Control of Open Quantum Systems via Dynamical Invariants
Advanced Quantum Technologies, Volume 9, Issue 2, February 2026.Dynamical invariants are used to reverse‐engineer control fields for open quantum systems described by time‐dependent Lindblad master equations. By minimizing an analytic leakage functional, the protocol dynamically steers the state along an effectively decoherence‐free path without costly iterative propagation.
Loris M. Cangemi +4 more
wiley +1 more source
Biorthonormal matrix-product-state analysis for the non-Hermitian transfer-matrix renormalization group in the thermodynamic limit [PDF]
, 2011 Yukun Huang
openalex +1 more source
Quasi-Hermitian quantum mechanics and a new class of user-friendly matrix Hamiltonians [PDF]
, 2023 Olaf Lechtenfeld, Miloslav Znojil
openalex +1 more source
Characterization of Hermitian and skew-Hermitian maps between matrix algebras
Linear Algebra and its Applications, 1975 AbstractLet D be a division ring with an involution J such that D is finite-dimensional over its center Z and char D≠2. Let T:Mm(D)→Mn(D) be a Z-linear map between matrix rings over D. We show that T satisfies [T(X)]∗=T(X∗) if and only if T(X)=∑±A∗kXAk. Similarly, T satisfies [T(X)]∗ = − T(X∗) if and only if T(X = ∑(A∗kXBk − B∗kXAk). The first of these
openaire +2 more sources
Quantum Engineering of Landau Levels Using Isotopes in Graphene‐Like Graphite
Advanced Quantum Technologies, Volume 9, Issue 2, February 2026.We demonstrate that 13C$^{13}{\rm C}$‐doping in graphene‐like graphite produces a sizable splitting of the Landau level transitions in the magneto‐Raman spectra, a signature of an effective gauge field or pseudomagnetic field on the scale of 0.2 Tesla.
Pradip Karki +8 more
wiley +1 more source
Dissipative energy functionals of passive linear time‐varying systems
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 2, February 2026.Abstract The concept of dissipativity plays a crucial role in the analysis of control systems. Dissipative energy functionals, also known as Hamiltonians, storage functions, or Lyapunov functions, depending on the setting, are extremely valuable to analyze and control the behavior of dynamical systems, but in general circumstances they are very ...
Riccardo Morandin, Dorothea Hinsen
wiley +1 more source
Higher order constraints for the ( $$\beta $$ β -deformed) Hermitian matrix models
European Physical Journal C: Particles and FieldsWe construct the ( $$\beta $$ β -deformed) higher order total derivative operators and analyze their remarkable properties. In terms of these operators, we derive the higher order constraints for the ( $$\beta $$ β -deformed) Hermitian matrix models.
Rui Wang
doaj +1 more source
"On some definitions in matrix algebra" [PDF]
Many definitions in matrix algebra are not standardized. This notediscusses some of thepitfalls associated with undesirable orwrong definitions, anddealswith central conceptslikesymmetry, orthogonality, square root, Hermitian and quadratic forms, and ...
Jan R. Magnus, Karim M. Abadir
core
On a relationship between high rank cases and rank one cases of Hermitian random matrix models with external source [PDF]
, 2012 Jinho Baik, Dong Wang
openalex +1 more source