Controllable 3D atomic Brownian motor in optical lattices

Dion, Claude M.; Sjölund, Peder; Petra, S.J.H.; Jonsell, Svante; Nylén, Mats; Sanchez-Palencia, Laurent; Kastberg, Anders

doi:10.1140/epjst/e2008-00688-8

Cited by 4 publications

(6 citation statements)

References 38 publications

(60 reference statements)

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“…The measured periodicity of the temperature also confirms that the diabatic potentials are the relevant potentials in the system, as shown in [14]. The two potentials in the classical simulations are therefore chosen as the two lowest diabatic potentials of the two state-dependent potentials of the DOL used in the experiment [17]. The simulation qualitatively reproduces the main features of our BM although it is based on a classical model.…”

supporting

confidence: 64%

“…To qualitatively understand the induced drift dependence on the relative spatial phase, a simple classical model is used [17,18], see figure 1. Consider a classical Brownian particle situated in either of two symmetric and periodic potentials (U A and U B ), coupled with unequal transfer rates (γ A→B and γ B→A ).…”

mentioning

confidence: 99%

“…In order to understand the qualitative behaviour of our Brownian motor, we have performed simulations, using a simplified, classical model of our system [17,18,25]. The two-dimensional numerical simulations are done for a classical Brownian particle situated in either of two potentials, corresponding to the lowest diabatic potential [15,17] of each lattice in a DOL configuration, identical to the one used in the experiments. The dynamics of the atom is obtained from the Fokker-Planck equation [26,27].…”

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confidence: 99%

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Influence of the lattice topography on a three-dimensional, controllable Brownian motor

Hagman¹,

Dion²,

Sjölund³

et al. 2008

Europhys. Lett.

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We study the influence of the lattice topography and the coupling between motion in different directions, for a three-dimensional Brownian motor based on cold atoms in a double optical lattice. Due to controllable relative spatial phases between the lattices, our Brownian motor can induce drifts in arbitrary directions. Since the lattices couple the different directions, the relation between the phase shifts and the directionality of the induced drift is non trivial. Here is therefore this relation investigated experimentally by systematically varying the relative spatial phase in two dimensions, while monitoring the vertically induced drift and the temperature. A relative spatial phase range of 2π × 2π is covered. We show that a drift, controllable both in speed and direction, can be achieved, by varying the phase both parallel and perpendicular to the direction of the measured induced drift. The experimental results are qualitatively reproduced by numerical simulations of a simplified, classical model of the system.

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confidence: 64%

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confidence: 99%

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confidence: 99%

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Influence of the lattice topography on a three-dimensional, controllable Brownian motor

Hagman¹,

Dion²,

Sjölund³

et al. 2008

Europhys. Lett.

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“…Compared to the simulations in figure 12, the experimental results clearly deviate around ϕ = 0 and 2π both in x and z. This was also noticed in simulations using diabatic potential curves [31], which prompted us to use adiabatic curves in the present study. It is now clear that the discrepancy is not due to the shape of the potential, which calls for simulations where a more realistic model is used to approach the physical system at hand.…”

Section: Numerical Simulationsmentioning

confidence: 53%

Characterisation of a three-dimensional Brownian motor in optical lattices

et al. 2007

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We present here a detailed study of the behaviour of a three dimensional Brownian motor based on cold atoms in a double optical lattice [P. Sjölund et al., Phys. Rev. Lett. 96, 190602 (2006)]. This includes both experiments and numerical simulations of a Brownian particle. The potentials used are spatially and temporally symmetric, but combined spatiotemporal symmetry is broken by phase shifts and asymmetric transfer rates between potentials. The diffusion of atoms in the optical lattices is rectified and controlled both in direction and speed along three dimensions. We explore a large range of experimental parameters, where irradiances and detunings of the optical lattice lights are varied within the dissipative regime. Induced drift velocities in the order of one atomic recoil velocity have been achieved.PACS. 32.80.Lg Mechanical effects of light on atoms, molecules, and ions -05.40.Jc Brownian motion -32.80.Pj Optical cooling of atoms; trapping arXiv:0704.3955v1 [physics.atom-ph]

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“…We show in figure 3 the dependence of the average transport velocity on the relative spatial phase for the model described above with Γ 1→2 = 10Γ 2→1 = 1. We point out that it is this case (unequal transfer rates and random transfer times) that was assumed to most closely resemble the experimental implementation with cold caesium atoms [18,19,20,21], and was thus the only case studied theoretically in previous work [17,19,20,25].…”

Section: Directed Transport With Asymmetric Transfer Ratesmentioning

confidence: 93%

Breaking the symmetry of a Brownian motor with symmetric potentials

Hagman¹,

Zelán²,

Dion³

2011

J. Phys. A: Math. Theor.

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The directed transport of Brownian particles requires a system with an asymmetry and with non-equilibrium noise.We here investigate numerically alternative ways of fulfilling these requirements for a two-state Brownian motor, realised with Brownian particles alternating between two phaseshifted, symmetric potentials. We show that, besides the previously known spatiotemporal asymmetry based on unequal transfer rates between the potentials, inequalities in the potential depths, the frictions, or the equilibrium temperatures of the two potentials also generate the required asymmetry. We also show that the effects of the thermal noise and the noise of the transfer's randomness depend on the way the asymmetry is induced.

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Controllable 3D atomic Brownian motor in optical lattices

Cited by 4 publications

References 38 publications

Influence of the lattice topography on a three-dimensional, controllable Brownian motor

Influence of the lattice topography on a three-dimensional, controllable Brownian motor

Characterisation of a three-dimensional Brownian motor in optical lattices

Breaking the symmetry of a Brownian motor with symmetric potentials

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