Results 31 to 40 of about 9,867 (115)

Information geometry of density matrices and state estimation

, 2011
Given a pure state vector |x> and a density matrix rho, the function p(x|rho)= defines a probability density on the space of pure states parameterised by density matrices.
Amari S, Bengtsson I, Brody D C, Dorje C Brody, Holevo A S, Luo S, Rao C R   +6 more
core   +1 more source

The three‐dimensional Seiberg–Witten equations for 3/2$3/2$‐spinors: A compactness theorem

Mathematische Nachrichten, Volume 298, Issue 10, Page 3331-3375, October 2025.
Abstract The Rarita‐Schwinger–Seiberg‐Witten (RS–SW) equations are defined similarly to the classical Seiberg–Witten equations, where a geometric non–Dirac‐type operator replaces the Dirac operator called the Rarita–Schwinger operator. In dimension 4, the RS–SW equation was first considered by the second author (Nguyen [J. Geom. Anal. 33(2023), no. 10,
Ahmad Reza Haj Saeedi Sadegh, Minh Lam Nguyen   +1 more
wiley   +1 more source

Discrete Chiral Ballistic Polariton Laser

Laser &Photonics Reviews, Volume 19, Issue 15, August 7, 2025.
Planar microcavities in the strong light–matter coupling regime exhibit exciton‐polariton modes with a strong chiral response toward circularly polarized light. This feature is exploited alongside inherent spin‐orbit coupling of cavity light to generate giant discrete optical vortices in polygonal arrays of exciton‐polariton condensates.
Zuzanna Werner, Andrzej Frączak, Valtýr Kári Daníelsson, Jacek Szczytko, Barbara Piętka, Helgi Sigurðsson   +5 more
wiley   +1 more source

Alternative Structures and Bihamiltonian Systems

, 2002
In the study of bi-Hamiltonian systems (both classical and quantum) one starts with a given dynamics and looks for all alternative Hamiltonian descriptions it admits.In this paper we start with two compatible Hermitian structures (the quantum analog of ...
Marmo, G., Morandi, G., Simoni, A., Ventriglia, F.   +3 more
core   +1 more source

Data assimilation errors due to incomplete accounting of balanced versus unbalanced moisture

Quarterly Journal of the Royal Meteorological Society, Volume 151, Issue 769, April 2025 Part B.
We investigate data assimilation strategies with moisture and assess the impact of accounting for moisture's balanced and unbalanced components. To illustrate the main ideas, examples are presented using a simple model consisting of linear, moist, shallow‐water equations with stochastic forcing.
H. Reed Ogrosky, Alfredo N. Wetzel, Leslie M. Smith, Samuel N. Stechmann   +3 more
wiley   +1 more source

A Maslov cocycle for unitary groups

, 2009
We introduce a 2-cocycle for symplectic and skew-hermitian hyperbolic groups over arbitrary fields and skew fields, with values in the Witt group of hermitian forms.
Kramer, Linus, Tent, Katrin
core   +4 more sources

G‐Convergence of Friedrichs Systems Revisited

Mathematical Methods in the Applied Sciences, Volume 48, Issue 5, Page 6081-6091, 30 March 2025.
ABSTRACT We revisit the homogenization theory for Friedrichs systems. In particular, we show that G$$ G $$‐compactness can be obtained under severely weaker assumptions than in the original work of Burazin and Vrdoljak (2014). In this way, we extend the applicability of G$$ G $$‐compactness results for Friedrichs systems to equations that yield memory ...
K. Burazin, M. Erceg, M. Waurick
wiley   +1 more source

A Dynamic Systems Approach to Fermions and Their Relation to Spins

, 2013
Dynamic properties of fermionic systems, like contollability, reachability, and simulability, are investigated in a general Lie-theoretical frame for quantum systems theory.
Keyl, Michael, Schulte-Herbrueggen, T., Zeier, Robert, Zimborás, Zoltán   +3 more
core   +1 more source

Witnessing Entanglement and Quantum Correlations in Condensed Matter: A Review

Advanced Quantum Technologies, Volume 8, Issue 3, March 2025.
Detection and certification of entanglement and quantum correlations in materials is of fundamental and far‐reaching importance for both basic science and identification of systems suitable for novel technologies. This review article comprehensively covers witnesses suitable to condensed matter, their derivations and experimental applications.
Pontus Laurell, Allen Scheie, Elbio Dagotto, D. Alan Tennant   +3 more
wiley   +1 more source

An Alignment‐Agnostic Methodology for the Analysis of Designed Separations Data

Journal of Chemometrics, Volume 39, Issue 2, Page 1-12, February 2025.
ABSTRACT Chemical separations data are typically analyzed in the time domain using methods that integrate the discrete elution bands. Integrating the same chemical components across several samples must account for retention time drift over the course of an entire experiment as the physical characteristics of the separation are altered through several ...
Michael Sorochan Armstrong, José Camacho   +1 more
wiley   +1 more source