Tootfinder

This https://arxiv.org/abs/2403.19612 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csCV_…

ILPO-NET: Network for the invariant recognition of arbitrary volumetric patterns in 3D
Effective recognition of spatial patterns and learning their hierarchy is crucial in modern spatial data analysis. Volumetric data applications seek techniques ensuring invariance not only to shifts but also to pattern rotations. While traditional methods can readily achieve translational invariance, rotational invariance possesses multiple challenges and remains an active area of research. Here, we present ILPO-Net (Invariant to Local Patterns Orientation Network), a novel approach that handle…

On the computation of lattice sums without translational invariance
Andreas A. Buchheit, Torsten Ke{\ss}ler, Kirill Serkh
https://arxiv.org/abs/2403.03213 …

On the computation of lattice sums without translational invariance
This work introduces a framework for the efficient computation of oscillatory multidimensional lattice sums in geometries with boundaries, a problem intersecting pure and applied mathematics with immediate applications in condensed matter physics and topological quantum physics. The challenge in evaluating the arising sums results from the combination of singular long-range interactions with the loss of translational invariance caused by the boundaries, rendering standard tools ineffective. Our…

This https://arxiv.org/abs/2403.19612 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csCV_…

ILPO-NET: Network for the invariant recognition of arbitrary volumetric patterns in 3D
Effective recognition of spatial patterns and learning their hierarchy is crucial in modern spatial data analysis. Volumetric data applications seek techniques ensuring invariance not only to shifts but also to pattern rotations. While traditional methods can readily achieve translational invariance, rotational invariance possesses multiple challenges and remains an active area of research. Here, we present ILPO-Net (Invariant to Local Patterns Orientation Network), a novel approach that handle…

This https://arxiv.org/abs/2403.03213 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On the computation of lattice sums without translational invariance
This work introduces a framework for the efficient computation of oscillatory multidimensional lattice sums in geometries with boundaries, a problem intersecting pure and applied mathematics with immediate applications in condensed matter physics and topological quantum physics. The challenge in evaluating the arising sums results from the combination of singular long-range interactions with the loss of translational invariance caused by the boundaries, rendering standard tools ineffective. Our…

This https://arxiv.org/abs/2403.03213 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On the computation of lattice sums without translational invariance
This work introduces a framework for the efficient computation of oscillatory multidimensional lattice sums in geometries with boundaries, a problem intersecting pure and applied mathematics with immediate applications in condensed matter physics and topological quantum physics. The challenge in evaluating the arising sums results from the combination of singular long-range interactions with the loss of translational invariance caused by the boundaries, rendering standard tools ineffective. Our…

Observation of vortices in a dipolar supersolid
Eva Casotti, Elena Poli, Lauritz Klaus, Andrea Litvinov, Clemens Ulm, Claudia Politi, Manfred J. Mark, Thomas Bland, Francesca Ferlaino
https://arxiv.org/abs/2403.18510

Observation of vortices in a dipolar supersolid
Supersolids are states of matter that spontaneously break two continuous symmetries: translational invariance due to the appearance of a crystal structure and phase invariance due to phase locking of single-particle wave functions, responsible for superfluid phenomena. While originally predicted to be present in solid helium, ultracold quantum gases provided a first platform to observe supersolids, with particular success coming from dipolar atoms. Phase locking in dipolar supersolids has been …

Quantum kinetic equation and thermal conductivity tensor for bosons
L\'eo Mangeolle, Lucile Savary, Leon Balents
https://arxiv.org/abs/2402.17329 https…

Quantum kinetic equation and thermal conductivity tensor for bosons
We systematically derive the quantum kinetic equation in full phase space for any quadratic hamiltonian of bosonic fields, including in the absence of translational invariance. This enables the treatment of boundaries, inhomogeneous systems and states with non-trivial textures, such as skyrmions in the context of magnetic bosons. We relate the evolution of the distribution of bosons in phase space to single-electron, band-diagonal, physical quantities such as Berry curvature and energy magnetiz…

This https://arxiv.org/abs/2310.07108 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

An efficient saddle search method for ordered phase transitions involving translational invariance
In this work, we propose an efficient nullspace-preserving saddle search (NPSS) method for a class of phase transitions involving translational invariance, where the critical states are often degenerate. The NPSS method includes two stages, escaping from the basin and searching for the index-1 generalized saddle point. The NPSS method climbs upward from the generalized local minimum in segments to overcome the challenges of degeneracy. In each segment, an effective ascent direction is ensured b…