Effect of electron-electron interactions on the propagation of ultrashort voltage pulses in a Mach–Zehnder interferometer

Автор(и)

DOI (Low Temperature Physics):


https://doi.org/10.1063/10.0044811

Ключові слова:

Mach–Zehnder interferometer, qubits for quantum information transmission, electron-electron interactions, ultrashort voltage pulses

Анотація

Електронні інтерферометри розглядаються як можливі кандидати для створення електронних кубітів для передавання квантової інформації. Такий режим вимагає використання надшвидких імпульсів напруги, тривалість яких менша за час прольоту через пристрій. Розуміння відповідних фізичних процесів за наявності таких коротких збуджень вимагає належного врахування електрон-електронних взаємодій. У цій статті зроблено крок у цьому напрямку шляхом моделювання інтерферометра Маха–Цендера з часовим розділенням та розгляду взаємодій в наближенні залежного від часу середнього поля. Виявлено, що основним наслідком взаємодії є перенормування швидкості імпульсу. Важливо зазначити, що інтерференційні ефекти виявляються стійкими до наявності взаємодій.

Посилання

1. P. Roulleau, F. Portier, P. Roche, A. Cavanna, G. Faini, U. Gennser, and D. Mailly, “Direct measurement of the coherence length of edge states in the integer quantum Hall regime,” Phys. Rev. Lett. 100, 126802 (2008). https://doi.org/10.1103/PhysRevLett.100.126802

2. G. Roussely, E. Arrighi, G. Georgiou, S. Takada, M. Schalk, M. Urdampilleta, A. Ludwig, A. D. Wieck, P. Armagnat, T. Kloss, X. Waintal, T. Meunier, and C. Bäuerle, “Unveiling the bosonic nature of an ultrashort few-electron pulse,” Nat. Commun. 9(2811), 7 (2018).
https://doi.org/10.1038/s41467-018-05203-7

3. G. Georgiou, C. Geffroy, C. Bäuerle, and J.-F. Roux, “Efficient three-dimensional photonic–plasmonic photoconductive switches for picosecond THz pulses,” ACS Photonics 7, 1444 (2020). https://doi.org/10.1021/acsphotonics.0c00044

4. M. Aluffi, T. Vasselon, S. Ouacel, H. Edlbauer, C. Geffroy, P. Roulleau, D. Christian Glattli, G. Georgiou, and C. Bäuerle, “Ultrashort electron wave packets via frequency-comb synthesis,” Phys. Rev. Appl. 20, 034005 (2023). https://doi.org/10.1103/PhysRevApplied.20.034005

5. A. Assouline, L. Pugliese, H. Chakraborti, S. Lee, L. Bernabeu, M. Jo, K. Watanabe, T. Taniguchi, D. C. Glattli, N. Kumada, H.-S. Sim, F. D. Parmentier, and P. Roulleau, “Emission and coherent control of levitons in graphene,” Science 382, 1260 (2023). https://doi.org/10.1126/science.adf9887

6. K. Yoshioka, G. Bernard, T. Wakamura, M. Hashisaka, K.-i. Sasaki, S. Sasaki, K. Watanabe, T. Taniguchi, and N. Kumada, “On-chip transfer of ultrashort graphene plasmon wave packets using terahertz electronics,” Nat. Electron. 7, 537 (2024). https://doi.org/10.1038/s41928-024-01197-x

7. S. Ouacel, L. Mazzella, T. Kloss, M. Aluffi, T. Vasselon, H. Edlbauer, J. Wang, C. Geffroy, J. Shaju, A. Ludwig, A. D. Wieck, M. Yamamoto, D. Pomaranski, S. Takada, N.-H. Kaneko, G. Georgiou, X. Waintal, M. Urdampilleta, H. Sellier, and C. Bäuerle, “Electronic interferometry with ultrashort plasmonic pulses,” Nat. Commun. 16, 4632 (2025).
https://doi.org/10.1038/s41467-025-58939-4

8. H. Bartolomei, E. Frigerio, M. Ruelle, G. Rebora, Y. Jin, U. Gennser, A. Cavanna, E. Baudin, J.-M. Berroir, I. Safi, P. Degiovanni, G. C. Ménard, and G. Fève, “Time-resolved sensing of electromagnetic fields with single-electron interferometry,” Nat. Nanotechnol. 20, 596 (2025). https://doi.org/10.1038/s41565-025-01888-2

9. S. Takada, G. Georgiou, J. Wang, Y. Okazaki, S. Nakamura, D. Pomaranski, A. Ludwig, A. D. Wieck, M. Yamamoto, C. Bäuerle, and N.-H. Kaneko, “Eigenstate control of plasmon wavepackets with electron-channel blockade,” Nat. Commun. 16, 9942 (2025). https://doi.org/10.1038/s41467-025-64876-z

10. C. Bäuerle, D. C. Glattli, T. Meunier, F. Portier, P. Roche, P. Roulleau, S. Takada, and X. Waintal, “Coherent control of single electrons: A review of current progress,” Rep. Progr. Phys. 81, 056503 (2018). https://doi.org/10.1088/1361-6633/aaa98a

11. L. S. Levitov, H.-W. Lee, and G. B. Lesovik, “Electron counting statistics and coherent states of electric current,” J. Math. Phys. 37, 4845 (1996). https://doi.org/10.1063/1.531672

12. D. A. Ivanov, H. W. Lee, and L. S. Levitov, “Coherent states of alternating current,” Phys. Rev. B 56, 6839 (1997). https://doi.org/10.1103/PhysRevB.56.6839

13. J. Keeling, I. Klich, and L. S. Levitov, “Minimal excitation states of electrons in one-dimensional wires,” Phys. Rev. Lett. 97, 116403 (2006). https://doi.org/10.1103/PhysRevLett.97.116403

14. J. Dubois, T. Jullien, F. Portier, P. Roche, A. Cavanna, Y. Jin, W. Wegscheider, P. Roulleau, and D. C. Glattli, “Minimal-excitation states for electron quantum optics using levitons,” Nature 502, 659 (2013). https://doi.org/10.1038/nature12713

15. B. Gaury, J. Weston, and X. Waintal, “Stopping electrons with radio-frequency pulses in the quantum Hall regime,” Phys. Rev. B 90, 161305 (2014). https://doi.org/10.1103/PhysRevB.90.161305

16. B. Gaury and X. Waintal, “Dynamical control of interference using voltage pulses in the quantum regime,” Nat. Commun. 5, 3844 (2014). https://doi.org/10.1038/ncomms4844

17. B. Gaury, J. Weston, and X. Waintal, “The a.c. josephson effect without superconductivity,” Nat. Commun. 6, 6524 (2015). https://doi.org/10.1038/ncomms7524

18. P. Portugal, F. Brange, and C. Flindt, “Heat pulses in electron quantum optics,” Phys. Rev. Lett. 132, 256301 (2024). https://doi.org/10.1103/PhysRevLett.132.256301

19. M. Saha, L. Horray, P. Portugal, and C. Flindt, “Negative currents in fabry-pérot cavities are caused by interfering paths,” Phys. Rev. B 112, L081408 (2025). https://doi.org/10.1103/36rq-15v7

20. T. Kloss and X. Waintal, “Propagation of ultrashort voltage pulses through a small quantum dot,” Phys. Rev. B 111, 235411 (2025). https://doi.org/10.1103/PhysRevB.111.235411

21. M. Büttiker, “Capacitance, admittance, and rectification properties of small conductors,” J. Phys.: Condens. Matter 5, 9361 (1993). https://doi.org/10.1088/0953-8984/5/50/017

22. M. Büttiker, “Time-dependent current partition in mesoscopic conductors,” Il Nuovo Cimento B 110, 509 (1995). https://doi.org/10.1007/BF02741461

23. J. T. Chalker, Y. Gefen, and M. Y. Veillette, “Decoherence and interactions in an electronic mach–zehnder interferometer,” Phys. Rev. B 76, 085320 (2007). https://doi.org/10.1103/PhysRevB.76.085320

24. Y. Ji, Y. Chung, D. Sprinzak, M. Heiblum, D. Mahalu, and H. Shtrikman, “An electronic mach–zehnder interferometer,” Nature 422, 415 (2003). https://doi.org/10.1038/nature01503

25. B. Gaury and X. Waintal, “A computational approach to quantum noise in time-dependent nanoelectronic devices,” Physica E 75, 72 (2016). https://doi.org/10.1016/j.physe.2015.09.009

26. J. W. Negele and H. Orland, Quantum Many-Particle Systems (CRC Press, 2018).

27. J. Nakamura, S. Liang, G. C. Gardner, and M. J. Manfra, “Direct observation of anyonic braiding statistics,” Nat. Phys. 16, 931 (2020). https://doi.org/10.1038/s41567-020-1019-1

28. J. Nakamura, S. Liang, G. C. Gardner, and M. J. Manfra, “Impact of bulk-edge coupling on observation of anyonic braiding statistics in quantum Hall interferometers,” Nat. Commun. 13, 344 (2022). https://doi.org/10.1038/s41467-022-27958-w

29. S. M. Frolov, P. Zhang, B. Zhang, Y. Jiang, S. Byard, S. R. Mudi, J. Chen, A.-H. Chen, M. Hocevar, M. Gupta, C. Riggert, and V. S. Pribiag, “Data sharing helps avoid “smoking gun” claims of topological milestones,” Science 391, 137 (2026). https://doi.org/10.1126/science.adk9181

30. S. Byard, M. Gomanko, and S. M. Frolov, “Apparent fractional charge signatures in PbTe quantum dots due to capacitively coupled charge trap dynamics,” Low Temp. Phys. 52(9), 1132–1135 (2026) [Fiz. Nyzk. Temp. 52, 1132–1135 (2026)].

31. T. Kloss, J. Weston, B. Gaury, B. Rossignol, C. Groth, and X. Waintal, “Tkwant: A software package for time-dependent quantum transport,” New J. Phys. 23, 023025 (2021). https://doi.org/10.1088/1367-2630/abddf7

32. Tkwant: A Python package for time-dependent quantum transport, https://tkwant.kwant-project.org/ (2021).

33. C. W. Groth, M. Wimmer, A. R. Akhmerov, and X. Waintal, “Kwant: A software package for quantum transport,” New J. Phys. 16, 063065 (2014). https://doi.org/10.1088/1367-2630/16/6/063065

34. X. Waintal, M. Wimmer, A. Akhmerov, C. Groth, B. K. Nikolić, M. Istas, T. O. Rosdahl, and D. Varjas, Computational quantum transport (2024), arXiv preprint, arXiv:2407.16257 [cond-mat.mes-hall].

35. P. Armagnat, A. Lacerda-Santos, B. Rossignol, C. Groth, and X. Waintal, “The self-consistent quantum-electrostatic problem in strongly non-linear regime,” Sci. Post Phys. 7, 031 (2019). https://doi.org/10.21468/SciPostPhys.7.3.031

36. T. Kloss, J. Weston, and X. Waintal, “Transient and sharvin resistances of luttinger liquids,” Phys. Rev. B 97, 165134 (2018). https://doi.org/10.1103/PhysRevB.97.165134

37. A. P. Micolich, “What lurks below the last plateau experimental studies of the 0.7 × 2e2/h conductance anomaly in one-dimensional systems,” J. Phys.: Condens. Matter 23, 443201 (2011). https://doi.org/10.1088/0953-8984/23/44/443201

38. C. Bäuerle, Private communication (2025).

39. D. B. Chklovskii, B. I. Shklovskii, and L. I. Glazman, “Electrostatics of edge channels,” Phys. Rev. B 46, 4026 (1992). https://doi.org/10.1103/PhysRevB.46.4026

40. Y. N. Fernández, M. Jeannin, P. T. Dumitrescu, T. Kloss, J. Kaye, O. Parcollet, and X. Waintal, “Learning feynman diagrams with tensor trains,” Phys. Rev. X 12, 041018 (2022). https://doi.org/10.1103/PhysRevX.12.041018

41. B. I. Halperin, P. A. Lee, and N. Read, “Theory of the half-filled landau level,” Phys. Rev. B 47, 7312 (1993). https://doi.org/10.1103/PhysRevB.47.7312

42. E. Chatzikyriakou, J. Wang, L. Mazzella, A. Lacerda Santos, M. C. da Silva Figueira, A. Trellakis, S. Birner, T. Grange, C. Bäuerle, and X. Waintal, “Unveiling the charge distribution of a GaAs-based nanoelectronic device: A large experimental dataset approach,” Phys. Rev. Res. 4, 043163 (2022). https://doi.org/10.1103/PhysRevResearch.4.043163

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2026-07-28

Як цитувати

(1)
Prasoon Kumar, Thomas Kloss, and Xavier Waintal, Effect of electron-electron interactions on the propagation of ultrashort voltage pulses in a Mach–Zehnder interferometer, Low Temp. Phys. 52, 1036–1047, (2026) [Fiz. Nyzk. Temp. 52, 1146–1158, (2026)] DOI: https://doi.org/10.1063/10.0044811.

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