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While electric power grids play a key role in the decarbonization of society, it remains unclear how recent trends, such as the strong integration of renewable energies, can affect their stability. Power oscillation modes, which are key to…

Disordered Systems and Neural Networks · Physics 2024-08-28 Pierrick Guichard , Nicolas Retière , Didier Mayou

One of the most important properties of orbital angular momentum (OAM) of photons is that the Hilbert space required to describe a general quantum state is infinite dimensional. In principle, this could allow for encoding arbitrarily large…

Quantum Physics · Physics 2013-08-23 Jose Raul Gonzalez Alonso , Todd Brun

We investigate the spatial statistics of the energy eigenfunctions on large quantum graphs. It has previously been conjectured that these should be described by a Gaussian Random Wave Model, by analogy with quantum chaotic systems, for…

Chaotic Dynamics · Physics 2015-05-18 S. Gnutzmann , J. P. Keating , F. Piotet

The ratio of two consecutive level spacings has emerged as a very useful metric in investigating universal features exhibited by complex spectra. It does not require the knowledge of density of states and is therefore quite convenient to…

Mathematical Physics · Physics 2020-02-04 Ayana Sarkar , Manuja Kothiyal , Santosh Kumar

We consider scenarios where the dynamics of a quantum system are partially determined by prior local measurements of some interacting environmental degrees of freedom. The resulting effective system dynamics are described by a disordered…

Quantum Physics · Physics 2024-05-06 Šárka Blahnik , Sarah Shandera

We improve Gaussian Boson Sampling (GBS) circuits by integrating the unitary averaging (UA) protocol, previously demonstrated to protect unknown Gaussian states from phase errors [Phys. Rev. A 110, 032622]. Our work extends the…

Quantum Physics · Physics 2025-12-15 S. Nibedita Swain , Ryan J. Marshman , Alexander S. Solntsev , Timothy C. Ralph

Quantum key distribution (QKD) allows secure key exchange based on the principles of quantum mechanics, with higher-dimensional photonic states offering enhanced channel capacity and resilience to noise. Free-space QKD is crucial for global…

We develop an encompassing framework for matching, covariate balancing, and doubly-robust methods for causal inference from observational data called generalized optimal matching (GOM). The framework is given by generalizing a new…

Machine Learning · Statistics 2017-10-30 Nathan Kallus

We report the first experimental demonstration of an electrostatic electron orbital angular momentum (OAM) sorter, which can be used to analyze the OAM states of electrons in a transmission electron microscope. We verify the sorter…

The physics of orbital angular momentum (OAM) carrying light has been well-defined since the 1990s. Leveraging its physical phenomena has become a significant focus in various areas of research. For instance, OAM is applied in hybrid…

Optics · Physics 2025-08-08 Junsu Kim , Jiyeon Baek , Hyunchae Chun , Seung Ryong Park

Modelling the chaotic states in terms of the Gaussian Orthogonal Ensemble of random matrices (GOE), we investigate the interaction of the GOE with regular bound states. The eigenvalues of the latter may or may not be embedded in the GOE…

Nuclear Theory · Physics 2008-11-26 A. De Pace , A. Molinari , H. A. Weidenmueller

Analytic continuation of imaginary time or frequency data to the real axis is a crucial step in extracting dynamical properties from quantum Monte Carlo simulations. The average spectrum method provides an elegant solution by integrating…

Computational Physics · Physics 2020-07-15 Khaldoon Ghanem , Erik Koch

This letter is the first to report that a super-resolution imaging beyond the Rayleigh limit can be achieved by using classical diffraction tomography (DT) extended with orbital angular momentum (OAM), termed as OAM based diffraction…

Optics · Physics 2015-06-16 Lianlin Li , Fang Li

We consider the scaling limit of the two-dimensional $q$-state Potts model for $q\leq 4$. We use the exact scattering theory proposed by Chim and Zamolodchikov to determine the one and two-kink form factors of the energy, order and disorder…

High Energy Physics - Theory · Physics 2009-10-30 G. Delfino , J. L. Cardy

We study the distribution functions of the CMB polarization angle $\psi$, focusing on the Planck 2018 CMB maps. We extend the model of Preece & Battye (2014) of Gaussian correlated $Q$ and $U$ Stokes parameters to allow nonzero means. When…

Cosmology and Nongalactic Astrophysics · Physics 2020-02-12 James Creswell , Nadia Dachlythra , Hao Liu , Pavel Naselsky , Per Rex Christensen

A new theoretical framework named as deformed base antisymmetrized molecular dynamics that uses the localized triaxially deformed Gaussian as the single particle wave packet is presented. The model space enables us to describe sufficiently…

Nuclear Theory · Physics 2009-11-10 M. Kimura

We explore a subtle and fundamental nature of spin-orbit interaction (SOI) in a general paraxial beam-field by mathematically characterizing the orbital angular momentum (OAM) flux densities of the spin-polarized component fields via…

Optics · Physics 2024-06-13 Anirban Debnath , Nirmal K. Viswanathan

We demonstrate a novel detection scheme for the orbital angular momentum (OAM) of light using circular plasmonic lens. Owing to a division-of-amplitude interference phenomenon between the surface plasmon waves and directly transmitted…

Orbital angular momentum (OAM) as both classical and quantum states of light has proven essential in numerous applications, from high-capacity information transfer to enhanced precision and accuracy in metrology. Here, we extend OAM…

The spectral form factor is a powerful probe of quantum chaos that diagnoses the statistics of energy levels, but is blind to other features of a theory such as matrix elements of operators or OPE coefficients in conformal field theories.…

High Energy Physics - Theory · Physics 2024-05-30 Alexandre Belin , Jan de Boer , Pranjal Nayak , Julian Sonner