Nonlinear control of chaotic walking of atoms in an optical lattice

Argonov, V. Yu.; Prants, S. V.

doi:10.1209/0295-5075/81/24003

Cited by 9 publications

(3 citation statements)

References 19 publications

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“…However, we have to account for mechanismes of decoherence which are relevant for ultracold atoms, like optical lattice amplitude noise [9,10] or spontaneous emission [11][12][13].…”

Section: Introductionmentioning

confidence: 99%

“…This breakthrough is mainly conditioned by high degree of atom state controllability, allowing for reduced undesirable concomitant factors which lead to fast decoherence of quantum states in solid-state experiments. However, we have to account for mechanisms of decoherence which are relevant for ultracold atoms, like optical lattice amplitude noise [9,10] or spontaneous emission [11][12][13].…”

Section: Introductionmentioning

confidence: 99%

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Zitterbewegung with spin–orbit coupled ultracold atoms in a fluctuating optical lattice

Argonov¹,

Макаров²

2016

J. Phys. B: At. Mol. Opt. Phys.

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Dynamics of non-interacting ultracold atoms with artificial spin-orbit coupling is considered. Spin-orbit coupling is created using two moving optical lattices with orthogonal polarizations. Our main goal is to study influence of lattice noise on Rabi oscillations. Special attention is paid to the phenomenon of the Zitterbewegung being trembling motion caused by Rabi transitions between states with different velocities. Phase and amplitude fluctuations of lattices are modelled by means of the two-dimensional stochastic Ornstein-Uhlenbeck process, also known as harmonic noise. In the the noiseless case the problem is solved analytically in terms of the momentum representation. It is shown that lattice noise significantly extends duration of the Zitterbewegung as compared to the noiseless case. This effect originates from noise-induced decoherence of Rabi oscillations.

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“…However, we have to account for mechanismes of decoherence which are relevant for ultracold atoms, like optical lattice amplitude noise [9,10] or spontaneous emission [11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Zitterbewegung with spin–orbit coupled ultracold atoms in a fluctuating optical lattice

Argonov¹,

Макаров²

2016

J. Phys. B: At. Mol. Opt. Phys.

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“…Neutral atoms trapped in optical lattices have emerged as a rich platform for exploring a wide variety of phenomena and devices based on coherent quantum dynamics. Examples include quantum computers [1,2,3,4], quantum simulators of condensed matter [5,6], topological quantum field theory [7,8], and quantum chaotic dynamics [9,10,11]. An essential ingredient in these systems is the coherent control of atomic transport in the lattice.…”

Section: Introductionmentioning

confidence: 99%

Coherent control of atomic transport in spinor optical lattices

Mischuck¹,

Deutsch²,

Jessen

2010

Phys. Rev. A

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Coherent transport of atoms trapped in an optical lattice can be controlled by microwave-induced spin flips that correlate with site-to-site hopping. We study the controllability of homogeneous one-dimensional systems of noninteracting atoms in the absence of site addressability. Given these restrictions, we construct a deterministic protocol to map an initially localized Wannier state to a wave packet that that is coherently distributed over n sites. This is extended to analytic solutions for arbitrary unitary maps given homogenous systems and in the presence of time-dependent uniform forces. Such control is important for applications in quantum information processing such as quantum computing and quantum simulations of condensed matter phenomena.

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Chaotic walking and fractal scattering of atoms in a tilted optical lattice

Prants

Vitkovsky

2012

J Russ Laser Res

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Chaotic walking of cold atoms in a tilted optical lattice, created by two counter propagating running waves with an additional external field, is demonstrated theoretically and numerically in the semiclassical and Hamiltonian approximations. The effect consists in random-like changing the direction of atomic motion in a rigid lattice under the influence of a constant force due to a specific behavior of the atomic dipole-moment component that changes abruptly in a random-like manner while atoms cross standing-wave nodes. Chaotic walking generates a fractal-like scattering of atoms that manifests itself in a self-similar structure of the scattering function in the atom-field detuning, position and momentum spaces. The probability distribution function of the scattering time is shown to decay in a non-exponential way with a power-law tail.

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Nonlinear control of chaotic walking of atoms in an optical lattice

Cited by 9 publications

References 19 publications

Zitterbewegung with spin–orbit coupled ultracold atoms in a fluctuating optical lattice

Zitterbewegung with spin–orbit coupled ultracold atoms in a fluctuating optical lattice

Coherent control of atomic transport in spinor optical lattices

Chaotic walking and fractal scattering of atoms in a tilted optical lattice

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