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Collisions between tightly confined atoms can lead to ionization and hence to loss of atoms from the trap. We develop second-order perturbation theory for a tensorial perturbation of a spherically symmetric system and the theory is then…

Atomic Physics · Physics 2009-11-10 T J Beams , G Peach , I B Whittingham

In this article we formulate frictionless atom cooling in harmonic traps as a time-optimal control problem, permitting imaginary values of the trap frequency for trasient time intervals during which the trap becomes an expulsive parabolic…

Quantum Physics · Physics 2015-05-20 Dionisis Stefanatos , Justin Ruths , Jr-Shin Li

Dynamics of an atomic wavepacket in an optical superlattice is considered. We propose a simple scheme of wavepacket localization near the minima of the optical potential. In our approach, a wavelike perturbation caused by an additional…

Chaotic Dynamics · Physics 2013-10-02 D. V. Makarov , M. Yu. Uleysky , S. V. Prants

This letter investigates dynamical optimal transport of underactuated linear systems over an infinite time horizon. In our previous work, we proposed to integrate model predictive control and the celebrated Sinkhorn algorithm to perform…

Optimization and Control · Mathematics 2023-08-16 Kaito Ito , Kenji Kashima

We investigate the performance of different control techniques for ion transport in state-of-the-art segmented miniaturized ion traps. We employ numerical optimization of classical trajectories and quantum wavepacket propagation as well as…

We study thermal transport in a chain of coupled atoms, which can vibrate in longitudinal as well as transverse directions. The particles interact through anharmonic potentials upto cubic order. The problem is treated quantum mechanically.…

Statistical Mechanics · Physics 2010-04-19 Santhosh G , Deepak Kumar

We present an optimal control procedure for the non-adiabatic transport of ultracold neutral thermal atoms in optical tweezers arranged in a one-dimensional array, with focus on reaching minimal transfer time. The particle dynamics are…

Quantum Physics · Physics 2025-12-22 Omar Morandi , Sara Nicoletti , Vladislav Gavryusev , Leonardo Fallani

We report our method for transporting ultracold atoms over macroscopic distances and trapping them back in a vertical mixed trap, consisting of the superposition of a vertical lattice and a transverse confinement beam. The transport is…

Atomic Physics · Physics 2023-07-26 Luc Absil , Yann Balland , Franck Pereira dos Santos

In the field of optimal transport, two prominent subfields face each other: (i) unregularized optimal transport, "\`a-la-Kantorovich", which leads to extremely sparse plans but with algorithms that scale poorly, and (ii)…

Machine Learning · Computer Science 2024-02-19 Ehsan Amid , Frank Nielsen , Richard Nock , Manfred K. Warmuth

Coherent transport by adiabatic passage has recently been suggested as a high-fidelity technique to engineer the centre-of-mass state of single atoms in inhomogenous environments. While the basic theory behind this process is well…

Quantum Physics · Physics 2015-03-19 T. Morgan , B. O'Sullivan , Th. Busch

We theoretically and experimentally examine the effects of anharmonic terms in the trapping potential for linear chains of trapped ions. We concentrate on two different effects that become significant at different levels of anharmonicity.…

Quantum Physics · Physics 2015-05-28 J. P. Home , D. Hanneke , J. D. Jost , D. Leibfried , D. J. Wineland

We theoretically investigate the motional excitation of a single ion caused by spring-constant and position uctuations of a harmonic trap during trap shuttling processes. A detailed study of the sensitivity on noise for several transport…

Quantum Physics · Physics 2016-11-02 Xiao-Jing Lu , J. G. Muga , Xi Chen , U. G. Poschinger , F. Schmidt-Kaler , A. Ruschhaupt

We propose an ensemble theory for the non-equilibrium statistics to study the thermal transport in anharmonic crystals. In the theory, lattice vibrations of the crystals are quantized by local Bosons(LBs), instead of Phonons as usually used…

Statistical Mechanics · Physics 2023-12-15 Li Wan

By means of optimal control techniques we model and optimize the manipulation of the external quantum state (center-of-mass motion) of atoms trapped in adjustable optical potentials. We consider in detail the cases of both non interacting…

We inverse engineer fast rotations of a linear trap with two ions for a predetermined rotation angle and time, avoiding final excitation. Different approaches are analyzed and compared when the ions are of the same species or of different…

Quantum Physics · Physics 2021-06-18 Ander Tobalina , Juan Gonzalo Muga , Ion Lizuain , Mikel Palmero

Controlling energy transfer through vibronic resonance is an interesting possibility. Exact treatment of non-adiabatic vibronic coupling is necessary to fully capture its role in driving energy transfer. However, exact treatment of…

Chemical Physics · Physics 2024-06-19 Sanjoy Patra , Amitav Sahu , Vivek Tiwari

Two-dimensional arrays of optical micro-traps created by microoptical elements present a versatile and scalable architecture for neutral atom quantum information processing, quantum simulation, and the manipulation of ultra-cold quantum…

As a limiting case of ultracold atoms trapped in deep optical lattices, we consider two interacting atoms trapped in a general anisotropic harmonic oscillator potential, and obtain exact solutions of the Schrodinger equation for this…

Superconductivity · Physics 2009-11-13 Jun-Jun Liang , Chao Zhang

Optimization of low-thrust trajectories that involve a larger number of orbit revolutions is considered a challenging problem. This paper describes a high-precision symplectic method and optimization techniques to solve the minimum-energy…

Space Physics · Physics 2019-09-19 Zhibo E , Davide Guzzetti

We have experimentally observed re-equilibration of a magnetically trapped cloud of metastable neon atoms after it was put in a non-equilibrium state. Using numerical simulations we show that anharmonic mixing, equilibration due to the…