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A method to polarize channels universally is introduced. The method is based on combining two distinct channels in each polarization step, as opposed to Arikan's original method of combining identical channels. This creates an equal number…

Information Theory · Computer Science 2013-12-30 Eren Sasoglu , Lele Wang

Data assimilation algorithms are used to estimate the states of a dynamical system using partial and noisy observations. The ensemble Kalman filter has become a popular data assimilation scheme due to its simplicity and robustness for a…

Numerical Analysis · Mathematics 2021-06-23 Gottfried Hastermann , Maria Reinhardt , Rupert Klein , Sebastian Reich

We present a rigorous and quantum-consistent description of dispersive non-Hermitian optical bilayers in the framework of the canonical quantization scheme. Then we investigate the propagation of a normally incident squeezed coherent state…

Quantum Physics · Physics 2022-01-19 Elnaz Pilehvar , Ehsan Amooghorban , Mohammad Kazem Moravvej-Farshi

The band structure of transition metal dichalcogenides (TMDCs) with valence band edges at different locations in the momentum space could be harnessed to build devices that operate relying on the valley degree of freedom. To realize such…

Mesoscale and Nanoscale Physics · Physics 2016-09-06 Oriol Lopez Sanchez , Dmitry Ovchinnikov , Shikhar Misra , Adrien Allain , Andras Kis

Transition metal dichalcogenide semiconductors represent elementary components of layered heterostructures for emergent technologies beyond conventional opto-electronics. In their monolayer form they host electrons with quantized circular…

We propose a novel hybrid classical-quantum approach for image processing based on polar Walsh basis functions. Using this approach, we present an algorithm for the removal of the circular banding noise (including Airy pattern noise) and…

Quantum Physics · Physics 2024-11-20 Mohit Rohida , Alok Shukla , Prakash Vedula

Non-Hermitian photonic systems are known to exhibit unique phenomena, where non-Hermiticity is typically introduced by material loss or gain. Here, we propose and experimentally demonstrate unidirectional phenomena solely based on…

Valley, the energy extrema in the electronic band structure at momentum space, is regarded as a new degree of freedom of electrons, in addition to charge and spin. The studies focused on valley degree of freedom now form an emerging field…

Materials Science · Physics 2020-02-13 He Hu , Wen-Yi Tong , Yu-Hao Shen , Xiangang Wan , Chun-Gang Duan

We present a quantum algorithmic framework for simulating linear, anti-Hermitian (lossless) wave equations in heterogeneous, anisotropic, and time-independent media. This framework encompasses a broad class of wave equations, including the…

Quantum Physics · Physics 2025-02-06 Cyrill Bösch , Malte Schade , Giacomo Aloisi , Scott D. Keating , Andreas Fichtner

Device stability is essential for quantum information technologies, where reliable control of electronic states is crucial. Diamond valleytronics offers a promising platform by exploiting the valley degree of freedom to store and manipulate…

Mesoscale and Nanoscale Physics · Physics 2026-04-09 Nattakarn Suntornwipat , Jan Isberg , Saman Majdi

Recently, there has been a surge of interest in incorporating neural networks into particle filters, e.g. differentiable particle filters, to perform joint sequential state estimation and model learning for non-linear non-Gaussian…

Machine Learning · Computer Science 2025-01-07 Xiongjie Chen , Yunpeng Li

Valley polarization is amongst the most critical attributes of atomically thin materials. However, achieving a high contrast from monolayer transition metal dichalcogenides (TMDs) has so far been challenging. In this work, a giant valley…

Recent advances in condensed matter physics have shown that the valley degree of freedom of electrons in 2D materials with hexagonal symmetry, such as graphene, h-BN, and TMDs, can be efficiently exploited, leading to the emergent field of…

Optics · Physics 2018-11-02 S. Guddala , R. Bushati , M. Li , A. B. Khanikaev , V. M. Menon

We report the propagation of fast wavepackets in classical non-Hermitian lattices, where the group velocity is controlled by the non-Hermiticity parameters, and can be made higher than in the Hermitian counterpart. Specifically, we obtain a…

Mesoscale and Nanoscale Physics · Physics 2024-07-16 Yehonatan Benisty , Sayan Jana , Lea Sirota

The Kalman filter is ubiquitous for state space models because of its desirable statistical properties, ease of implementation, and generally good performance. However, it can perform poorly in the presence of outliers, or measurements with…

Systems and Control · Electrical Eng. & Systems 2025-02-26 Michael J. Walsh

We illustrate that a Hermitian nonlinear optical system consisting of hybridized parametric amplification and second harmonic generation mimics non-Hermitian evolution dynamics. Oscillation damping, evolution to a static steady state, and…

Optics · Physics 2021-01-05 Noah Flemens , Nicolas Swenson , Jeffrey Moses

Inversion symmetry breaking allows contrasted circular dichroism in different k-space regions, which takes the extreme form of optical selection rules for interband transitions at high symmetry points. In materials where band-edges occur at…

Mesoscale and Nanoscale Physics · Physics 2008-06-05 Wang Yao , Di Xiao , Qian Niu

Non-Hermitian systems display remarkable response effects that reflect a variety of distinct spectral scenarios, such as exceptional points where the eigensystem becomes defective. However, present frameworks treat the different scenarios…

Quantum Physics · Physics 2025-05-12 Subhajyoti Bid , Henning Schomerus

This study presents a novel approach to applying data assimilation techniques for particle-based simulations using the Ensemble Kalman Filter. While data assimilation methods have been effectively applied to Eulerian simulations, their…

Numerical Analysis · Mathematics 2024-12-10 Marius Duvillard , Loïc Giraldi , Olivier Le Maître

The valley degree of freedom in many-valley semiconductors provides a new paradigm for storing and processing information in valleytronic and quantum-computing applications. Achieving practical devices require all-electric control of…