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Nonlinear resonance-assisted tunneling induced by microcavity deformation.

Kwak H, Shin Y, Moon S, Lee SB, Yang J, An K - Sci Rep (2015)

Bottom Line: It is this tunneling mechanism that induces strong inter-mode interactions in mixed phase space as their strength can be directly obtained from a separatrix area in the phase space of intracavity ray dynamics.A selection rule for strong interactions is also found in terms of angular quantum numbers.Our findings, applicable to other physical systems in mixed phase space, make the interaction control more accessible.

View Article: PubMed Central - PubMed

Affiliation: School of Physics and Astronomy, Seoul National University, Seoul 151-742, Korea.

ABSTRACT
Noncircular two-dimensional microcavities support directional output and strong confinement of light, making them suitable for various photonics applications. It is now of primary interest to control the interactions among the cavity modes since novel functionality and enhanced light-matter coupling can be realized through intermode interactions. However, the interaction Hamiltonian induced by cavity deformation is basically unknown, limiting practical utilization of intermode interactions. Here we present the first experimental observation of resonance-assisted tunneling in a deformed two-dimensional microcavity. It is this tunneling mechanism that induces strong inter-mode interactions in mixed phase space as their strength can be directly obtained from a separatrix area in the phase space of intracavity ray dynamics. A selection rule for strong interactions is also found in terms of angular quantum numbers. Our findings, applicable to other physical systems in mixed phase space, make the interaction control more accessible.

No MeSH data available.


Mode dynamics diagram in our ADM.Relative frequencies Δ(ka) of l = 1, 2, 3 and 4 modes are plotted with respect to a reference frequency in the range from ka ~ 100 to 180 when η = 0.10 in our ADM. The AC between l = 2 and 3 modes around ka ~ 114 is investigated in detail in our experiment. Spatial mode distributions as well as Husimi functions of the modes marked as (i) ~ (iv) are presented in Supplementary Note 4.
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f2: Mode dynamics diagram in our ADM.Relative frequencies Δ(ka) of l = 1, 2, 3 and 4 modes are plotted with respect to a reference frequency in the range from ka ~ 100 to 180 when η = 0.10 in our ADM. The AC between l = 2 and 3 modes around ka ~ 114 is investigated in detail in our experiment. Spatial mode distributions as well as Husimi functions of the modes marked as (i) ~ (iv) are presented in Supplementary Note 4.

Mentions: Figure 2 shows intermode dynamics when η = 0.10. For this, we first numerically find high-Q mode spectra in the range from to 180 and identify uncoupled mode groups labeled by radial mode order l (= 1, 2, 3, 4) in the increasing order of their free spectral ranges in an uncoupled region (marked by a yellow bar) around ka ~ 133. We then define a sequence of reference frequencies of a regular spacing and measure the relative frequencies Δ(ka) of each mode group with respect to the reference frequencies. The relative frequencies of all four mode groups are plotted in the mode dynamics diagram in Fig. 2. Detailed information on the uncoupled mode labeling and the relative frequency measurement is described elsewhere43.


Nonlinear resonance-assisted tunneling induced by microcavity deformation.

Kwak H, Shin Y, Moon S, Lee SB, Yang J, An K - Sci Rep (2015)

Mode dynamics diagram in our ADM.Relative frequencies Δ(ka) of l = 1, 2, 3 and 4 modes are plotted with respect to a reference frequency in the range from ka ~ 100 to 180 when η = 0.10 in our ADM. The AC between l = 2 and 3 modes around ka ~ 114 is investigated in detail in our experiment. Spatial mode distributions as well as Husimi functions of the modes marked as (i) ~ (iv) are presented in Supplementary Note 4.
© Copyright Policy - open-access
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC4355734&req=5

f2: Mode dynamics diagram in our ADM.Relative frequencies Δ(ka) of l = 1, 2, 3 and 4 modes are plotted with respect to a reference frequency in the range from ka ~ 100 to 180 when η = 0.10 in our ADM. The AC between l = 2 and 3 modes around ka ~ 114 is investigated in detail in our experiment. Spatial mode distributions as well as Husimi functions of the modes marked as (i) ~ (iv) are presented in Supplementary Note 4.
Mentions: Figure 2 shows intermode dynamics when η = 0.10. For this, we first numerically find high-Q mode spectra in the range from to 180 and identify uncoupled mode groups labeled by radial mode order l (= 1, 2, 3, 4) in the increasing order of their free spectral ranges in an uncoupled region (marked by a yellow bar) around ka ~ 133. We then define a sequence of reference frequencies of a regular spacing and measure the relative frequencies Δ(ka) of each mode group with respect to the reference frequencies. The relative frequencies of all four mode groups are plotted in the mode dynamics diagram in Fig. 2. Detailed information on the uncoupled mode labeling and the relative frequency measurement is described elsewhere43.

Bottom Line: It is this tunneling mechanism that induces strong inter-mode interactions in mixed phase space as their strength can be directly obtained from a separatrix area in the phase space of intracavity ray dynamics.A selection rule for strong interactions is also found in terms of angular quantum numbers.Our findings, applicable to other physical systems in mixed phase space, make the interaction control more accessible.

View Article: PubMed Central - PubMed

Affiliation: School of Physics and Astronomy, Seoul National University, Seoul 151-742, Korea.

ABSTRACT
Noncircular two-dimensional microcavities support directional output and strong confinement of light, making them suitable for various photonics applications. It is now of primary interest to control the interactions among the cavity modes since novel functionality and enhanced light-matter coupling can be realized through intermode interactions. However, the interaction Hamiltonian induced by cavity deformation is basically unknown, limiting practical utilization of intermode interactions. Here we present the first experimental observation of resonance-assisted tunneling in a deformed two-dimensional microcavity. It is this tunneling mechanism that induces strong inter-mode interactions in mixed phase space as their strength can be directly obtained from a separatrix area in the phase space of intracavity ray dynamics. A selection rule for strong interactions is also found in terms of angular quantum numbers. Our findings, applicable to other physical systems in mixed phase space, make the interaction control more accessible.

No MeSH data available.