open system; cold atoms; quantum transport; Andreev reflection
Abstract :
[en] We show how Cooper-pair-assisted transport, which describes the stimulated transport of electrons in the presence of Cooper-pairs, can be engineered and controlled with cold atoms, in regimes that are difficult to access for condensed matter systems. Our model is a channel connecting two cold atomic gases, and the mechanism to generate such a transport relies on the coupling of the channel to a molecular BEC, with diatomic molecules of fermionic atoms. Our results are obtained using a Floquet─Redfield master equation that accounts for an exact treatment of the interaction between atoms in the channel. We explore, in particular, the impact of the coupling to the BEC and the interaction between atoms in the junction on its transport properties, revealing non-trivial dependence of the produced particle current. We also study the effects of finite temperatures of the reservoirs and the robustness of the current against additional dissipation acting on the junction. Our work is experimentally relevant and has potential applications to dissipation engineering of transport with cold atoms, studies of thermoelectric effects, quantum heat engines, or Floquet Majorana fermions.
Disciplines :
Physics
Author, co-author :
Damanet, François ; Department of Physics and SUPA, University of Strathclyde, Glasgow G4 0NG, United Kingdom
Mascarenhas, Eduardo; Department of Physics and SUPA, University of Strathclyde, Glasgow G4 0NG, United Kingdom
Pekker, David; Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, PA 15260, United States of America ; Pittsburgh Quantum Institute, Pittsburgh, PA 15260, United States of America
Daley, Andrew J.; Department of Physics and SUPA, University of Strathclyde, Glasgow G4 0NG, United Kingdom)
Language :
English
Title :
Reservoir engineering of Cooper-pair-assisted transport with cold atoms
Krinner S, Esslinger T and Brantut J-P 2017 Two-terminal transport measurements with cold atoms J. Phys.: Condens. Matter 29 343003
Krinner S, Stadler D, Husmann D, Brantut J-P and Esslinger T 2015 Observation of quantized conductance in neutral matter Nature 517 64-7
Husmann D, Uchino S, Krinner S, Lebrat M, Giamarchi T, Esslinger T and Brantut J-P 2015 Connecting strongly correlated superfluids by a quantum point contact Science 350 1498-501
Lebrat L, Grišins P, Husmann D, Häusler S, Corman L, Giamarchi T, Brantut J-P and Esslinger T 2018 Band and correlated insulators of cold fermions in a mesoscopic lattice Phys. Rev. X 8 011053
Uchino S, Ueda M and Brantut J-P 2018 Universal noise in continuous transport measurements of interacting fermions Phys. Rev. A 98 063619
Wiseman H M and Milburn G J 2009 Quantum Measurement and Control (Cambridge: Cambridge University Press)
Gardiner C and Zoller P 2015 The Quantum World of Ultra-Cold Atoms and Light Book II: The Physics of Quantum-Optical Devices (London: Imperial College Press) doi: (https://doi.org/10.1142/p983)
Metcalf H J and van der Straten P 1999 Laser Cooling and Trapping (Berlin: Springer)
Gericke T, Wurtz P, Reitz D, Langen T and Ott H 2008 High-resolution scanning electron microscopy of an ultra-cold quantum gas Nat. Phys. 4 949
Weitenberg C, Endres M, Sherson J, Cheneau M, Schauß P, Fukuhara T, Bloch I and Kuhr S 2011 Single-spin addressing in an atomic mott insulator Nature 471 319-24
Bakr W S, Gillen J I, Peng A, Fölling S and Greiner M 2009 A quantum gas microscope for detecting single atoms in a hubbard-regime optical lattice Nature 462 74-7
Sherson J, Weitenberg C, Endres M, Cheneau M, Bloch I and Kuhr S 2010 Single-atom resolved fluorescence imaging of an atomic mott insulator Nature 467 68-72
Daley A J 2014 Quantum trajectories and open many-body quantum systems Adv. Phys. 63 77-149
Lüschen H P, Bordia P, Hodgman S S, Schreiber M, Sarkar S, Daley A J, Fischer M H, Altman E, Bloch I and Schneider U 2017 Signatures of many-body localization in a controlled open quantum system Phys. Rev. X 7 011034
Sarkar S, Langer S, Schachenmayer J and Daley A J 2014 Light scattering and dissipative dynamics of many fermionic atoms in an optical lattice Phys. Rev. A 90 023618
Pichler H, Daley A J and Zoller P 2010 Nonequilibrium dynamics of bosonic atoms in optical lattices: decoherence of many-body states due to spontaneous emission Phys. Rev. A 82 063605
van Nieuwenburg E P L, Yago Malo J, Daley A J and Fischer M H 2018 Dynamics of many-body localization in the presence of particle loss Quantum Sci. Technol. 3 01LT02
Andreev A 1964 The thermal conductivity of the intermediate state in superconductors Sov. Phys. JETP 19 1228
Beenakker C W J 1997 Random-matrix theory of quantum transport Rev. Mod. Phys. 69 731-808
Martín-Rodero A and Levy Yeyati A 2011 Josephson and andreev transport through quantum dots Adv. Phys. 60 899-958
Jiang L, Kitagawa T, Alicea J, Akhmerov A R, Pekker D, Refael G, Cirac J I, Demler E, Lukin M D and Zoller P 2011 Majorana fermions in equilibrium and in driven cold-atom quantum wires Phys. Rev. Lett. 106 220402
Yan Y, Lü Z and Zheng H 2016 Resonance fluorescence of strongly driven two-level system coupled to multiple dissipative reservoirs Ann. Phys. 371 159-82
Kohler S, Dittrich T and Hänggi P 1997 Floquet-Markovian description of the parametrically driven, dissipative harmonic quantum oscillator Phys. Rev. E 55 300-13
Graham R and Hubner R 1994 Generalized quasi-energies and floquet states for a dissipative system Ann. Phys. 234 315
Grifoni M and Hänggi P 1998 Driven quantum tunneling Phys. Rep. 304 229-354
Lindblad G 1976 On the generators of quantum dynamical semigroups Commun. Math. Phys. 48 119-30
Gorini V, Kossakowski A and Sudarshan E C G 1976 Completely positive dynamical semigroups of N-level systems J. Math. Phys. 17 821
Breuer H-P and Petruccione F 2006 The Theory of Open Quantum Systems (Oxford: Oxford University Press)
Blattmann R, Hänggi P and Kohler S 2015 Qubit interference at avoided crossings: the role of driving shape and bath coupling Phys. Rev. A 91 042109
Damanet F, Mascarenhas E, Pekker D and Daley A J 2019 Controlling quantum transport via dissipation engineering Phys. Rev. Lett. (accepted) arXiv: 1904.03631
Bruderer M and Belzig W 2012 Mesoscopic transport of fermions through an engineered optical lattice connecting two reservoirs Phys. Rev. A 85 013623
von der Linden W, Morgenstern I and de Raedt H 1990 Quantum Monte Carlo study of quasiparticles in the hubbard model Phys. Rev. B 41 4669-73
Pasienski M and DeMarco B 2008 A high-accuracy algorithm for designing arbitrary holographic atom traps Opt. Express 16 2176-90
Arunkumar N, Jagannathan A and Thomas J E 2019 Designer spatial control of interactions in ultracold gases Phys. Rev. Lett. 122 040405
Jochim S, Bartenstein M, Altmeyer A, Hendl G, Riedl S, Chin C, Hecker Denschlag J and Grimm R 2003 Bose-Einstein condensation of molecules Science 302 2101-3
Greiner M, Regal C A and Jin D S 2004 Emergence of a molecular Bose-Einstein condensate from a fermi gas Nature 426 537-40
Zwierlein M W, Stan C A, Schunck C H, Raupach S M F, Gupta S, Hadzibabic Z and Ketterle W 2003 Observation of bose-einstein condensation of molecules Phys. Rev. Lett. 91 250401
Holland M, Kokkelmans S, Chiofalo M L and Walser R 2001 Resonance superfluidity in a quantum degenerate fermi gas Phys. Rev. Lett. 87 120406
Damanet F, Daley A J and Keeling J 2019 Atom-only descriptions of the driven-dissipative dicke model Phys. Rev. A 99 033845
Timm C 2008 Tunneling through molecules and quantum dots: master-equation approaches Phys. Rev. B 77 195416
Lebrat M, Häusler S, Fabritius P, Husmann D, Corman L and Esslinger T 2019 Local spin manipulation of quantized atomic currents arXiv:1902.05516
Grenier C, Kollath C and Georges A 2016 Thermoelectric transport and peltier cooling of cold atomic gases C.R. Phys. 17 1174
Brantut J-P, Grenier C, Meineke J, Stadler D, Krinner S, Kollath C, Esslinger T and Georges A 2013 A thermoelectric heat engine with ultracold atoms Science 342 713-5
Sekera T, Bruder C and Belzig W 2016 Thermoelectricity in a junction between interacting cold atomic Fermi gases Phys. Rev. A 94 033618
Benito M and Platero G 2015 Floquet majorana fermions in superconducting quantum dots Physica E 74 613
Li Y, Kundu A, Zhong F and Seradjeh B 2014 Tunable Floquet Majorana fermions in driven coupled quantum dots Phys. Rev. B 90 121401
Yudin V I, Taichenachev A V and Basalaev M Y 2016 Dynamic steady state of periodically driven quantum systems Phys. Rev. A 93 013820