Abstract
Stochastic resonance is a phenomenon in which adding random noise to a system enhances the detection or transmission of a weak signal. It occurs when the noise interacts with the system’s nonlinearity, thus improving signal-to-noise ratio and increasing sensitivity. Although parametric resonances in an atomic spinor Bose-Einstein condensate have been investigated, the question of whether one can observe stochastic resonance in such a system persists. In this study we propose a scheme for generating stochastic resonance in a cavity-spinor Bose-Einstein condensate coupling system. We demonstrate stochastic resonance through numerical calculations using the mean-field theory and truncated Wigner approximation methods. Furthermore, the characteristics of the system’s response to noise and periodic signals are studied in detail. This study unravels a new scheme for observing stochastic resonance via linking atomic many-body physics with cavity quantum electrodynamics.
References
R. Benzi, A. Sutera, and A. Vulpiani, J. Phys. A-Math. Gen. 14, L453 (1981).
H. Wu, A. Joshi, and M. Xiao, J. Modern Opt. 54, 2441 (2007).
L. Gammaitoni, P. Hanggi, P. Jung, and F. Marchesoni, Rev. Mod. Phys. 70, 223 (1998).
R. Benzi, G. Parisi, A. Sutera, and A. Vulpiani, SIAM J. Appl. Math. 43, 565 (1983).
T. Wellens, V. Shatokhin, and A. Buchleitner, Rep. Prog. Phys. 67, 45 (2004).
D. S. Leonard, and L. E. Reichl, Phys. Rev. E 49, 1734 (1994).
C. Escudero, Phys. Rev. E 74, 010103 (2006).
D. Mondal, and M. Muthukumar, J. Chem. Phys. 144, (2016).
B. Kosko, and S. Mitaim, Phys. Rev. E 64, 051110 (2001).
Z. Shao, Z. Yin, H. Song, W. Liu, X. Li, J. Zhu, K. Biermann, L. L. Bonilla, H. T. Grahn, and Y. Zhang, Phys. Rev. Lett. 121, 086806 (2018).
D. R. Chialvo, A. Longtin, and J. Müller-Gerking, Phys. Rev. E 55, 1798 (1997).
V. Galdi, V. Pierro, and I. M. Pinto, Phys. Rev. E 57, 6470 (1998).
A. Longtin, J. Stat. Phys. 70, 309 (1993).
F. Moss, Clin. Neurophysiol. 115, 267 (2004).
R. Lofstedt, and S. N. Coppersmith, Phys. Rev. Lett. 72, 1947 (1994).
A. N. Omelyanchouk, S. Savelev, A. M. Zagoskin, E. Ilichev, and F. Nori, Phys. Rev. B 80, 212503 (2009).
D. Witthaut, J. Phys. B-At. Mol. Opt. Phys. 45, 225501 (2012).
Q. Qiu, S. Tao, C. Liu, S. Guan, M. Xie, and B. Fan, Phys. Rev. A 96, 063808 (2017).
B. Fan, and M. Xie, Phys. Rev. A 95, 023808 (2017).
Q. Mu, X. Zhao, and T. Yu, Phys. Rev. A 94, 012334 (2016).
M. Xie, B. Fan, X. He, and Q. Chen, Phys. Rev. E 98, 052202 (2018).
D. Yu, M. Xie, Y. Cheng, and B. Fan, Opt. Express 26, 32433 (2018).
S. F. Huelga, and M. B. Plenio, Phys. Rev. Lett. 98, 170601 (2007).
X. X. Yi, C. S. Yu, L. Zhou, and H. S. Song, Phys. Rev. A 68, 052304 (2003).
K. Murali, S. Sinha, W. L. Ditto, and A. R. Bulsara, Phys. Rev. Lett. 102, 104101 (2009).
K. P. Singh, and S. Sinha, Phys. Rev. E 83, 046219 (2011).
Y. Xu, X. Jin, and H. Zhang, Phys. Rev. E 88, 052721 (2013).
K. Murali, S. Rajasekar, M. V. Aravind, V. Kohar, W. L. Ditto, and S. Sinha, Phil. Trans. R. Soc. A. 379, 20200238 (2021).
D. Witthaut, F. Trimborn, and S. Wimberger, Phys. Rev. A 79, 033621 (2009).
K. Hayashi, S. de Lorenzo, M. Manosas, J. M. Huguet, and F. Ritort, Phys. Rev. X 2, 031012 (2012).
F. Trimborn, D. Witthaut, H. Hennig, G. Kordas, T. Geisel, and S. Wimberger, Eur. Phys. J. D 63, 63 (2011).
T. Wagner, P. Talkner, J. C. Bayer, E. P. Rugeramigabo, P. Hanggi, and R. J. Haug, Nat. Phys. 15, 330 (2019).
S. F. Huelga, and M. B. Plenio, Phys. Rev. A 62, 052111 (2000).
H. H. Adamyan, S. B. Manvelyan, and G. Y. Kryuchkyan, Phys. Rev. A 63, 022102 (2001).
M. Grifoni, and P. Hanggi, Phys. Rev. Lett. 76, 1611 (1996).
D. Witthaut, F. Trimborn, and S. Wimberger, Phys. Rev. Lett. 101, 200402 (2008).
T. M. Hoang, M. Anquez, B. A. Robbins, X. Y. Yang, B. J. Land, C. D. Hamley, and M. S. Chapman, Nat. Commun. 7, 11233 (2016).
B. Evrard, A. Qu, K. Jimenez-Garcia, J. Dalibard, and F. Gerbier, Phys. Rev. A 100, 023604 (2019).
D. M. Stamper-Kurn, and M. Ueda, Rev. Mod. Phys. 85, 1191 (2013).
Y. Kawaguchi, and M. Ueda, Phys. Rep. 520, 253 (2012).
H. Pu, C. K. Law, S. Raghavan, J. H. Eberly, and N. P. Bigelow, Phys. Rev. A 60, 1463 (1999).
H. Pu, S. Raghavan, and N. P. Bigelow, Phys. Rev. A 61, 023602 (2000).
W. Zhang, D. L. Zhou, M. S. Chang, M. S. Chapman, and L. You, Phys. Rev. A 72, 013602 (2005).
Y.-Q. Zou, L.-N. Wu, Q. Liu, X. Luo, S.-F Guo, J.-H. Cao, M. Tey, and L. You, Proc. Natl. Acad. Sci. USA 115, 6381 (2018).
Q. Liu, L. N. Wu, J. H. Cao, T. W. Mao, X. W. Li, S. F. Guo, M. K. Tey, and L. You, Nat. Phys. 18, 167 (2022).
Y. Imaeda, K. Fujimoto, and Y. Kawaguchi, Phys. Rev. Res. 3, 043090 (2021).
K. Fujimoto, and S. Uchino, Phys. Rev. Res. 1, 033132 (2019).
P. Xu, and W. Zhang, Phys. Rev. A 104, 023324 (2021).
Y. Zhang, Y. Chen, H. Lyu, and Y. Zhang, Phys. Rev. Res. 5, 023160 (2023).
L. Zhou, H. Pu, H. Y. Ling, and W. Zhang, Phys. Rev. Lett. 103, 160403 (2009).
Z. C. Li, Q. H. Jiang, Z. Lan, W. Zhang, and L. Zhou, Phys. Rev. A 100, 033617 (2019).
F. Mivehvar, F. Piazza, T. Donner, and H. Ritsch, Adv. Phys. 70, 1 (2021).
T. L. Ho, Phys. Rev. Lett. 81, 742 (1998).
H. Ritsch, P. Domokos, F. Brennecke, and T. Esslinger, Rev. Mod. Phys. 85, 553 (2013).
L. Zhou, H. Pu, H. Y. Ling, K. Zhang, and W. Zhang, Phys. Rev. A 81, 063641 (2010).
L. Gammaitoni, F. Marchesoni, and S. Santucci, Phys. Rev. Lett. 74, 1052 (1995).
R. W. Boyd, Nonlinear Optics (Academic Press, Boston, 2003).
A. Sinatra, C. Lobo, and Y. Castin, J. Phys. B-At. Mol. Opt. Phys. 35, 3599 (2002).
P. B. Blakie, A. S. Bradley, M. J. Davis, R. J. Ballagh, and C. W. Gardiner, Adv. Phys. 57, 363 (2008).
A. Polkovnikov, Ann. Phys. 325, 1790 (2010).
J. G. Cosme, and O. Fialko, Phys. Rev. A 90, 053602 (2014).
G. Kordas, S. Wimberger, and D. Witthaut, Phys. Rev. A 87, 043618 (2013).
Y. Kawaguchi, and M. Ueda, Phys. Rev. A 84, 053616 (2011).
M. Grifoni, and P. Hanggi, Phys. Rev. E 54, 1390 (1996).
S. Dello Russo, A. Elefante, D. Dequal, D. K. Pallotti, L. Santamaria Amato, F. Sgobba, and M. Siciliani de Cumis, Photonics 9, 470 (2022).
B. Megyeri, G. Harvie, A. Lampis, and J. Goldwin, Phys. Rev. Lett. 121, 163603 (2018).
S. Schuster, P. Wolf, D. Schmidt, S. Slama, and C. Zimmermann, Phys. Rev. Lett. 121, 223601 (2018).
D. Witthaut, F. Trimborn, and S. Wimberger, Phys. Rev. A 79, 033621 (2009).
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This work was supported by the Innovation Program for Quantum Science and Technology (Grant No. 2021ZD0303200), the National Natural Science Foundation of China (Grant Nos. 12074120, 12234014, 11654005, 11964014, and 12364046), the Shanghai Municipal Science and Technology Major Project (Grant No. 2019SHZDZX01), the National Key Research and Development Program of China (Grant No. 2016YFA0302001), the Innovation Program of the Shanghai Municipal Education Commision (Grant No. 202101070008E00099), the Major Discipline Academic and Technical Leader Training Program of Jiangxi Province (Grant No. 20204BCJ23026), and the Fundamental Research Funds for the Central Universities. Weiping Zhang acknowledges additional support from the Shanghai Talent Program.
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Li, ZC., Fan, B., Zhou, L. et al. Stochastic resonance of spinor condensates in optical cavity. Sci. China Phys. Mech. Astron. 67, 233011 (2024). https://doi.org/10.1007/s11433-023-2278-2
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DOI: https://doi.org/10.1007/s11433-023-2278-2