Microwave graph analogs for the voltage drop in three-terminal devices with orthogonal, unitary, and symplectic symmetry

Castañeda-Ramírez, F.; Martínez-Argüello, A. M.; Hofmann, Tobias; Rehemanjiang, A.; Martínez-Mares, M.; Méndez-Bermúdez, J. A.; Kuhl, Ulrich; Stöckmann, H.‐J.

doi:10.1103/physreve.105.014202

Cited by 5 publications

(5 citation statements)

References 43 publications

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“…These modes correspond to the perfect system with coupling strength 𝛤 L,R from the left (L) and right (R) sites, respectively, or at the 1 st and 15 th positions. Since, in the experiments, the coupling losses can lead to a certain drop in the transmitted intensity, the 2×2 scattering matrix in the presence of absorption, S-matrix, can be written as [47]- [52],…”

Section: Resultsmentioning

confidence: 99%

Underwater analyte sensing using a phononic crystal waveguide-based interferometric acoustic spectrometer

Reyes,

Heo,

Martínez-Argüello

et al. 2024

IEEE Open J. Ultrason., Ferroelect., Freq. Contr.

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This work introduces a 2D PnC-based acoustic spectrometer capable of analyzing small solution volumes (25 μl) in aqueous environments with significative accuracy and reliability, thus addressing key limitations in current acoustic spectroscopic techniques. Optimally introducing rows of defects into the PnC structure enables guided acoustic modes to propagate at desired frequencies within the bandgap. We construct an acoustic interferometer to leverage the properties of acoustic cavities within these waveguides, which can configure and modulate wave propagation. Our approach involves harnessing the interference between acoustic waves in the two arms of a defects-based waveguide within a PnC, one arm containing an analyte cavityholder. We demonstrate that the presence of an analyte (sucrose solutions at various concentrations) induces alterations in the acoustic properties of the cavity, leading to observable shifts in transmission characteristics of the propagating acoustic modes. We achieve exceptional spectral resolution through experimentation, facilitating highly sensitive acoustic sensing even with small analyte volumes (< 25 μl). We utilize finite element method simulations to validate our findings and predict spectral shifts resulting from modified acoustic interference. Additionally, we provide a phenomenological description using tight-binding models. Notably, our approach surpasses conventional PnC sensors like Mach-Zehnder interferometers by overcoming challenges associated with analyte uniformity.

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Section: Resultsmentioning

confidence: 99%

Underwater analyte sensing using a phononic crystal waveguide-based interferometric acoustic spectrometer

Reyes,

Heo,

Martínez-Argüello

et al. 2024

IEEE Open J. Ultrason., Ferroelect., Freq. Contr.

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“…However, this method lacks generality since delicate tricks are required: the creation of two sub-graphs with exactly equal cable lengths and carefully tuned 0 and 𝜋 phase shifts for waves traveling between the two sub-graphs. [26][27][28][29][30][31][32] As far as we know, there still awaits a physical realization that displays a clear and recognizable analog of full spin-1/2 physics in an intrinsic manner for the excitations of the system. In particular, we seek a physical realization in which eigenfunction and other properties can be studied in a manner similar to those employed for other wave/quantum chaotic systems, such as billiards.…”

Section: Introductionmentioning

confidence: 99%

“…However, this method lacks generality since delicate tricks are required: the creation of two sub‐graphs with exactly equal cable lengths and carefully tuned 0 and π phase shifts for waves traveling between the two sub‐graphs. [ 26–32 ]…”

Section: Introductionmentioning

confidence: 99%

Experimental Realization of Anti‐Unitary Wave‐Chaotic Photonic Topological Insulator Graphs Showing Kramers Degeneracy and Symplectic Ensemble Statistics

Ma,

Anlage

2023

Advanced Optical Materials

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Working in analogy with topological insulators in condensed matter, photonic topological insulators (PTI) have been experimentally realized, and protected electromagnetic edge‐modes have been demonstrated in such systems. Moreover, PTI technology also emulates a synthetic spin‐1/2 degree of freedom (DOF) in the reflectionless topological modes. The spin‐1/2 DOF is carried by quantum valley Hall (QVH)/quantum spin Hall (QSH) interface modes created from the bianisotropic meta waveguide platform and realized both in simulation and experiment. The PTI setting is employed to build an ensemble of wave chaotic 1D metric graphs that display statistical properties consistent with Gaussian symplectic ensemble (GSE) statistics. The two critical ingredients required to create a physical system in the GSE universality class, the half‐integer‐spin DOF and preserved time‐reversal invariance, are clearly realized in the QVH/QSH interface modes. The anti‐unitary T‐operator is identified for the PTI Hamiltonian underlying the experimental realization. An ensemble of PTI‐edgemode metric graphs are proposed and experimentally demonstrated. Then, the Kramers degeneracy of eigenmodes of the PTI‐graph systems is demonstrated with both numerical and experimental studies. Further, spectral statistical studies of the edgemode graphs are studied, and good agreement with the GSE theoretical predictions is found. The PTI chaotic graph structures present an innovative and easily extendable platform for continued future investigation of GSE systems.

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“…Two ingredients that influence the expected value of electronic transport moments significantly are the tunneling barriers effect [25,30,31,33,35,34,27,32,36], caused by the junction between the terminal and the billiard, and overall number of terminals [26,37,38,39,40]. Some exact results are available for ideally connected multiterminals in the literature [41].…”

Section: Introductionmentioning

confidence: 99%

Electronic transport in three-terminal chaotic systems with a tunnel barrier

Oliveira,

Barbosa,

Novaes

2022

Preprint

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We consider the problem of electronic quantum transport through ballistic mesoscopic systems with chaotic dynamics, connected to a multiterminal architecture in which one of the terminals has a tunnel barrier. Using a semiclassical approximation based on matrix integrals, we calculate several transport statistics, such as average and variance of conductance, average shotnoise power, among others, that give access to the extreme quantum regime (small channel numbers in the terminal) for broken and intact time-reversal symmetry, which the traditional random matrix approach does not access. As an application, we treat the dephasing regime.

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Microwave graph analogs for the voltage drop in three-terminal devices with orthogonal, unitary, and symplectic symmetry

Cited by 5 publications

References 43 publications

Underwater analyte sensing using a phononic crystal waveguide-based interferometric acoustic spectrometer

Underwater analyte sensing using a phononic crystal waveguide-based interferometric acoustic spectrometer

Experimental Realization of Anti‐Unitary Wave‐Chaotic Photonic Topological Insulator Graphs Showing Kramers Degeneracy and Symplectic Ensemble Statistics

Electronic transport in three-terminal chaotic systems with a tunnel barrier

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