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      More bang for your buck: Super-adiabatic quantum engines

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      1 , 2 , 3 , a , 4
      Scientific Reports
      Nature Publishing Group

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          Abstract

          The practical untenability of the quasi-static assumption makes any realistic engine intrinsically irreversible and its operating time finite, thus implying friction effects at short cycle times. An important technological goal is thus the design of maximally efficient engines working at the maximum possible power. We show that, by utilising shortcuts to adiabaticity in a quantum engine cycle, one can engineer a thermodynamic cycle working at finite power and zero friction. Our findings are illustrated using a harmonic oscillator undergoing a quantum Otto cycle.

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          Fast optimal frictionless atom cooling in harmonic traps: shortcut to adiabaticity.

          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 same populations of instantaneous levels in the initial and final traps, but in a much shorter time. This may require that the harmonic trap become transiently an expulsive parabolic potential. The cooling times achieved are shorter than those obtained using optimal-control bang-bang methods and real frequencies.
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            Single-ion heat engine at maximum power.

            We propose an experimental scheme to realize a nanoheat engine with a single ion. An Otto cycle may be implemented by confining the ion in a linear Paul trap with tapered geometry and coupling it to engineered laser reservoirs. The quantum efficiency at maximum power is analytically determined in various regimes. Moreover, Monte Carlo simulations of the engine are performed that demonstrate its feasibility and its ability to operate at a maximum efficiency of 30% under realistic conditions.
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              Quantum extension of the Jarzynski relation: analogy with stochastic dephasing.

              The relation between the distribution of work performed on a classical system by an external force switched on an arbitrary time scale and the corresponding equilibrium free energy difference is generalized to quantum systems. Using the adiabatic representation, we show that this relation holds for isolated systems as well as for systems coupled to a bath described by a master equation. A close formal analogy is established between the present "classical trajectory" picture over populations of adiabatic states and phase fluctuations (dephasing) of a quantum coherence in spectral line shapes, described by the stochastic Liouville equation.
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                Author and article information

                Journal
                Sci Rep
                Sci Rep
                Scientific Reports
                Nature Publishing Group
                2045-2322
                28 August 2014
                2014
                : 4
                : 6208
                Affiliations
                [1 ]Theoretical Division, Los Alamos National Laboratory , Los Alamos, NM 87545, USA
                [2 ]Center for Nonlinear Studies, Los Alamos National Laboratory , Los Alamos, NM 87545, USA
                [3 ]The Abdus Salam International Centre for Theoretical Physics , 34014, Trieste, Italy
                [4 ]Centre for Theoretical Atomic, Molecular and Optical Physics, School of Mathematics and Physics, Queen's University , Belfast BT7 1NN, United Kingdom
                Author notes
                Article
                srep06208
                10.1038/srep06208
                4147366
                25163421
                de5e4537-6de2-40ff-aa36-ff0635fb0354
                Copyright © 2014, Macmillan Publishers Limited. All rights reserved

                This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article's Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder in order to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

                History
                : 03 March 2014
                : 16 June 2014
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