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We study the spectral problem in deformed supersymmetric quantum mechanics with polynomial superpotential by using the exact WKB method and the TBA equations. We apply the ODE/IM correspondence to the Schrödinger equation with an effective potential deformed by integrating out the fermions, which admits a continuous deformation parameter. We find that the TBA equations are described by the ℤ4-extended ones. For cubic superpotential corresponding to the symmetric double-well potential, the TBA system splits into the two D3-type TBA equations. We investigate in detail this example based on the TBA equations and their analytic continuation as well as the massless limit. We find that the energy spectrum obtained from the exact quantization condition is in good agreement with the diagonalization approach of the Hamiltonian. [ABSTRACT FROM AUTHOR]

In information transfer, the dissipation of a signal is of crucial importance. The feasibility of reconstructing the distorted signal depends on the related permanent loss. Therefore, understanding the quantized dissipative transversal mechanical waves might result in deep insights. In particular, it may be valid on the nanoscale in the case of signal distortion, loss, or even restoration. Based on the description of the damped quantum oscillator, we generalize the canonical quantization procedure for the case of the transversal waves. Then, we deduce the related damped wave equation and the state function. We point out the two possible solutions of the propagating-damping wave equation. One involves the well-known Gaussian spreading solution superposed with the damping oscillation, in which the loss of information is complete. The other is the Airy function solution, which is non-spreading–propagating, so the information loss is only due to oscillation damping. However, the structure of the wave shape remains unchanged for the latter. Consequently, this fact may allow signal reconstruction, resulting in the capability of restoring the lost information. [ABSTRACT FROM AUTHOR]

This paper discusses the introduction of quantum ideas in general physics and education. Considering the fragile environment of physics education, the paper suggests three possible ways to help teaching and learning of quantum physics, (1) quantum metrics (2) simple experiments demonstrating quantum quantities (3) fractal and quantum analogies between worlds. From this perspective, this paper is also meant to be a test indicator of quantum popularity in physics and education. [ABSTRACT FROM AUTHOR]

We apply the exact Wentzel–Kramers–Brillouin (WKB) analysis to a couple of 1D Schrödinger-type equations reduced from the Stark effect of hydrogen in a uniform electric field. By introducing Langer's modification and incorporating the Stokes graphs, we prove the exactness of the Bohr–Sommerfeld quantization conditions for the Borel-resummed quantum WKB periods in the specific parameter regions of the electric field intensity and magnetic quantum number. It is also found these quantization conditions get modified with an additional suppressed contribution when the parameters vary beyond the specific regions. We also present thermodynamic Bethe ansatz (TBA) equations governing the quantum periods in the absence of Langer's modification and discuss its wall-crossing and analytic continuation. Numerical calculations are conducted to compare the complex resonant frequencies from our quantization conditions against ones from the Riccati–Padé method; the TBA equations are also confirmed by comparing its expansions with all-order quantum periods. [ABSTRACT FROM AUTHOR]

Recently, deep learning-based Quantization Index Modulation (QIM) steganalysis algorithms have achieved great success. However, most of them are supervised learning algorithms that rely on a large number of labeled samples and have poor generalization performance. Towards addressing the challenge, we present a novel semi-supervised ladder network, termed SSLadNet, for weak signal detection in QIM steganalysis of VoIP streams. In particular, we integrate supervised learning and unsupervised learning into an end-to-end learning architecture via a ladder network, and achieve joint optimization for semi-supervised learning by backpropagation to minimize the sum of supervised and unsupervised cost functions. To the best of our knowledge, this is the first deep learning-based semi-supervised detection model applied to QIM steganalysis that can effectively extract rich features reflecting the correlation changes between codewords caused by QIM steganography. Experimental results showed that even for the labeled samples with a number of 512, SSLadNet can achieve a detection accuracy of around 96.09% for 1000 ms long samples and 100% embedding rate, and outperforms the state-of-the-art methods based on semi-supervised learning. • We propose a QIM steganalysis method based on the semi-supervised ladder network. • We design a RNN-based DAE to integrate supervised and unsupervised learning. • We conduct comprehensive experiments to evaluate SSLadNet's performance. [ABSTRACT FROM AUTHOR]

[Display omitted] • An approximate entropy algorithm enabling quantitative evaluation of non-synchronous sampling is proposed. • A harmonic frequency and amplitude correction method based on the all-phase FFT is developed. • A spectrum folding identification method using relative height analysis of harmonic amplitudes is designed. • Efficient and correct multi-surface phases demodulation combined with the above advantages is realized. As a non-destructive detection technique for measuring parallel transparent optics, wavelength-shifting interferometry provides a separation basis for multiple measured surfaces by assigning different frequencies to the interference harmonics based on their optical-path-difference. However, the non-synchronous sampling and spectral aliasing can decrease the measurement accuracy. Therefore, an approximate entropy algorithm is utilized to determine the sampling performance. Then the frequency search accuracy is guaranteed by the zero-padding method, and the all-phase Fourier transform method is introduced to correct the harmonic frequencies and amplitudes, where the spectral aliasing problem is solved by the relative amplitude analysis. So efficient surface measurement combining the above advantages is realized, and the validity is verified by simulation analysis of different profile features and de-tuning errors. The effectiveness of the proposed method is fully confirmed by the repetitive measurements on two parallel plates in the experiments. [ABSTRACT FROM AUTHOR]