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We present an analytical solution to the dynamics of a noninteracting cloud of thermal atoms in a cigar-shaped harmonic trap with a quartic perturbation along the axial direction. We calculate the first and second moments of position, which…

Atomic Physics · Physics 2020-09-23 Rudolph N. Kohn , James A. Stickney

Cooling of ions or other charged particles in electromagnetic traps is an essential tool to achieve control over their degrees of freedom on the quantum level. For many objects, there is no viable route for direct cooling, such as an…

Atomic Physics · Physics 2024-06-21 Oskar Sund , Andreas W. Schell

We apply a finite-time geometric optimization framework to investigate thermal fluctuations and (non)equilibrium optimal processes in the $(2+1)$-dimensional BTZ black hole. Employing Hessian thermodynamic information metrics, we construct…

General Relativity and Quantum Cosmology · Physics 2026-03-25 M. Radomirov , R. C. Rashkov , G. S. Stoilov , T. Vetsov

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

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

An antiproton plasma confined in a quasi-1D device is described in terms of a self-consistent fluid formulation using a variational approach. Unlike previous treatments, the use of the time-dependent variational method allows to retain the…

Plasma Physics · Physics 2024-06-19 Luiz Gustavo F. Soares , Fernando Haas

We derive a model to describe decoherence of atomic clouds in atom-chip traps taking the excited states of the trapping potential into account. We use this model to investigate decoherence for a single trapping well and for a pair of…

Quantum Physics · Physics 2009-11-10 C. Schroll , W. Belzig , C. Bruder

We study the fast transport of a particle or a Bose-Einstein condensate in a harmonic potential. An exact expression for the final excitation energy in terms of the Fourier transform of the trap acceleration is used to engineer optimal…

Quantum Physics · Physics 2015-01-05 D. Guéry-Odelin , J. G. Muga

A new strategy for trapping quantum particles is presented, which behaves like an effective harmonic oscillator potential trap wherever is desired. The approach is based on harmonic contraction and expansion of the system around a fixed…

Quantum Physics · Physics 2019-03-14 Sebastián Carrasco , José Rogan , Juan Alejandro Valdivia

I develop simple thermodynamic relations for a collection of noninteracting classical particles confined in a harmonic trap. The volume of such a trap is not a good thermodynamic variable, so conventional expressions of the first law of…

Physics Education · Physics 2007-05-23 Martin Ligare

A new method for controlling harmonic generation, in the framework of quantum optimal control theory (QOCT), is developed. The problem is formulated in the frequency domain using a new maximization functional. The relaxation method is used…

Quantum Physics · Physics 2012-08-28 Ido Schaefer

For a small system like a colloidal particle or a single biomolecule embedded in a heat bath, the optimal protocol of an external control parameter minimizes the mean work required to drive the system from one given equilibrium state to…

Statistical Mechanics · Physics 2009-11-13 Tim Schmiedl , Udo Seifert

We study zero-temperature quantum fluctuations in harmonically trapped one-dimensional interacting Bose gases, using the self-consistent multiconfigurational time-dependent Hartree method. We define $phase$ $fluctuations$ from the full…

Quantum Gases · Physics 2019-04-11 Oleksandr V. Marchukov , Uwe R. Fischer

Motivated by recent experiments, we present the time-optimal variational control of bright matter-wave soliton trapped in a quasi-one-dimensional harmonic trap by manipulating the atomic attraction through Feshbach resonances. More…

Quantum Gases · Physics 2020-11-18 Tang-You Huang , Jia Zhang , Jing Li , Xi Chen

During the last decade, many exciting phenomena have been experimentally observed and theoretically predicted for ultracold atoms in optical lattices. This paper reviews these rapid developments concentrating mainly on the theory. Different…

Quantum Gases · Physics 2015-12-29 K. V. Krutitsky

Optimal-control techniques and a fast-approach scheme are used to implement a collisional control phase gate in a model of cold atoms in an optical lattice, significantly reducing the gate time as compared to adiabatic evolution while…

Quantum Physics · Physics 2007-05-23 Dan Vager , Bilha Segev , Y. B. Band

Engineered ultracold atomic systems are a valuable platform for fundamental quantum mechanics studies and the development of quantum technologies. At near zero absolute temperature, atoms exhibit macroscopic phase coherence and collective…

We studied a single atom trapped in an optical tweezer interacting with a thermal bath of ultracold atoms of a different species. Because of the collisions between the trapped atom and the bath atoms, the trapped atom undergoes changes in…

Atomic Physics · Physics 2021-03-09 Rahul Sawant , Anna Maffei , Giovanni Barontini

Single-photon cooling is a recently introduced method to cool atoms and molecules for which standard methods might not be applicable. We numerically examine this method in a two-dimensional wedge trap as well as in a two-dimensional…

Quantum Physics · Physics 2014-03-25 V. P. Singh , A. Ruschhaupt

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