked Bose condensate confined in a ring potential for the case of quantum anti-resonance [13]. As opposed to the familiar periodic behavior exhibited by a corresponding linear system, they predicted quasi-periodic variation in energy for a weak interaction strength and chaotic behavior for strong interactions.In this work we investigate the nonlinear delta-kicked harmonic oscillator by performing experiments on BoseEinstein condensates in a harmonic potential. A Bose condensate of rubidium atoms tightly confined in a static harmonic magnetic trap is exposed to a periodically pulsed one-dimensional optical standing-wave potential. Our focus is on the particular case of quantum antireso...

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“…Kapitza-Dirac [14] and Bragg [15] scattering of Bose-Einstein condensates have also been demonstrated. These experiments were performed by exposing the nearly stationary atomic sources to a pulse of two intersecting laser beams which had a variable differential detuning ω.…”

Section: Light Scattering From Atomic Beams and Atoms At Restmentioning

confidence: 91%

“…The strength of the confining field could be easily modified by adjusting the currents through the magnetic trapping coils, allowing us to vary the peak condensate density in the range (0.5 -6) ×10 14 cm −3 and the radial half-width of the condensate (x c ) between 7 and 15 µm. The two laser beams used for Bragg scattering were derived from a common source, and had a detuning to the red of the 3S 1/2 , |F = 1 → 3P 3/2 , |F ′ = 0, 1, 2 optical transitions of about ∆ = 1.7 GHz (similar parameters were used for experiments at NIST, Gaithersburg [14,15,38,39]). A small frequency difference ω between the counter-propagating beams, on the order of 2π × 100 kHz, was introduced by using two independently-controlled acousto-optic modulators (AOM's) to control the frequency of two independent beams 2 .…”

Section: Experimental Aspects Of Bragg Spectroscopymentioning

confidence: 99%

Spinor Condensates and Light Scattering from Bose-Einstein Condensates

Stamper-Kurn¹,

Ketterle²

Les Houches - Ecole D’Ete De Physique Theorique

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Diffraction of a Released Bose-Einstein Condensate by a Pulsed Standing Light Wave

Cited by 180 publications

References 21 publications

Mean-field dynamics of a Bose Josephson junction in an optical cavity

Mean-field dynamics of a Bose Josephson junction in an optical cavity

Nonlinear atom-opticalδ-kicked harmonic oscillator using a Bose-Einstein condensate

Spinor Condensates and Light Scattering from Bose-Einstein Condensates

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