An investigation of algebraic quantum dynamics for mesoscopic coupled electric circuits with mutual inductance

Pahlavani, H.; Kolur, E. Rahmanpour

doi:10.1016/j.physb.2016.05.009

Cited by 3 publications

(2 citation statements)

References 35 publications

(62 reference statements)

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“…In the experiment, a synchronous sampling data acquisition card was used to capture the x-and y-signals of two Chua's systems simultaneously, where the sampling rate was 1 MS/s and the number of samplings was 10000. On the mutual inductance effect, (9) by varying the inductance spacing D as shown in Fig. 1(b), the phenomena of circuit coupling states, that is, the single-and double-scroll attractors, were observed.…”

Section: Methodsmentioning

confidence: 99%

Phase Synchronization Underlying the Mutual Inductance Effect on Chua�fs Circuits

Tsai¹,

Yu²,

Lu³

et al. 2019

Sensors and Materials

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In this study, we proposed a novel method that is different from previous methods using feedback to achieve synchronization. Our study was carried out to induce the mutual effect coil inductances of two Chua's circuit systems and achieve phase synchronization by the bidirectional coupling of two Chua's circuit systems. Additionally, analyzing the correlation coefficient vs the inductance spacing, we observed the hysteresis phenomenon and the sensitivity of the systems to various chaotic states that could be applied to some sensors.

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Section: Methodsmentioning

confidence: 99%

Phase Synchronization Underlying the Mutual Inductance Effect on Chua�fs Circuits

Tsai¹,

Yu²,

Lu³

et al. 2019

Sensors and Materials

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“…On the other hand, as expected, charge discreteness promotes dynamic evolution different from the continuous one and becomes a difficult challenge to solve on networks [13][14][15][16][17][18][19][20][21][22][23][24]. Consider the Hamiltonian of a spatially extended LC electrical circuit with quantum Hamiltonian for charge Ql and pseudo-flux φl , given by (cirquitons)…”

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confidence: 99%

Non-Hermitian quantum networks and configuration entropy: Negative temperatures

Flores¹

2020

EPL

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Using the ordered product for quantum operators, the motion equation in a quantum network with discrete charge is solved exactly. More importantly, by introducing dissipation, the non-Hermitian dynamics is treated, finding the exceptional point explicitly. It defines the energies supporting stationary states which are degenerate. Consequently, the configuration entropy is calculated. Entropy is a decreasing function of energy, a typical characteristic of dual metamaterials, which also sustains negative temperatures. The specific heat is also calculated as being always negative.

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Investigation of synchronization for coupled quantum nonlinear electrical LC circuits with mutual inductance

Zamani

Pahlavani

2023

Indian J Phys

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An investigation of algebraic quantum dynamics for mesoscopic coupled electric circuits with mutual inductance

Cited by 3 publications

References 35 publications

Phase Synchronization Underlying the Mutual Inductance Effect on Chua�fs Circuits

Phase Synchronization Underlying the Mutual Inductance Effect on Chua�fs Circuits

Non-Hermitian quantum networks and configuration entropy: Negative temperatures

Investigation of synchronization for coupled quantum nonlinear electrical LC circuits with mutual inductance

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