Fourier synthesis of optical potentials for atomic quantum gases

Ritt, Gunnar; Geckeler, Carsten; Salger, Tobias; Cennini, Giovanni; Weitz, Martin

doi:10.1103/physreva.74.063622

Cited by 101 publications

(110 citation statements)

References 22 publications

(23 reference statements)

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“…This also means that TR for the QKR can be conveniently broken by breaking space inversion, in which case the system falls into the unitary class. Following [59], this can be done by replacing the kick potential V kick (x) = cos x in (2) by a bichromatic superlattice [60,61] …”

Section: Orthogonal and Unitary Classmentioning

confidence: 99%

Coherent backscattering and forward-scattering peaks in the quantum kicked rotor

et al. 2017

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Abstract. We propose and analyze an experimental scheme using the quantum kicked rotor to observe the newly-predicted coherent forward scattering peak together with its long-known twin brother, the coherent backscattering peak. Contrary to coherent backscattering, which arises already under weak-localization conditions, coherent forward scattering is only triggered by Anderson or strong localization. So far, coherent forward scattering has not been observed in conservative systems with elastic scattering by spatial disorder. We propose to turn to the quantum kicked rotor, which has a long and succesful history as an accurate experimental platform to observe dynamical localization, i.e., Anderson localization in momentum space. We analyze the coherent forward scattering effect for the quantum kicked rotor by extensive numerical simulations, both in the orthogonal and unitary class of disordered quantum systems, and show that an experimental realization involving phase-space rotation techniques is within reach of state-of-the-art cold-atom experiments.arXiv:1612.02091v1 [cond-mat.quant-gas] 7 Dec 2016Coherent back and forward scattering peaks in the quantum kicked rotor 2

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Section: Orthogonal and Unitary Classmentioning

confidence: 99%

Coherent backscattering and forward-scattering peaks in the quantum kicked rotor

et al. 2017

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“…Here the noise and particularly the dissipation are absent, thereby allowing these systems to preserve their full coherence. Hamitonian ratchets owe their merit to the first experimental realization of the quantum ratchet potential [16,17] which has been a very good motivation for more theoretical as well as experimental works. In this context, higher order quantum resonances (a regime of very fast and directed transport) have been found with atoms [18], and directed transport of atoms has quite recently been experimentally achieved [19].…”

mentioning

confidence: 99%

Current reversals and synchronization in coupled ratchets

et al. 2010

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Current reversal is an intriguing phenomenon that has been central to recent experimental and theoretical investigations of transport based on ratchet mechanism. By considering a system of two interacting ratchets, we demonstrate how the coupling can be used to control the reversals. In particular, we find that current reversal that exists in a single driven ratchet system can ultimately be eliminated with the presence of a second ratchet. For specific coupling strengths a currentreversal free regime has been detected. Furthermore, in the fully synchronized state characterized by the coupling threshold k th , a specific driving amplitude aopt is found for which the transport is optimum. Transport phenomena and, particularly, directed transport occur in many situations ranging from physical systems to chemical and biological systems. Some recent research interest in transport problems is related to ratchet physics where unbiased, noise-induced transport occurs away from thermal equilibrium as a result of the action of Brownian motors [1][2][3]. Brownian motors, especially "ratchet" models, have been widely investigated partly due to the challenge to describe and control mechanisms of fundamental biological processes at both the cell level (e.g. transport in ion channels) and body level (muscle operations) [4]. Another motivation is derived from recent advances in technology wherein devices for guiding tiny particles on nano/micro scales are sought; these include particle separation techniques, smoothing of atomic surfaces during electromigration and control of the motion of vortices in superconductors [2,5]. Remarkably, experimental realizations of some of these practical systems have been reported [6][7][8].In this framework, two basic types of ratchet models have commonly been employed, namely: (i) the rocking ratchet, in which the particle is subject to an unbiased external force with or without additive noise, and (ii) the flashing ratchet, in which the particle is periodically kicked. The vast majority of these models are overdamped where the noise plays a vital role in the transport process. However, recent studies have shown that the role of noise can be replaced by deterministic chaos induced by the inertial term [9]. In such inertial ratchets, the issue of current reversal has been carefully investigated [10][11][12][13][14]. Moreover, Hamiltonian ratchets have re- * Corresponding author: u.vincent@tu-clausthal.de cently seen a breakthrough in the ratchet community [15]. Here the noise and particularly the dissipation are absent, thereby allowing these systems to preserve their full coherence. Hamitonian ratchets owe their merit to the first experimental realization of the quantum ratchet potential [16,17] which has been a very good motivation for more theoretical as well as experimental works. In this context, higher order quantum resonances (a regime of very fast and directed transport) have been found with atoms [18], and directed transport of atoms has quite recently been experimentally achieved [19]...

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“…Moreover, Raman transitions between different ground state spin projections become possible with e.g. Nd:YAG laser fields, which can allow for a Fourier-synthesis of in principle arbitrarily shaped lattice potentials using the technique of multiphoton lattices [11,12]. This has prospects for novel quantum phase transitions in e.g.…”

Section: Introductionmentioning

confidence: 99%

Doppler-free frequency-modulation spectroscopy of atomic erbium in a hollow-cathode discharge cell

et al. 2011

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The erbium atomic system is a promising candidate for an atomic Bose-Einstein condensate of atoms with a non-vanishing orbital angular momentum (L = 0) of the electronic ground state. In this paper we report on the frequency stabilization of a blue external cavity diode laser system on the 400.91 nm laser cooling transition of atomic erbium. Doppler-free saturation spectroscopy is applied within a hollow cathode discharge tube to the corresponding electronic transition of several of the erbium isotopes. Using the technique of frequency modulation spectroscopy, a zero-crossing error signal is produced to lock the diode laser frequency on the atomic erbium resonance. The latter is taken as a reference laser to which a second main laser system, used for laser cooling of atomic erbium, is frequency stabilized.

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Fourier synthesis of optical potentials for atomic quantum gases

Cited by 101 publications

References 22 publications

Coherent backscattering and forward-scattering peaks in the quantum kicked rotor

Coherent backscattering and forward-scattering peaks in the quantum kicked rotor

Current reversals and synchronization in coupled ratchets

Doppler-free frequency-modulation spectroscopy of atomic erbium in a hollow-cathode discharge cell

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