Tootfinder

Stochastic inflation as a superfluid
Gianmassimo Tasinato
https://arxiv.org/abs/2506.03860 https://arxiv.org/pdf/2506.03860

Stochastic inflation as a superfluid
We point out that inflationary superhorizon fluctuations can be effectively described by a set of equations analogous to those governing a superfluid. This is achieved through a functional Schrödinger approach to the evolution of the inflationary wavefunction, combined with a suitable coarse-graining procedure to capture large-scale dynamics. The irrotational fluid velocity is proportional to the gradient of the wavefunction phase. Marginalizing over short superhorizon modes introduces an exte…

Reconstructing the wavefunction of magnetic topological insulators MnBi2Te4 and MnBi4Te7 using spin-resolved photoemission
Xue Han, Jason Qu, Hengxin Tan, Zicheng Tao, Noah M. Meyer, Patrick S. Kirchmann, Yanfeng Guo, Binghai Yan, Zhi-Xun Shen, Jonathan A. Sobota
https://arxiv.org/abs/2506.02466

Reconstructing the wavefunction of magnetic topological insulators MnBi2Te4 and MnBi4Te7 using spin-resolved photoemission
Despite their importance for exotic quantum effects, the surface electronic structure of magnetic topological insulators MnBi2Te4 and MnBi4Te7 remains poorly understood. Using high-efficiency spin- and angle-resolved photoemission spectroscopy, we directly image the spin-polarization and orbital character of the surface states in both compounds and map our observations onto a model wavefunction to describe the complex spin-orbital texture, which solidifies our understanding of the surface band …

Kolmogorov-Arnold Wavefunctions
Paulo F. Bedaque, Jacob Cigliano, Hersh Kumar, Srijit Paul, Suryansh Rajawat
https://arxiv.org/abs/2506.02171 https://

Kolmogorov-Arnold Wavefunctions
This work investigates Kolmogorov-Arnold network-based wavefunction ansatz as viable representations for quantum Monte Carlo simulations. Through systematic analysis of one-dimensional model systems, we evaluate their computational efficiency and representational power against established methods. Our numerical experiments suggest some efficient training methods and we explore how the computational cost scales with desired precision, particle number, and system parameters. Roughly speaking, KAN…

Uniform semiclassical observable error bound of Trotterization without the Egorov theorem: a simple algebraic proof
Di Fang, Conrad Qu
https://arxiv.org/abs/2507.02783

Uniform semiclassical observable error bound of Trotterization without the Egorov theorem: a simple algebraic proof
Efficient simulation of the semiclassical Schrödinger equation has garnered significant attention in the numerical analysis community. While controlling the error in the unitary evolution or the wavefunction typically requires the time step size to shrink as the semiclassical parameter $h$ decreases, it has been observed -- and proved for first- and second-order Trotterization schemes -- that the error in certain classes of observables admits a time step size independent of $h$. In this work, …

Probing Quantum Spin Systems with Kolmogorov-Arnold Neural Network Quantum States
Mahmud Ashraf Shamim, Eric Reinhardt, Talal Ahmed Chowdhury, Sergei Gleyzer, Paulo T Araujo
https://arxiv.org/abs/2506.01891

Probing Quantum Spin Systems with Kolmogorov-Arnold Neural Network Quantum States
Neural Quantum States (NQS) are a class of variational wave functions parametrized by neural networks (NNs) to study quantum many-body systems. In this work, we propose SineKAN, the NQS ansatz based on Kolmogorov-Arnold Networks (KANs), to represent quantum mechanical wave functions as nested univariate functions. We show that \sk wavefunction with learnable sinusoidal activation functions can capture the ground state energies, fidelities and various correlation functions of the 1D Transverse-F…

Robustness of real-space topology in moir\'e systems
Kry\v{s}tof Kol\'a\v{r}, Kang Yang, Felix von Oppen, Christophe Mora
https://arxiv.org/abs/2507.00130

Robustness of real-space topology in moiré systems
The appearance of fractional Chern insulators in moiré systems can be rationalized by the presence of a fictitious magnetic field associated with the spatial texture of layer-resolved electronic wavefunctions. Here, we present a systematic study of real-space topology and the associated fictitious magnetic fields in moiré systems. We first show that at the level of individual Bloch wavefunctions, the real-space Chern number, akin to a Pontryagin index, is a fragile marker. It generically vani…

Pentaquarks made of light quarks and their admixture to baryons
Nicholas Miesch, Edward Shuryak, Ismail Zahed
https://arxiv.org/abs/2507.01861 https://

Pentaquarks made of light quarks and their admixture to baryons
This paper is a continuation of our studies of multiquark hadrons. The anti-symmetrization of their wavefunctions required by Fermi statistics is nontivial, as it mixes orbital, color, spin and flavor structures. In our previous papers we developed a method to find them based on the representations of the permutation group, and derived the explicit wave functions for baryons excited to the first and second shells $(L=1,2)$, tetraquarks $qq\bar q\bar q$ and hexaquarks ($6q$). Now we apply it t…

Symmetries of electron interactions in Hubbard models of unconventional superconductors
Sergei Urazhdin, Yiou Zhang
https://arxiv.org/abs/2507.02296 https:…

Symmetries of electron interactions in Hubbard models of unconventional superconductors
We use symmetry arguments to show that the matrix elements of electron-electron interaction on a lattice reach extrema in states composed of wavevectors near high-symmetry points of the Brillouin zone. The mechanism is illustrated by minimal models of cuprates and Fe-based superconductors, where this dependence originates from the wavevector-dependent orbital composition of wavefunctions. We discuss how these dependences can facilitate finite-momentum pairing. Our results provide symmetry-based…

Wavefunction branches demand a definition!
C. Jess Riedel
https://arxiv.org/abs/2506.15663 https://arxiv.org/pdf/2506.15663

Wavefunction branches demand a definition!
Under unitary evolution, a typical macroscopic quantum system is thought to develop wavefunction branches: a time-dependent decomposition into orthogonal components that (1) form a tree structure forward in time, (2) are approximate eigenstates of quasiclassical macroscopic observables, and (3) exhibit effective collapse of feasibly measurable observables. If they could be defined precisely, wavefunction branches would extend the theory of decoherence beyond the system-environment paradigm and …

Spin vs. position conjugation in quantum simulations with atoms: application to quantum chemistry
N. A. Moroz (Quantum Technology Centre, M.V. Lomonosov Moscow State University), K. S. Tikhonov (St. Petersburg State University and Russian Quantum Center, Russian Quantum Center), L. V. Gerasimov (Quantum Technology Centre, M.V. Lomonosov Moscow State University, Centre for Interdisciplinary Basic Research, HSE University), A. D. Manukhova (Department of Optics, Palacky University), I. B…

Spin vs. position conjugation in quantum simulations with atoms: application to quantum chemistry
The permutation symmetry is a fundamental attribute of the collective wavefunction of indistinguishable particles. It makes a difference for the behavior of collective systems having different quantum statistics but existing in the same environment. Here we show that for some specific quantum conjugation between the spin and spatial degrees of freedom the indistinguishable particles can behave similarly for either quantum statistics. In particular, a mesoscopically scaled collection of atomic q…