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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 present a theoretical study of the dynamical behavior of a gas made of ultracold fermionic atoms, which during their motions can collide with a much smaller number of thermal bosonic impurities. The atoms are confined inside harmonic…

Other Condensed Matter · Physics 2007-05-23 P. Capuzzi , P. Vignolo , F. Toschi , S. Succi , M. P. Tosi

We develop a time-optimal approach to force sensing using a Bose-Einstein condensate in a shaken optical lattice. Optimal control protocols are derived from a Fisher information framework and yield optimal dynamics that spontaneously…

We present a model for sympathetic cooling of a mixture of fermionic and bosonic atomic gases in harmonic traps, based on a three-fluid description. The model confirms the experimentally observed cooling limit of about 0.2 T_F when only…

Condensed Matter · Physics 2009-11-10 M. Wouters , J. Tempere , J. T. Devreese

We show that thermalization of the motion of atoms at negative temperature is possible in an optical lattice, for conditions that are feasible in current experiments. We present a method for reversibly inverting the temperature of a trapped…

Statistical Mechanics · Physics 2007-05-23 A. P. Mosk

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

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

Potential realization of a quantum thermometer operating in the nanokelvin regime, formed by a few-fermionic mixture confined in a one-dimensional harmonic trap, is proposed. Thermal states of the system are studied theoretically from the…

Quantum Gases · Physics 2018-06-22 Marcin Płodzień , Rafał Demkowicz-Dobrzański , Tomasz Sowiński

The dynamics of an interacting Fermi gas of atoms at sufficiently high temperatures can be efficiently studied via a numerical simulation of the Boltzmann equation. In this work we describe in detail the setup we used recently to study the…

Quantum Gases · Physics 2012-07-19 Olga Goulko , Frédéric Chevy , Carlos Lobo

We study the dynamic behavior of ultracold neutral atoms in a macroscopic ac electric trap. Confinement in such a trap is achieved by switching between two saddle-point configurations of the electric field. The gradual formation of a stably…

Atomic Physics · Physics 2008-04-14 Sophie Schlunk , Adela Marian , Wieland Schoellkopf , Gerard Meijer

Using the Euler-Maclaurin summation we calculate analytically the internal energy for non-interacting bosons confined within a harmonic oscillator potential. The specific heat shows a sharp $\lambda$-like peak indicating a condensation into…

Condensed Matter · Physics 2009-10-28 H. Haugerud , T. Haugset , F. Ravndal

Optimal (reversible) processes in thermodynamics can be modelled as step-by-step processes, where the system is successively thermalized with respect to different Hamiltonians by an external thermal bath. However, in practice interactions…

Thermalization of a system in the presence of a heat bath has been the subject of many theoretical investigations especially in the framework of solid-state physics. In this setting, the presence of a large bandwidth for the frequency…

Statistical Mechanics · Physics 2015-10-09 Roberto Onofrio , Bala Sundaram

We have studied the atomic density of a cloud confined in an isotropic harmonic trap at the vicinity of the Bose-Einstein transition temperature. We show that, for a non-interacting gas and near this temperature, the ground-state density…

Quantum Physics · Physics 2015-06-26 Rodolphe Hoppeler , Jose Viana Gomes , Denis Boiron

We consider damped stochastic systems in a controlled (time-varying) quadratic potential and study their transition between specified Gibbs-equilibria states in finite time. By the second law of thermodynamics, the minimum amount of work…

Statistical Mechanics · Physics 2018-03-23 Yongxin Chen , Tryphon Georgiou , Allen Tannenbaum

In this article, the optimal control problem for a harmonic oscillator with an inequality constraint is considered. The applied energy of the oscillator during a fixed final time period is used as the performance criterion. The analytical…

Systems and Control · Electrical Eng. & Systems 2023-10-02 Mi Zhou , Erik I Verriest , Chaouki Abdallah

Implementation of the quantum interferometry concept to spin-1 atomic Bose-Einstein condensates is analyzed by employing a polar state evolved in time. In order to identify the best interferometric configurations, the quantum Fisher…

Quantum Gases · Physics 2019-10-24 Artur Niezgoda , Dariusz Kajtoch , Joanna Dziekańska , Emilia Witkowska

We reassess the concept of transition at minimum work in classical stochastic finite-time thermodynamics, when the system dynamics is modelled by a diffusion process. We show that a well-posed formulation of the optimal control problem…

Statistical Mechanics · Physics 2026-03-13 Paolo Muratore-Ginanneschi , Julia Sanders

We solve the problem of a Bose or Fermi gas in $d$-dimensions trapped by $% \delta \leq d$ mutually perpendicular harmonic oscillator potentials. From the grand potential we derive their thermodynamic functions (internal energy, specific…

Statistical Mechanics · Physics 2016-08-16 M. Grether , M. Fortes , M. de Llano , J. L. del Río , F. J. Sevilla , M. A. Solís , Ariel A. Valladares

Hybrid systems of laser-cooled trapped ions and ultracold atoms combined in a single experimental setup have recently emerged as a new platform for fundamental research in quantum physics. This paper reviews the theoretical and experimental…

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