Tootfinder

Tangent space Krylov computation of real-frequency spectral functions: Influence of density-assisted hopping on 2D Mott physics
Oleksandra Kovalska, Jan von Delft, Andreas Gleis
https://arxiv.org/abs/2510.07279

Tangent space Krylov computation of real-frequency spectral functions: Influence of density-assisted hopping on 2D Mott physics
We present a tangent-space Krylov (TaSK) method for efficient computation of zero-temperature real-frequency spectral functions on top of ground state (GS) matrix product states (MPS) obtained from the Density Matrix Renormalization Group. It relies on projecting resolvents to the tangent space of the GS-MPS, where they can be efficiently represented using Krylov space techniques. This allows for a direct computation of spectral weights and their corresponding positions on the real-frequency ax…

Und ich bin gar nicht mal so gespannt, ob das in deutschen Medien einen ähnlichen Aufruhr auslöst wie irgendeine Gruppierung der Linken in Berlin, die vermeintlich irgendeine rechtsradikale Drecksschleuder angegriffen hat.
https://bsky.brid.gy/r/https://bsky.a…

K-theoretic Hikita conjecture for quiver gauge theories
Ilya Dumanski, Vasily Krylov
https://arxiv.org/abs/2509.06226 https://arxiv.org/pdf/2509.06226

K-theoretic Hikita conjecture for quiver gauge theories
We study variants of Hikita conjecture for Nakajima quiver varieties and corresponding Coulomb branches. First, we derive the equivariant version of the conjecture from the non-equivariant one for a set of gauge theories. Second, we suggest a variant of the conjecture, with K-theoretic Coulomb branches involved. We show that this version follows from the usual (homological) one for a set of theories. We apply this result to prove the conjecture in finite ADE types. In the course of the proof, w…

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Dmitry Shostakovich, Berliner Philharmoniker & Kirill Petrenko:
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Ačiū!

Fourier Inversion on the Group of Signatures
Frank Filbir, Davide Nobile, Marco Rauscher
https://arxiv.org/abs/2509.06106 https://arxiv.org/pdf/2509.06106

Fourier Inversion on the Group of Signatures
The main objective of this work is to develop a framework for Fourier analysis on the group of signatures, $G_N(\mathbb{R}^d)$. Employing Kirillov's orbit method, we define the Fourier transform on this group via irreducible unitary representations. Our main contribution is the derivation of necessary and sufficient conditions for identifying coadjoint orbits in general position of $G_N(\mathbb{R}^d)$. This enables the computation of the set of \textit{jump-indices} of generic orbits, crucial f…

Krylov Complexity for Open Quantum System: Dissipation and Decoherence
Arpan Bhattacharyya, Sayed Gool, S. Shajidul Haque
https://arxiv.org/abs/2509.14810 https://

Krylov Complexity for Open Quantum System: Dissipation and Decoherence
We investigate Krylov complexity in open quantum systems using Lindblad master equations for bosonic bath models, with particular emphasis on the Caldeira--Leggett model. Krylov complexity is computed from the moments of the two-point function within the standard master equation framework. For the damped harmonic oscillator, the results reveal clear dissipative features in Krylov complexity. In the Caldeira--Leggett model, in the high-temperature limit, we find that Krylov complexity saturates …

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Kurilpa Reach:
🎵 The Mountain
#KurilpaReach
https://kurilpareach.bandcamp.com/track/the-mountain
https://open.spotify.com/track/2lnBBhGZXQyPfzo0p6SvQY

A quantum information method for early universe with non-trivial sound speed
Shi-Cheng Liu, Lei-Hua Liu, Bichu Li, Hai-Qing Zhang, Peng-Zhang He
https://arxiv.org/abs/2510.04011

A quantum information method for early universe with non-trivial sound speed
Many quantum gravitational frameworks, such as DBI inflation, k-essence, and effective field theories obtained by integrating out heavy modes, can lead to a non-trivial sound speed. Meanwhile, our universe can be described as an open system. Under the non-trivial sound speed, we employ the method of open quantum systems combined with Arnoldi iterations to study the Krylov complexity throughout the early universe, including the inflationary, radiation-dominated, and matter-dominated epochs. A ke…

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St. Vincent:
🎵 Reckless
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https://open.spotify.com/track/5iI1svWkerLI9FgQbIzQTu