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Quantum control of engineered mechanical oscillators can be achieved by coupling the oscillator to an auxiliary degree of freedom, provided that the coherent rate of energy exchange exceeds the decoherence rate of each of the two…

Quantum Physics · Physics 2015-05-28 E. Verhagen , S. Deléglise , S. Weis , A. Schliesser , T. J. Kippenberg

The thermodynamic implications for the out-of-equilibrium dynamics of quantum systems are to date largely unexplored, especially for quantum many-body systems. In this paper we investigate the paradigmatic case of an array of…

We present here a new method based on a transfer of population by adiabatic passage that allows to prepare cold atomic samples with a well defined ratio of atomic density and atom number. This method is used to perform a measurement of the…

Atomic Physics · Physics 2009-11-07 F. Pereira Dos Santos , H. Marion , S. Bize , Y. Sortais , A. Clairon , C. Salomon

Jarzynski's identity for the free energy difference between two equilibrium states can be viewed as a special case of a more general procedure based on phase space mappings. Solving a system's equation of motion by approximate means…

Statistical Mechanics · Physics 2009-11-11 Wolfgang Lechner , Harald Oberhofer , Christoph Dellago , Phillip L. Geissler

We study a $C^*$-dynamical system describing a particle coupled to an infinitely extended heat bath at positive temperature. For small coupling constant we prove return to equilibrium exponentially fast in time. The novelty in this context…

Mathematical Physics · Physics 2015-05-20 Martin Könenberg

We propose and analyze a setup to achieve strong coupling between a single trapped atom and a mechanical oscillator. The interaction between the motion of the atom and the mechanical oscillator is mediated by a quantized light field in a…

Quantum Physics · Physics 2015-05-13 K. Hammerer , M. Wallquist , C. Genes , M. Ludwig , F. Marquardt , P. Treutlein , P. Zoller , J. Ye , H. J. Kimble

The effective control of atomic coherence with cold atoms has made atom interferometry an essential tool for quantum sensors and precision measurements. The performance of these interferometers is closely related to the operation of large…

Friction measurements in the range of several meters per second are still of great interests. With the atomic force microscopy (AFM), the oscilaltion situation of the quartz crystal resonators of 3MHz resonance frequency are studied. And…

Mesoscale and Nanoscale Physics · Physics 2013-12-11 Fengzhen Zhang , Othmar Marti , Stefan Walheim , Thomas Schimmel

We study the mechanical fluctuations of a micrometer sized silicon cantilever subjected to a strong heat flow, thus having a highly non-uniform local temperature. In this non-equilibrium steady state, we show that fluctuations are…

Statistical Mechanics · Physics 2017-04-06 Mickael Geitner , Felipe Aguilar Sandoval , Eric Bertin , Ludovic Bellon

A fast harmonic oscillator is linearly coupled with a system of Ising spins that are in contact with a thermal bath, and evolve under a slow Glauber dynamics at dimensionless temperature $\theta$. The spins have a coupling constant…

Statistical Mechanics · Physics 2012-03-26 L. L. Bonilla , A. Prados , A. Carpio

We investigate the time-optimal control of the purification of a qubit interacting with a structured environment, consisting of a strongly coupled two-level defect in interaction with a thermal bath. On the basis of a geometric analysis, we…

Quantum Physics · Physics 2019-03-13 Jonas Fischer , Daniel Basilewitsch , Christiane P. Koch , Dominique Sugny

We study a driven harmonic oscillator operating an Otto cycle between two thermal baths of finite size. By making extensive use of the tools of Gaussian quantum mechanics, we directly simulate the dynamics of the engine as a whole, without…

Quantum Physics · Physics 2018-04-19 Alejandro Pozas-Kerstjens , Eric G. Brown , Karen V. Hovhannisyan

We obtain an exact formula for the equilibrium free energy of a charged quantum particle moving in a harmonic potential in the presence of a uniform external magnetic field and linearly coupled to a heat bath of independent quantum harmonic…

Statistical Mechanics · Physics 2013-12-04 Shamik Gupta , Malay Bandyopadhyay

I examine the regime of forward scattering of an energetic particle in a Plasma medium in thermal equilibrium. Treating the particle as an open quantum system interacting with a bath, I look at the time evolution of the reduced density…

High Energy Physics - Phenomenology · Physics 2021-01-08 Varun Vaidya

The work fluctuations of a harmonic oscillator in contact with a thermostat and driven out of equilibrium by an external force are studied experimentally. For the work both the transient and stationary state fluctuation theorems hold. The…

Statistical Mechanics · Physics 2016-08-14 Sylvain Joubaud , Nicolas Garnier , Frédéric Douarche , Artem Petrosyan , Sergio Ciliberto

We introduce a functional perturbative method for treating weakly nonlinear systems coupled with a quantum field bath. We demonstrate using this method to obtain the covariance matrix elements and the correlation functions of a quantum…

High Energy Physics - Theory · Physics 2020-07-01 Jen-Tsung Hsiang , B. L. Hu

A discrete time control algorithm using the damped least squares is introduced for acceleration and energy exchange controls in nonlinear vibrating systems. It is shown that the damping constant of least squares and sampling time step of…

Optimization and Control · Mathematics 2011-10-17 V. N. Pilipchuk

There is recently a surge of interest to cut down the time it takes to change the state of a quantum system adiabatically. We study for the time-dependent harmonic oscillator the transient energy excitation in speed-up processes designed to…

Quantum Physics · Physics 2010-11-08 Xi Chen , J. G. Muga

A method is proposed to cool down atoms in a harmonic trap without phase-space compression as in a perfectly slow adiabatic expansion, i.e., keeping the populations of the instantaneous initial and final levels invariant, but in a much…

Quantum Physics · Physics 2010-02-17 Xi Chen , A. Ruschhaupt , S. Schmidt , A. del Campo , D. Guery-Odelin , J. G. Muga

Casimir friction is analyzed for a pair of dielectric particles in relative motion. We first adopt a microscopic model for harmonically oscillating particles at finite temperature T moving non-relativistically with constant velocity. We use…

Quantum Physics · Physics 2014-01-28 Johan S. Høye , Iver Brevik