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      A quantum engine in the BEC–BCS crossover

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          Abstract

          Heat engines convert thermal energy into mechanical work both in the classical and quantum regimes 1 . However, quantum theory offers genuine non-classical forms of energy, different from heat, which so far have not been exploited in cyclic engines. Here we experimentally realize a quantum many-body engine fuelled by the energy difference between fermionic and bosonic ensembles of ultracold particles that follows from the Pauli exclusion principle 2 . We employ a harmonically trapped superfluid gas of 6Li atoms close to a magnetic Feshbach resonance 3 that allows us to effectively change the quantum statistics from Bose–Einstein to Fermi–Dirac, by tuning the gas between a Bose–Einstein condensate of bosonic molecules and a unitary Fermi gas (and back) through a magnetic field 410 . The quantum nature of such a Pauli engine is revealed by contrasting it with an engine in the classical thermal regime and with a purely interaction-driven device. We obtain a work output of several 10 6 vibrational quanta per cycle with an efficiency of up to 25%. Our findings establish quantum statistics as a useful thermodynamic resource for work production.

          Abstract

          This study reports the creation of a model thermodynamic engine that is fuelled by the energy difference resulting from changing the statistics of a quantum gas from bosonic to fermionic.

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          Most cited references69

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          Emergence of a molecular Bose-Einstein condensate from a Fermi gas.

          The realization of superfluidity in a dilute gas of fermionic atoms, analogous to superconductivity in metals, represents a long-standing goal of ultracold gas research. In such a fermionic superfluid, it should be possible to adjust the interaction strength and tune the system continuously between two limits: a Bardeen-Cooper-Schrieffer (BCS)-type superfluid (involving correlated atom pairs in momentum space) and a Bose-Einstein condensate (BEC), in which spatially local pairs of atoms are bound together. This crossover between BCS-type superfluidity and the BEC limit has long been of theoretical interest, motivated in part by the discovery of high-temperature superconductors. In atomic Fermi gas experiments superfluidity has not yet been demonstrated; however, long-lived molecules consisting of locally paired fermions have been reversibly created. Here we report the direct observation of a molecular Bose-Einstein condensate created solely by adjusting the interaction strength in an ultracold Fermi gas of atoms. This state of matter represents one extreme of the predicted BCS-BEC continuum.
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            Bose-Einstein Condensation of Molecules

            S. Jochim (2003)
            We report on the Bose-Einstein condensation of more than 10(5) Li2 molecules in an optical trap starting from a spin mixture of fermionic lithium atoms. During forced evaporative cooling, the molecules are formed by three-body recombination near a Feshbach resonance and finally condense in a long-lived thermal equilibrium state. We measured the characteristic frequency of a collective excitation mode and demonstrated the magnetic field-dependent mean field by controlled condensate spilling.
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              Laser Cooling and Trapping

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                Author and article information

                Contributors
                widera@rptu.de
                Journal
                Nature
                Nature
                Nature
                Nature Publishing Group UK (London )
                0028-0836
                1476-4687
                27 September 2023
                27 September 2023
                2023
                : 621
                : 7980
                : 723-727
                Affiliations
                [1 ]Department of Physics and Research Center OPTIMAS, RPTU Kaiserslautern-Landau, ( https://ror.org/01qrts582) Kaiserslautern, Germany
                [2 ]OIST Graduate University, ( https://ror.org/04a8t1e98) Onna, Japan
                [3 ]Enrique Gaviola Institute of Physics, National Scientific and Technical Research Council of Argentina and National University of Córdoba, ( https://ror.org/03cqe8w59) Córdoba, Argentina
                [4 ]Institute for Theoretical Physics I, University of Stuttgart, ( https://ror.org/04vnq7t77) Stuttgart, Germany
                Author information
                http://orcid.org/0009-0002-2992-3645
                http://orcid.org/0000-0002-6351-416X
                http://orcid.org/0009-0003-9365-7705
                http://orcid.org/0000-0003-4940-5861
                http://orcid.org/0000-0003-0535-2833
                http://orcid.org/0000-0002-0338-9969
                Article
                6469
                10.1038/s41586-023-06469-8
                10533395
                37758889
                fce99490-ef65-478a-b89b-e3bf7e019f68
                © The Author(s), under exclusive licence to Springer Nature Limited 2023

                Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.

                History
                : 28 September 2022
                : 21 July 2023
                Categories
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                © Springer Nature Limited 2023

                Uncategorized
                quantum physics,thermodynamics,ultracold gases
                Uncategorized
                quantum physics, thermodynamics, ultracold gases

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