Abstract
Multi-particle sources constitute an interesting new paradigm following the recent development of on-demand single-electron sources. Versatile devices can be designed using several single-electron sources, possibly of different types, coupled to the same quantum circuit. However, if combined non-locally to avoid cross-talk, the resulting architecture becomes very sensitive to electronic decoherence. To circumvent this problem, we here analyse two-particle sources that operate with several single-electron (or hole) emitters attached in series to the same electronic waveguide. Using Floquet scattering theory we demonstrate how such a device can emit exactly two electrons without exciting unwanted electron-hole pairs if the driving is adiabatic. Going beyond the adiabatic regime, perfect two-electron emission can be achieved by driving two quantum dot levels across the Fermi level of the external reservoir. If a single-electron source is combined with a source of holes, the emitted particles can annihilate each other in a process which is governed by the overlap of their wave functions. Importantly, the degree of annihilation can be controlled by tuning the emission times, and the overlap can be determined by measuring the shot noise after a beam splitter. In contrast to a Hong-Ou-Mandel experiment, the wave functions overlap close to the emitters and not after propagating to the beam splitter, making the shot noise reduction less susceptible to electronic decoherence.
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C. Bäuerle, D.C. Glattli, T. Meunier, F. Portier, P. Roche, P. Roulleau, S. Takada, X. Waintal, Rep. Prog. Phys. 81, 056503 (2018)
J. Splettstoesser, R.J. Haug, Phys. Status Solidi B 254, 1770217 (2017)
J.P. Pekola, O.P. Saira, V.F. Maisi, A. Kemppinen, M. Mottönen, Y.A. Pashkin, D.V. Averin, Rev. Mod. Phys. 85, 1421 (2013)
S.P. Giblin, A. Fujiwara, G. Yamahata, M.H. Bae, N. Kim, A. Rossi, M. Mottönen, M. Kataoka (2019), https://arXiv:1901.05218v1
J. Splettstoesser, M. Moskalets, M. Büttiker, Phys. Rev. Lett. 103, 076804 (2009)
E. Bocquillon et al., Ann. Phys. 526, 1 (2014)
R. Hanbury Brown, R.Q. Twiss, Nature 178, 1046 (1956)
J. Dubois, T. Jullien, F. Portier, P. Roche, A. Cavanna, Y. Jin, W. Wegscheider, P. Roulleau, D.C. Glattli, Nature 502, 659 (2013)
E. Bocquillon, F.D. Parmentier, C. Grenier, J.M. Berroir, P. Degiovanni, D.C. Glattli, B. Plaçais, A. Cavanna, Y. Jin, G. Fève, Phys. Rev. Lett. 108, 196803 (2012)
D.C. Glattli, P. Roulleau, Phys. Rev. B 97, 125407 (2018)
M. Henny, S. Oberholzer, C. Strunk, T. Heinzel, K. Ensslin, M. Holland, C. Schönenberger, Science 284, 296 (1999)
W.D. Oliver, J. Kim, R.C. Liu, Y. Yamamoto, Science 284, 299 (1999)
S. Oberholzer, M. Henny, C. Strunk, C. Schönenberger, T. Heinzel, K. Ensslin, M. Holland, Physica E 6, 314 (2000)
I. Neder, N. Ofek, Y. Chung, M. Heiblum, D. Mahalu, V. Umansky, Nature 448, 333 (2007)
C.K. Hong, Z.Y. Ou, L. Mandel, Phys. Rev. Lett. 59, 2044 (1987)
V. Freulon, A. Marguerite, J.M. Berroir, B. Plaçais, A. Cavanna, Y. Jin, G. Fève, Nat. Commun. 6, 6854 (2015)
E. Bocquillon, V. Freulon, J.M. Berroir, P. Degiovanni, B. Plaçais, A. Cavanna, Y. Jin, G. Fève, Science 339, 1054 (2013)
A. Marguerite, E. Bocquillon, J.M. Berroir, B. Plaçais, A. Cavanna, Y. Jin, P. Degiovanni, G. Fève, Phys. Status Solidi B 254, 1600618 (2016)
D.C. Glattli, P.S. Roulleau, Phys. Status Solidi B 254, 1600650 (2016)
A. Marguerite et al., Phys. Rev. B 94, 115311 (2016)
C. Grenier, R. Hervé, E. Bocquillon, F.D. Parmentier, B. Plaçais, J.M. Berroir, G. Fève, P. Degiovanni, New J. Phys. 13, 093007 (2011)
T. Jullien, P. Roulleau, B. Roche, A. Cavanna, Y. Jin, D.C. Glattli, Nature 514, 603 (2014)
A. Marguerite et al. (2017), https://arXiv:1710.11181v1
J.D. Fletcher, N. Johnson, E. Locane, P. See, J.P. Griffiths, I. Farrer, D.A. Ritchie, P.W. Brouwer, V. Kashcheyevs, M. Kataoka, Nature communications 10, 5298 (2019)
C. Altimiras, H. le Sueur, U. Gennser, A. Cavanna, D. Mailly, F. Pierre, Phys. Rev. Lett. 105, 226804 (2010)
P.A. Huynh, F. Portier, H. le Sueur, G. Faini, U. Gennser, D. Mailly, F. Pierre, W. Wegscheider, P. Roche, Phys. Rev. Lett. 108, 256802 (2012)
C. Cabart, B. Roussel, G. Fève, P. Degiovanni, Phys. Rev. B 98, 155302 (2018)
R.H. Rodriguez, F.D. Parmentier, P. Roulleau, U. Gennser, A. Cavanna, F. Portier, D. Mailly, P. Roche (2019), https://arXiv:1903.05919v1
H. Duprez, E. Sivre, A. Anthore, A. Aassime, A. Cavanna, A. Ouerghi, U. Gennser, F. Pierre, Phys Rev X 9, 021030 (2019)
M. Kataoka, N. Johnson, C. Emary, P. See, J.P. Griffiths, G.A.C. Jones, I. Farrer, D.A. Ritchie, M. Pepper, T.J.B.M. Janssen, Phys. Rev. Lett. 116, 126803 (2016)
N. Johnson et al., Phys. Rev. Lett. 121, 137703 (2018)
G. Fève, A. Mahé, J.M. Berroir, T. Kontos, B. Plaçais, D.C. Glattli, A. Cavanna, B. Etienne, Y. Jin, Science 316, 1169 (2007)
J. Gabelli, G. Fève, J.M. Berroir, B. Plaçais, A. Cavanna, B. Etienne, Y. Jin, Science 313, 499 (2006)
M. Büttiker, H. Thomas, A. Prêtre, Phys. Lett. A 180, 364 (1993)
J. Keeling, A.V. Shytov, L.S. Levitov, Phys. Rev. Lett. 101, 196404 (2008)
L.S. Levitov, H. Lee, G.B. Lesovik, J. Math. Phys. 37, 4845 (1996)
D.A. Ivanov, H.W. Lee, L.S. Levitov, Phys. Rev. B 56, 6839 (1997)
J. Keeling, I. Klich, L.S. Levitov, Phys. Rev. Lett. 97, 116403 (2006)
M. Misiorny, G. Fève, J. Splettstoesser, Phys. Rev. B 97, 075426 (2018)
D.C. Glattli, P. Roulleau, Physica E 76, 216 (2016)
J. Waldie, P. See, V. Kashcheyevs, J.P. Griffiths, I. Farrer, G.A.C. Jones, D.A. Ritchie, T.J.B.M. Janssen, M. Kataoka, Phys. Rev. B 92, 125305 (2015)
N. Ubbelohde, F. Hohls, V. Kashcheyevs, T. Wagner, L. Fricke, B. Kästner, K. Pierz, H.W. Schumacher, R.J. Haug, Nat. Nanotechnol. 10, 46 (2014)
J.D. Fletcher et al., Phys. Rev. Lett. 111, 216807 (2013)
L. Fricke et al., Phys. Rev. Lett. 110, 126803 (2013)
J. Splettstoesser, S. Ol’khovskaya, M. Moskalets, M. Büttiker, Phys. Rev. B 78, 205110 (2008)
D. Litinski, P. Brouwer, M. Filippone, Phys. Rev. B 96, 085429 (2017)
G. Wagner, D.X. Nguyen, D.L. Kovrizhin, S.H. Simon, Phys. Rev. Lett. 122, 127701 (2019)
C. Grenier, R. Hervé, G. Fève, P. Degiovanni, Mod. Phys. Lett. B 25, 1053 (2011)
B. Roussel, C. Cabart, G. Fève, E. Thibierge, P. Degiovanni, Phys. Status Solidi B 254, 1600621 (2017)
C. Grenier, J. Dubois, T. Jullien, P. Roulleau, D.C. Glattli, P. Degiovanni, Phys. Rev. B 88, 085302 (2013)
M. Moskalets, Phys. Rev. B 91, 195431 (2015)
M. Moskalets, G. Haack, Physica E 75, 358 (2016)
M. Moskalets, Low Temp. Phys. 43, 865 (2017)
M. Moskalets, Phys. Rev. B 96, 165423 (2017)
M. Moskalets, Phys. Rev. B 89, 045402 (2014)
M. Moskalets, M. Büttiker, Phys. Rev. B 80, 081302(R) (2009)
M. Moskalets, G. Haack, M. Büttiker, Phys. Rev. B 87, 125429 (2013)
S. Juergens, J. Splettstoesser, M. Moskalets, Europhys. Lett. 96, 37011 (2011)
W. Schottky, Ann. Phys. 362, 541 (1918)
M. Reznikov, R. de Picciotto, M. Heiblum, D.C. Glattli, A. Kumar, L. Saminadayar, Superlattice Microst. 23, 901 (1998)
Ya. Blanter, M. Büttiker, Phys. Rep. 336, 1 (2000)
M. Büttiker, Phys. Rev. B 46, 12485 (1992)
R. Liu, B. Odom, Y. Yamamoto, S. Tarucha, Nature 391, 263 (1998)
M. Moskalets, G. Haack, Phys. Status Solidi B 254, 1600616 (2016)
D. Ferraro, F. Ronetti, L. Vannucci, M. Acciai, J. Rech, T. Jockheere, T. Martin, M. Sassetti, Eur. Phys. J. Special Topics 227, 1345 (2018)
T. Jonckheere, J. Rech, C. Wahl, T. Martin, Phys. Rev. B 86, 125425 (2012)
J. Rech, C. Wahl, T. Jonckheere, T. Martin, J. Stat. Mech.: Theory Exp. 2016, 054008 (2016)
M. Moskalets, Phys. Rev. B 97, 155411 (2018)
S. Ol’khovskaya, J. Splettstoesser, M. Moskalets, M. Büttiker, Phys. Rev. Lett. 101, 166802 (2008)
G. Fève, P. Degiovanni, T. Jolicoeur, Phys. Rev. B 77, 035308 (2008)
M. Moskalets, M. Büttiker, Phys. Rev. B 83, 035316 (2011)
E. Iyoda, T. Kato, K. Koshino, T. Martin, Phys. Rev. B 89, 205318 (2014)
M. Moskalets, M. Büttiker, Phys. Rev. B 66, 205320 (2002)
G. Haack, M. Moskalets, M. Büttiker, Phys. Rev. B 87, 201302 (2013)
M. Moskalets, M. Büttiker, Phys. Rev. B 78, 035301 (12) (2008)
J. Dubois, T. Jullien, C. Grenier, P. Degiovanni, P. Roulleau, D.C. Glattli, Phys. Rev. B 88, 085301 (2013)
B. Gaury, X. Waintal, Nat. Commun. 5, 3844 (2014)
D. Dasenbrook, C. Flindt, M. Büttiker, Phys. Rev. Lett. 112, 146801 (2014)
W. Belzig, M. Vanević, Physica E 75, 22 (2016)
J. Rech, D. Ferraro, T. Jonckheere, L. Vannucci, M. Sassetti, T. Martin, Phys. Rev. Lett. 118, 076801 (2017)
T.J. Suzuki, Phys. Rev. B 95, 241302 (2017)
F. Ronetti, L. Vannucci, D. Ferraro, T. Jonckheere, J. Rech, T. Martin, M. Sassetti, Phys. Rev. B 98, 075401 (2018)
I. Safi, Phys. Rev. B 99, 045101 (2019)
P. Burset, J. Kotilahti, M. Moskalets, C. Flindt, Adv. Quantum Technol. 2, 1970023 (2019)
N. Dashti, M. Misiorny, S. Kheradsoud, P. Samuelsson, J. Splettstoesser, Phys. Rev. B 100, 035405 (2019)
D. Ferraro, A. Feller, A. Ghibaudo, E. Thibierge, E. Bocquillon, G. Fève, C. Grenier, P. Degiovanni, Phys. Rev. B 88, 205303 (2013)
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Moskalets, M., Kotilahti, J., Burset, P. et al. Composite two-particle sources. Eur. Phys. J. Spec. Top. 229, 647–662 (2020). https://doi.org/10.1140/epjst/e2019-900121-x
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DOI: https://doi.org/10.1140/epjst/e2019-900121-x