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We demonstrate a new feedback algorithm to cool a single neutral atom trapped inside a standing-wave optical cavity. The algorithm is based on parametric modulation of the confining potential at twice the natural oscillation frequency of…

Quantum Physics · Physics 2018-05-23 C. Sames , C. Hamsen , H. Chibani , P. A. Altin , T. Wilk , G. Rempe

I propose a method to remove the axial motional excitation from an ion qubit within a few oscillation periods of a harmonic trap. The principle is to prepare another coolant ion in its motional ground state, and then apply a phonon beam…

Quantum Physics · Physics 2014-12-10 Hoi-Kwan Lau

In this paper, optimal time control problems and optimal target control problems are studied for the approximately null-controllable heat equations. Compared with the existed results on these problems, the boundary of control variables are…

Optimization and Control · Mathematics 2017-03-03 Ning Chen , Yanqing Wang , Dong-Hui Yang

We study the stochastic dynamics of a particle in a periodically driven potential. For atomic ions trapped in radio-frequency Paul traps, noise heating and laser cooling typically act slowly in comparison with the unperturbed motion. These…

Atomic Physics · Physics 2019-05-17 A. Maitra , D. Leibfried , D. Ullmo , H. Landa

Cooling down a trapped ion into its motional ground state is a central step for trapped ions based quantum information processing. State of the art cooling schemes often work under a set of optimal cooling conditions derived analytically…

Quantum Physics · Physics 2021-10-12 Xie-Qian Li , Shuo Zhang , Jie Zhang , Wei Wu , Chu Guo , Ping-Xing Chen

A thermal analogue of the classical brachistochrone problem, which minimizes the connection time between two equilibrium states of harmonically confined Brownian particles, has recently been solved theoretically. Here we report its…

We design optimal trajectories to transport cold atoms in anharmonic traps, combining invariant-based inverse engineering, perturbation theory, and optimal control theory. The anharmonic perturbation energy is minimized constraining the…

Quantum Physics · Physics 2016-08-06 Qi Zhang , J. G. Muga , D. Guéry-Odelin , Xi Chen

Starting from a set of coupled Boltzmann equations, we investigate the thermalization of a two-species cold atomic gas confined either in a box or in an isotropic harmonic trap. We show that the thermalization times, by contrast to the…

Other Condensed Matter · Physics 2008-09-15 Marco Anderlini , David Guery-Odelin

We propose and analyze several schemes for cooling bosonic and fermionic atoms in an optical lattice potential close to the ground state of the no-tunnelling regime. Some of the protocols rely on the concept of algorithmic cooling, which…

Other Condensed Matter · Physics 2007-05-23 M. Popp , J. -J. Garcia-Ripoll , K. G. H. Vollbrecht , J. I. Cirac

We optimize a collision-induced cooling process for ultracold atoms in the nondegenerate regime. It makes use of a Feshbach resonance, instead of rf radiation in evaporative cooling, to selectively expel hot atoms from a trap. Using…

Quantum Gases · Physics 2015-04-29 Marlon Nuske , Eite Tiesinga , L. Mathey

We study feedback control of coupled nonlinear stochastic oscillators in a force field. We first consider the problem of asymptotically driving the system to a desired {\em steady state} corresponding to reduced thermal noise. Among the…

Mathematical Physics · Physics 2015-07-02 Yongxin Chen , Tryphon Georgiou , Michele Pavon

A system of bosons in a harmonic trap is cooled via their interactions with a thermal reservoir. We derive the master equation that governs the evolution of the system and may describe diverse physical situations: laser cooling, symphatetic…

Quantum Physics · Physics 2009-11-06 M. Lewenstein , J. I. Cirac , L. Santos

The overdamped Brownian dynamics of a harmonic oscillator is a paradigmatic system in non-equilibrium statistical mechanics, which reliably models relevant stochastic systems such as colloidal particles submitted to optical confinement. In…

Statistical Mechanics · Physics 2022-09-08 Antonio Patrón , Antonio Prados , Carlos A. Plata

Trapped, laser-cooled atoms and ions are quantum systems which can be experimentally controlled with an as yet unmatched degree of precision. Due to the control of the motion and the internal degrees of freedom, these quantum systems can be…

We propose a method to cool atoms on a ring by combining an atom diode -a laser valve for one-way atomic motion which induces robust internal state excitation- and a trap. We demonstrate numerically that the atom is efficiently slowed down…

Quantum Physics · Physics 2009-11-13 A. Ruschhaupt , J. G. Muga

Sympathetic laser cooling is a key concept in precision spectroscopy and quantum state control of charged particles. Significant challenges arise in the metrologically relevant case where the effective interaction between the particles is…

We develop a new algorithm to estimate the temperature of a nonneutral plasma in a Penning-Malmberg trap. The algorithm analyzes data obtained by slowly lowering a voltage that confines one end of the plasma and collecting escaping charges,…

Plasma Physics · Physics 2024-09-19 Adrianne Zhong , Joel Fajans , Jonathan S. Wurtele

In this article, a method is proposed to spatially scale up a trapped ultracold gas while conserving the quantum correlations of the initial many-body state. For systems supporting self-similar dynamics, this is achieved by implementing a…

Quantum Gases · Physics 2011-09-27 A. del Campo

We develop a theory to address the non-equilibrium dynamics of phonons in a one-dimensional trapped ion system. We elaborate our earlier results obtained in Phys. Rev. Lett. {\bf 111}, 170406 (2013) to chart out the mechanism of…

Strongly Correlated Electrons · Physics 2016-04-04 T. Dutta , M. Mukherjee , K. Sengupta

We propose a novel cooling scheme for realising single photon sideband cooling on particles trapped in a state-dependent optical potential. We develop a master rate equation from an ab-initio model and find that in experimentally feasible…

Quantum Gases · Physics 2022-02-11 Federico Berto , Elia Perego , Lucia Duca , Carlo Sias