Tootfinder

A look at Apple's vision for Apple TV and its film business, as Tim Cook says the company's $200M bet on the F1 movie is about more than selling iPhones (Cynthia Littleton/Variety)
https://variety.com/2025/film/news/f1-apple…

'F1' and Apple's Movie Strategy: Inside Tim Cook, Lewis Hamilton's Big Bet
Apple CEO Tim Cook pulls back the curtain on the tech giant's film and television strategy, including spending millions on 'F1.

Quench dynamics of negativity Hamiltonians
Riccardo Travaglino, Colin Rylands, Pasquale Calabrese
https://arxiv.org/abs/2506.09561 https://

Quench dynamics of negativity Hamiltonians
In this paper, we investigate the quench dynamics of the negativity and fermionic negativity Hamiltonians in free fermionic systems. We do this by generalizing a recently developed quasiparticle picture for the entanglement Hamiltonians to tripartite geometries. We obtain analytic expressions for these quantities which are then extensively checked against previous results and numerics. In particular, we find that the standard negativity Hamiltonian contains both non-local hopping terms and four…

A look at Apple's vision for Apple TV and its film business, as Tim Cook says the company's $200M bet on the F1 movie is about more than selling iPhones (Cynthia Littleton/Variety)
https://variety.com/2025/film/news/f1-apple…

'F1' and Apple's Movie Strategy: Inside Tim Cook, Lewis Hamilton's Big Bet
Apple CEO Tim Cook pulls back the curtain on the tech giant's film and television strategy, including spending millions on 'F1.

Renormalization of bosonic quadratic Hamiltonians involving rank-one perturbations
Thomas Gamet (UMPA-ENSL)
https://arxiv.org/abs/2506.08590 https://

Renormalization of bosonic quadratic Hamiltonians involving rank-one perturbations
In this article, we study the renormalization of a bosonic quadratic Hamiltonian with an ultraviolet divergence. The Hamiltonian is composed of the sum of a free energy and the square of the smeared field operator. We explicitly diagonalize the Hamiltonian via Bogoliubov transformations, and the diagonalized Hamiltonian is easier to study. We show a renormalization of both the energy and the coupling constant depending on the form factor of the interaction.

Efficient Prediction of SO(3)-Equivariant Hamiltonian Matrices via SO(2) Local Frames
Haiyang Yu, Yuchao Lin, Xuan Zhang, Xiaofeng Qian, Shuiwang Ji
https://arxiv.org/abs/2506.09398

Efficient Prediction of SO(3)-Equivariant Hamiltonian Matrices via SO(2) Local Frames
We consider the task of predicting Hamiltonian matrices to accelerate electronic structure calculations, which plays an important role in physics, chemistry, and materials science. Motivated by the inherent relationship between the off-diagonal blocks of the Hamiltonian matrix and the SO(2) local frame, we propose a novel and efficient network, called QHNetV2, that achieves global SO(3) equivariance without the costly SO(3) Clebsch-Gordan tensor products. This is achieved by introducing a set o…

On a conjecture of Faudree and Schelp
Jan Goedgebeur, Jorik Jooken, Michiel Provoost, Carol T. Zamfirescu
https://arxiv.org/abs/2506.09667 https://

On a conjecture of Faudree and Schelp
In 1976 Faudree and Schelp conjectured that in a hamiltonian-connected graph on $n$ vertices, any two distinct vertices are connected by a path of length $k$ for every $k \ge n/2$. In 1978 Thomassen constructed a (non-cubic and non-planar) family of counterexamples, showing that there exist hamiltonian-connected $n$-vertex graphs containing two vertices with no path of length $n-2$ between them. We complement this result by describing cubic planar counterexamples on $6p+16$ vertices, each conta…

Linear-Response Quantum-Electrodynamical Density Functional Theory Based on Two-Component X2C Hamiltonians
Lukas Konecny, Valeriia P. Kosheleva, Michael Ruggenthaler, Michal Repisky, Angel Rubio
https://arxiv.org/abs/2507.07198

Linear-Response Quantum-Electrodynamical Density Functional Theory Based on Two-Component X2C Hamiltonians
Linear-response quantum electrodynamical density functional theory (QEDFT) enables the description of molecular spectra under strong coupling to quantized photonic modes, such as those in optical cavities. Recently, this approach was extended to the relativistic domain using the four-component Dirac-Coulomb Hamiltonian. To provide a computationally efficient yet accurate alternative-particularly for modeling 2D spectra or collective coupling for large, heavy-element systems-this article introdu…

This https://arxiv.org/abs/2409.09685 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On the critical finite-size gap scaling for frustration-free Hamiltonians
We prove that the critical finite-size gap scaling for frustration-free Hamiltonians is of inverse-square type. The result covers general graphs embedded in $\mathbb R^D$ and general finite-range interactions without requiring assumptions about the ground state correlations. Therefore, the inverse-square critical gap scaling is a robust, universal property of finite-range frustration-free Hamiltonians. This places further limits on their ability to produce conformal field theories in the contin…

This https://arxiv.org/abs/2505.05850 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

Resonances and continued-fraction Green's functions in non-Hermitian Bose-Hubbard-like quantum models
With resonances treated as eigenstates of a non-Hermitian quantum Hamiltonian, the task of localization of the complex energy eigenvalues is considered. The paper is devoted to the reduced version of this task in which one only computes the real quantities called singular values. It is shown that in such an approach (and under suitable constraints including the tridiagonality of the Hamiltdonian) the singular values can be sought as poles of an auxiliary Green's function expressible in terms of…

Metriplectic relaxation to equilibria
C. Bressan, M. Kraus, O. Maj, P. J. Morrison
https://arxiv.org/abs/2506.09787 https://arxiv.org…

Metriplectic relaxation to equilibria
Metriplectic dynamical systems consist of a special combination of a Hamiltonian and a (generalized) entropy-gradient flow, such that the Hamiltonian is conserved and entropy is dissipated/produced (depending on a sign convention). It is natural to expect that, in the long-time limit, the orbit of a metriplectic system should converge to an extremum of entropy restricted to a constant-Hamiltonian surface. In this paper, we discuss sufficient conditions for this to occur, and construct a class o…