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Non-Hermitian non-equipartition theory for trapped particles

Author

Listed:
  • Xiao Li

    (Southern University of Science and Technology, Shenzhen
    The Hong Kong University of Science and Technology)

  • Yongyin Cao

    (School of Physics, Harbin Institute of Technology)

  • Jack Ng

    (Southern University of Science and Technology, Shenzhen)

Abstract

The equipartition theorem is an elegant cornerstone theory of thermal and statistical physics. However, it fails to address some contemporary problems, such as those associated with optical and acoustic trapping, due to the non-Hermitian nature of the external wave-induced force. We use stochastic calculus to solve the Langevin equation and thereby analytically generalize the equipartition theorem to a theory that we denote the non-Hermitian non-equipartition theory. We use the non-Hermitian non-equipartition theory to calculate the relevant statistics, which reveal that the averaged kinetic and potential energies are no longer equal to kBT/2 and are not equipartitioned. As examples, we apply non-Hermitian non-equipartition theory to derive the connection between the non-Hermitian trapping force and particle statistics, whereby measurement of the latter can determine the former. Furthermore, we apply a non-Hermitian force to convert a saddle potential into a stable potential, leading to a different type of stable state.

Suggested Citation

  • Xiao Li & Yongyin Cao & Jack Ng, 2024. "Non-Hermitian non-equipartition theory for trapped particles," Nature Communications, Nature, vol. 15(1), pages 1-9, December.
    • Handle: RePEc:nat:natcom:v:15:y:2024:i:1:d:10.1038_s41467-024-46058-5
    DOI: 10.1038/s41467-024-46058-5
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    References listed on IDEAS

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    1. Michel Fruchart & Ryo Hanai & Peter B. Littlewood & Vincenzo Vitelli, 2021. "Non-reciprocal phase transitions," Nature, Nature, vol. 592(7854), pages 363-369, April.
    2. Fei Han & John A. Parker & Yuval Yifat & Curtis Peterson & Stephen K. Gray & Norbert F. Scherer & Zijie Yan, 2018. "Crossover from positive to negative optical torque in mesoscale optical matter," Nature Communications, Nature, vol. 9(1), pages 1-8, December.
    3. Deyuan Zou & Tian Chen & Wenjing He & Jiacheng Bao & Ching Hua Lee & Houjun Sun & Xiangdong Zhang, 2021. "Observation of hybrid higher-order skin-topological effect in non-Hermitian topolectrical circuits," Nature Communications, Nature, vol. 12(1), pages 1-11, December.
    4. Bikashkali Midya & Han Zhao & Liang Feng, 2018. "Non-Hermitian photonics promises exceptional topology of light," Nature Communications, Nature, vol. 9(1), pages 1-4, December.
    5. V. Svak & O. Brzobohatý & M. Šiler & P. Jákl & J. Kaňka & P. Zemánek & S. H. Simpson, 2018. "Transverse spin forces and non-equilibrium particle dynamics in a circularly polarized vacuum optical trap," Nature Communications, Nature, vol. 9(1), pages 1-8, December.
    6. Asier Marzo & Sue Ann Seah & Bruce W. Drinkwater & Deepak Ranjan Sahoo & Benjamin Long & Sriram Subramanian, 2015. "Holographic acoustic elements for manipulation of levitated objects," Nature Communications, Nature, vol. 6(1), pages 1-7, December.
    7. Xiao Li & Yineng Liu & Zhifang Lin & Jack Ng & C. T. Chan, 2021. "Non-Hermitian physics for optical manipulation uncovers inherent instability of large clusters," Nature Communications, Nature, vol. 12(1), pages 1-9, December.
    8. Li Zhang & Yihao Yang & Yong Ge & Yi-Jun Guan & Qiaolu Chen & Qinghui Yan & Fujia Chen & Rui Xi & Yuanzhen Li & Ding Jia & Shou-Qi Yuan & Hong-Xiang Sun & Hongsheng Chen & Baile Zhang, 2021. "Acoustic non-Hermitian skin effect from twisted winding topology," Nature Communications, Nature, vol. 12(1), pages 1-7, December.
    9. David G. Grier, 2003. "A revolution in optical manipulation," Nature, Nature, vol. 424(6950), pages 810-816, August.
    10. Oto Brzobohatý & Martin Duchaň & Petr Jákl & Jan Ježek & Martin Šiler & Pavel Zemánek & Stephen H. Simpson, 2023. "Synchronization of spin-driven limit cycle oscillators optically levitated in vacuum," Nature Communications, Nature, vol. 14(1), pages 1-10, December.
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