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Nonlinear electron–phonon interactions in a quantum dot phonon cavity

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  • Qu, Jing
  • Shang, Man-Yu
  • Nian, Lei-Lei

Abstract

Controlling electron transport and statistical properties in a quantum dot phonon cavity has been extensively studied, yet most are focused on the linear electron–phonon interactions. By introducing a nonlinear version in which the quantum dot couples to the cavity mode through a k-phonon interaction, we show that it is possible to switch the transport channels from opening to blocking by simply adjusting k-phonon-mediated inelastic processes, and also reveal the resultant nonthermal phonon transition from antibunching to superbunching. In the lasing transitions, a bistable phonon emission for k≥2 is generated, and its applications in work extraction can go beyond those of traditional coherent states. Our results pave the way for designing current switches and generating nonthermal phonon statistics in quantum dot devices.

Suggested Citation

  • Qu, Jing & Shang, Man-Yu & Nian, Lei-Lei, 2025. "Nonlinear electron–phonon interactions in a quantum dot phonon cavity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 677(C).
    • Handle: RePEc:eee:phsmap:v:677:y:2025:i:c:s037843712500562x
    DOI: 10.1016/j.physa.2025.130910
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    1. Michał Horodecki & Jonathan Oppenheim, 2013. "Fundamental limitations for quantum and nanoscale thermodynamics," Nature Communications, Nature, vol. 4(1), pages 1-6, October.
    2. D. I. Schuster & A. A. Houck & J. A. Schreier & A. Wallraff & J. M. Gambetta & A. Blais & L. Frunzio & J. Majer & B. Johnson & M. H. Devoret & S. M. Girvin & R. J. Schoelkopf, 2007. "Resolving photon number states in a superconducting circuit," Nature, Nature, vol. 445(7127), pages 515-518, February.
    3. Yuma Okazaki & Imran Mahboob & Koji Onomitsu & Satoshi Sasaki & Hiroshi Yamaguchi, 2016. "Gate-controlled electromechanical backaction induced by a quantum dot," Nature Communications, Nature, vol. 7(1), pages 1-6, September.
    4. A. Wallraff & D. I. Schuster & A. Blais & L. Frunzio & R.- S. Huang & J. Majer & S. Kumar & S. M. Girvin & R. J. Schoelkopf, 2004. "Strong coupling of a single photon to a superconducting qubit using circuit quantum electrodynamics," Nature, Nature, vol. 431(7005), pages 162-167, September.
    5. I. Chiorescu & P. Bertet & K. Semba & Y. Nakamura & C. J. P. M. Harmans & J. E. Mooij, 2004. "Coherent dynamics of a flux qubit coupled to a harmonic oscillator," Nature, Nature, vol. 431(7005), pages 159-162, September.
    6. O. Astafiev & K. Inomata & A. O. Niskanen & T. Yamamoto & Yu. A. Pashkin & Y. Nakamura & J. S. Tsai, 2007. "Single artificial-atom lasing," Nature, Nature, vol. 449(7162), pages 588-590, October.
    7. K. D. Petersson & L. W. McFaul & M. D. Schroer & M. Jung & J. M. Taylor & A. A. Houck & J. R. Petta, 2012. "Circuit quantum electrodynamics with a spin qubit," Nature, Nature, vol. 490(7420), pages 380-383, October.
    8. J. McKeever & A. Boca & A. D. Boozer & J. R. Buck & H. J. Kimble, 2003. "Experimental realization of a one-atom laser in the regime of strong coupling," Nature, Nature, vol. 425(6955), pages 268-271, September.
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