• Advanced Photonics
  • Vol. 6, Issue 4, 046001 (2024)
Xinyuan Hu1,†, Shulin Wang1, Chengzhi Qin1,*, Chenyu Liu1..., Lange Zhao1, Yinglan Li1, Han Ye1, Weiwei Liu1,2, Stefano Longhi3,4,*, Peixiang Lu1,2,* and Bing Wang1,*|Show fewer author(s)
Author Affiliations
  • 1Huazhong University of Science and Technology, School of Physics, Wuhan National Laboratory for Optoelectronics, Wuhan, China
  • 2Wuhan Institute of Technology, Hubei Key Laboratory of Optical Information and Pattern Recognition, Wuhan, China
  • 3Politecnico di Milano, Dipartimento di Fisica, Milano, Italy
  • 4IFISC (UIB-CSIC), Instituto de Fisica Interdisciplinary Sistemas Complejos, Palma de Mallorca, Spain
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    DOI: 10.1117/1.AP.6.4.046001 Cite this Article Set citation alerts
    Xinyuan Hu, Shulin Wang, Chengzhi Qin, Chenyu Liu, Lange Zhao, Yinglan Li, Han Ye, Weiwei Liu, Stefano Longhi, Peixiang Lu, Bing Wang, "Observing the collapse of super-Bloch oscillations in strong-driving photonic temporal lattices," Adv. Photon. 6, 046001 (2024) Copy Citation Text show less

    Abstract

    Super-Bloch oscillations (SBOs) are amplified versions of direct current (dc)-driving Bloch oscillations realized under the detuned dc- and alternating current (ac)-driving electric fields. A unique feature of SBOs is the coherent oscillation inhibition via the ac-driving renormalization effect, which is dubbed as the collapse of SBOs. However, previous experimental studies on SBOs have only been limited to the weak ac-driving regime, and the collapse of SBOs has not been observed. Here, by harnessing a synthetic temporal lattice in fiber-loop systems, we push the ac-field into a strong-driving regime and observe the collapse of SBOs, which manifests as the oscillation-trajectory localization at specific ac-driving amplitudes and oscillation-direction flip by crossing collapse points. By adopting arbitrary-wave ac-driving fields, we also realize generalized SBOs with engineered collapse conditions. Finally, we exploit the oscillation-direction flip features to design tunable temporal beam routers and splitters. We initiate and demonstrate the collapse of SBOs, which may feature applications in coherent wave localization control for optical communications and signal processing.
    {unm+1=[cos(β)un+1m+isin(β)vn+1m]eiϕu(m),vnm+1=[isin(β)un1m+cos(β)vn1m]eiϕv(m),

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    θ±(k)=±cos(β)cos(k)π2.

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    k(m)=kAeff(m)=k+(Nωac+δ)mEωcos(ωacm+φ),

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    θ±(k)=1Mac0Macθ±[k(m)]dm=JN(Eω)cos(β)cos[k+δmN(φ+π2)]π2,

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    vg,±(k)=θ±(k)k=JN(Eω)cos(β)sin[k+δmN(φ+π2)].

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    Δn±(m)=0Macvg,±(k)dm=±JN(Eω)cos(β)δ{cos[δm+kN(φ+π2)]cos[kN(φ+π2)]}.

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    Δn±(m)=ASBOs[cos(ωSBOsm+φSBOs)cos(φSBOs)],

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    ASBOs=|JN(Eω)cos(β)δ|,(8a)

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    ωSBOs=|δ|,MSBOs=|2πδ|,(8b)

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    φSBOs,+=kN(φ+π2),(8c)

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    vg,±(m)=dθ±[k(m)]dk=±cos(β)sin[k+(Nωac+δ)mEωcos(ωacm+φ)],

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    Δn±(m)=0+A(ω)cos(ωm+φω)dω,=ASBOscos(ωSBOsm+φSBOs)+0,ωωSBOs+A(ω)cos(ωm+φω)dω,

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    RSBOs=|ASBOs|20+|A(ω)|2dω,

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    σ(ω)=α+ω2|A(ω)|2dω0+|A(ω)|2dω.

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    Eeff(m)={Eac,m[0,Mac/2)Eac,m[Mac/2,Mac).

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    Δn±(m)=±f(Eω)cos(β)δ[cos(δm+k)cos(k)],

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    f(Eω)=2Eωsin[π(Eω+N)/2]π(Eω+N)(EωN).

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    Eeff(m)={Eac4Eacm/Mac,m[0,Mac/2)Eac+4Eac(mMac/2)/Mac,m[Mac/2,Mac),

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    f(Eω)=12Eω{cos(x)[C(x+)+C(x)]sin(x)[S(x+)+S(x)]},

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    ASBOs=|f(Eω)cos(β)δ|,(18a)

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    ωSBOs=|δ|,MSBOs=|2πδ|,(18b)

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    φSBOs,+=k.(18c)

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    Xinyuan Hu, Shulin Wang, Chengzhi Qin, Chenyu Liu, Lange Zhao, Yinglan Li, Han Ye, Weiwei Liu, Stefano Longhi, Peixiang Lu, Bing Wang, "Observing the collapse of super-Bloch oscillations in strong-driving photonic temporal lattices," Adv. Photon. 6, 046001 (2024)
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