基于驱动频率的非线性系统量子隧穿调控

doi:10.3969/j.issn.1000-1565.2026.01.005

河北大学学报(自然科学版) ›› 2026, Vol. 46 ›› Issue (1): 42-47.DOI: 10.3969/j.issn.1000-1565.2026.01.005

• • 上一篇

基于驱动频率的非线性系统量子隧穿调控

姚静曦,张世辉,于国梁

收稿日期:2025-03-24 发布日期:2026-01-16
通讯作者: 张世辉(1980—)
作者简介:姚静曦(1998—),女,华北电力大学在读硕士研究生,主要从事量子调控方向研究.E-mail:1501789283@qq.com
基金资助:
河北省自然科学基金面上项目(A2024502002)

Quantum tunneling control in nonlinear systems via driving frequency

YAO Jingxi, ZHANG Shihui, YU Guoliang

Hebei Key Laboratory of Physics and Energy Technology, Department of Mathematics and Physics, North China Electric Power University, Baoding 071003, China

Received:2025-03-24 Published:2026-01-16

摘要/Abstract

摘要： 为探索外界驱动对量子波包演化的影响,寻找通过外界驱动调控系统量子隧穿效应的方法,基于劈裂算符法数值模拟量子波包的演化,分析了量子隧穿特性.结果表明,驱动频率显著影响量子隧穿效应,显著增强在势阱间的转移效率.最大隧穿概率可达无驱动情形的50倍.上述现象和驱动频率调制导致的波包相空间动态弥散密切相关.

关键词: 驱动系统, 波包, 隧穿效应, 量子调控

Abstract: This study investigates the evolution behavior of quantum wave packets in a one-dimensional nonlinear driven system, aiming to explore the impact of external driving on the evolution of quantum wave packets and seek methods to regulate the quantum tunneling effect of the system through external driving. The research numerically simulates the evolution of quantum wavepackets based on the split-operator method and analyzes the quantum tunneling characteristics. The results indicate that the driving frequency significantly influences the quantum tunneling effect, remarkably enhancing the transfer efficiency between potential wells. The maximum tunneling probability can reach 50 times that of the no-driving scenario. This phenomenon is closely related to the dynamic dispersion of wave packets in phase space caused by the modulation of driving frequency.

Key words: driven systems, wave packets, tunneling effect, quantum control

中图分类号:

O413.1

姚静曦,张世辉,于国梁. 基于驱动频率的非线性系统量子隧穿调控[J]. 河北大学学报(自然科学版), 2026, 46(1): 42-47.

YAO Jingxi, ZHANG Shihui, YU Guoliang. Quantum tunneling control in nonlinear systems via driving frequency[J]. Journal of Hebei University(Natural Science Edition), 2026, 46(1): 42-47.

参考文献

[1] BAYER J C, BRANGE F, SCHMIDT A, et al. Real-time detection and control of correlated charge tunneling in a quantum dot[J]. Phys Rev Lett, 2025, 134(4): 046303.DOI:10.1103/physrevlett.134.046303.
[2] HARPER K C, MOSCHETTA E G, BORDAWEKAR S V, et al. A laser driven flow chemistry platform for scaling photochemical reactions with visible light[J]. ACS Cent Sci, 2019, 5(1): 109-115.DOI:10.1021/acscentsci.8b00728.
[3] 申博仁,毛亦嘉,何明睿,等.量子光场驱动下氢原子强场电离的研究[J]. Acta Optica Sinica, 2024, 44(17): 1732020-1732020-7.
[4] MURALI A, GUHA SARKAR T, BANDYOPADHYAY J N. Adiabatic modulation of driving protocols in periodically driven quantum systems[J]. Phys Rev A, 2025, 111(2): 022430. DOI:10.1103/physreva.111.022430.
[5] ZHOU S H, CHEN K, COLE M T, et al. Ultrafast electron tunneling devices-from electric-field driven to optical-field driven[J]. Adv Mater, 2021, 33(35): e2101449.DOI:10.1002/adma.202101449.
[6] KIM M, PALLECCHI E, GE R J, et al. Analogue switches made from boron nitride monolayers for application in 5G and terahertz communication systems[J]. Rev Mod Phys, 2020, 3: 479-485.DOI:10.1038/s41928-020-0416-x.
[7] DOMBI P, PáPA Z, VOGELSANG J, et al. Strong-field nano-optics[J]. Rev Mod Phys, 2020, 92(2): 025003.DOI:10.1103/revmodphys.92.025003.
[8] MORI T. Floquet states in open quantum systems[J]. Annu Rev Condens Matter Phys, 2023, 14: 35-56.DOI:10.1146/annurev-conmatphys-040721-015537.
[9] REYNOSO M A P, NADER D J, CHÁVEZ-CARLOS J, et al. Quantum tunneling and level crossings in the squeeze-driven Kerr oscillator[J]. Phys Rev A, 2023, 108(3): 033709.DOI:10.1103/physreva.108.033709.
[10] BÄTGE J, WANG Y, LEVY A, et al. Periodically driven open quantum systems with vibronic interaction: Resonance effects and vibrationally mediated decoupling[J]. Phys Rev B, 2023, 108(19): 195412.DOI:10.1103/physrevb.108.195412.
[11] SUN Y N, LUOMA K, LIU Z D, et al. Stationary quantum memory effects induced by a periodic time-dependent system-environment coupling[J]. Phys Rev A, 2023, 108: 012213.DOI:10.1103/physreva.108.012213.
[12] SONG P T, XIANG Z C, ZHANG Y X, et al. Coherent control of Bloch oscillations in a superconducting circuit[J]. PRX Quantum, 2024, 5(2): 020302. DOI:10.1103/PRXQuantum.5.020302.
[13] BAI S Y, CHEN C, WU H, et al.Quantum control in open and periodically driven systems[J]. Adv PhysX, 2021, 6(1): 1870559.DOI:10.1080/23746149.2020.1870559.
[14] LIN W A, BALLENTINE L E. Quantum tunneling and regular and irregular quantum dynamics of a driven double-well oscillator[J].Phys Rev A, 1992, 45(6):3637-3645.DOI:10.1103/physreva.45.3637.
[15] BATISTAAA, MOREIRA R S N, LISBOA DE SOUZA A A. Deep noise squeezing in parametrically driven resonators[EB/OL]. 2024: 2404.03758. https://arxiv.org/abs/2404.03758v3.
[16] BAN S Y, NIE X C, LEI Z H, et al. Emerging low-dimensional materials for nanoelectromechanical systems resonators[J]. Mater Res Lett, 2023, 11(1): 21-52.DOI:10.1080/21663831.2022.2111233.
[17] FERRARI P F, KIM S, VAN DER ZANDE A M. Nanoelectromechanical systems from two-dimensional materials[J]. Appl Phys Rev, 2023, 10(3): 031302.DOI:10.1063/5.0106731.
[18] MOMENI F, NADERI M H. Atomic quadrature squeezing and quantum state transfer in a hybrid atom-optomechanical cavity with two Duffing mechanical oscillators[J]. J Opt SocAmB, JOSAB, 2019, 36(3): 775-785.
[19] CHEN Q M, FISCHER M, NOJIRI Y, et al. Quantum behavior of the Duffing oscillator at the dissipative phase transition[J]. NatCommun, 2023, 14(1): 2896.DOI:10.1038/s41467-023-38217-x.
[20] ARNDT L, HASSLER F. Period tripling due to parametric down-conversion in circuit QED[J]. Phys Rev Lett, 2022, 128(18): 187701. DOI:10.1103/PhysRevLett.128.187701.
[21] BRAASCHW F, FRIEDMAN O D, RIMBERG A J, et al. Wigner current for open quantum systems[J]. PhysRev A, 2019, 100: 012124.DOI:10.1103/physreva.100.012124.
[22] IMBODEN M, MOHANTY P.Dissipation in nanoelectromechanical systems[J]. Phys Rep, 2014, 534(3): 89-146.DOI:10.1016/j.physrep.2013.09.003.
[23] FEIT M D, FLECK J A. Wave packet dynamics and chaos in the Hénon-Heiles system[J].1984, 80(6): 2578-2584. DOI:10.1063/1.447051.
[24] VOVCHANSKYI M B. A quick probability-oriented introduction to operator splitting methods[J].Theory Stoch Process, 2024, 28(44)(1):50-110. DOI:10.3842/tsp-9730669368-34.
[25] IGARASHI A, YAMADA H. Tunneling of quantum particle in parametrically driven double-well system[J].Chem Phys, 2005, 309(2/3):95-101.DOI:10.1016/j.chemphys.2004.08.016.
[26] CHRISTIE R, EASTMAN J. Quantum tunnelling and thermally driven transitions in a double-well potential at finite temperature[J].J Phys A:Math Gen, 2024, 57(23): 235005.DOI:10.1088/1751-8121/ad4b7b. (

基于驱动频率的非线性系统量子隧穿调控

Quantum tunneling control in nonlinear systems via driving frequency

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 4

编辑推荐

Metrics

本文评价

[1]	王涛,崔媛媛,李志远. 纯电动汽车用轮毂无刷电机转矩控制系统的仿真[J]. 河北大学学报(自然科学版), 2019, 39(5): 554-560.
[2]	王英龙,刘林,梁伟华,丁学成,褚立志. 钛含量对PZT/STO铁电电容器隧穿电阻的影响[J]. 河北大学学报(自然科学版), 2012, 32(6): 587-591.
[3]	陈清江,李淑玲,李学志,程正兴. 一类高维向量值双正交小波包[J]. 河北大学学报(自然科学版), 2006, 26(6): 565-569.
[4]	唐涛. 图像基于小波包变换的多尺度匹配算法[J]. 河北大学学报(自然科学版), 2006, 26(3): 319-323.