Erratum: Atomic Landau-Zener Tunneling in Fourier-Synthesized Optical Lattices [Phys. Rev. Lett.<b>99</b>, 190405 (2007)]

Salger, Tobias; Geckeler, Carsten; Kling, Sebastian; Weitz, Martin

doi:10.1103/physrevlett.106.129903

Cited by 53 publications

(89 citation statements)

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“…Its implementation is based on the miniband structure, which can be easily engineered using a double period one-dimensional lattice [46,47]. A standard procedure for controlling, i.e., the Stark force, is by accelerating the lattice structure by shifting the frequencies of two counter-propagating waves that generate the optical potential [8,24,46,48].…”

Section: Discussionmentioning

confidence: 99%

Two-band Bose-Hubbard model for many-body resonant tunneling in the Wannier-Stark system

2013

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We study an experimentally realizable paradigm of complex many-body quantum systems, a two-band Wannier-Stark model, for which diffusion in Hilbert space as well as many-body LandauZener processes can be engineered. A cross-over between regular to quantum chaotic spectra is found within the many-body avoided crossings at resonant tunneling conditions. The spectral properties are shown to determine the evolution of states across a cascade of Landau-Zener events. We apply the obtained spectral information to study the non-equilibrium dynamics of our many-body system in different parameter regimes.

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Section: Discussionmentioning

confidence: 99%

Two-band Bose-Hubbard model for many-body resonant tunneling in the Wannier-Stark system

2013

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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].…”

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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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Erratum: Atomic Landau-Zener Tunneling in Fourier-Synthesized Optical Lattices [Phys. Rev. Lett.99, 190405 (2007)]

Cited by 53 publications

References 1 publication

Two-band Bose-Hubbard model for many-body resonant tunneling in the Wannier-Stark system

Two-band Bose-Hubbard model for many-body resonant tunneling in the Wannier-Stark system

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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