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Nonlinear bulk photocurrent probe Z2 topological phase transition
Debasis Dutta, Raihan Ahammed, Yingdong Wei, Xiaokai Pan, Xiaoshuang Chen, Lin Wang, Amit Agarwal
https://arxiv.org/abs/2506.13493

Nonlinear bulk photocurrent probe Z2 topological phase transition
Detecting topological phase transitions in bulk is challenging due to the limitations of surface sensitive probes like ARPES. Here, we demonstrate that nonlinear bulk photocurrents, specifically shift and injection currents, serve as effective probes of Z_2 topological transitions. These photocurrents show a robust polarity reversal across the Z_2 phase transition, offering a direct optical signature that distinguishes strong topological phases from weak or trivial ones. This effect originates …

Topological Contextuality and Quantum Representations
Tzu-Miao Chou
https://arxiv.org/abs/2506.14537 https://arxiv.org/pdf/2506.14537…

Topological Contextuality and Quantum Representations
Quantum contextuality, a fundamental feature distinguishing quantum theory from classical models, is investigated via algebraic and topological structures inherent in modular tensor categories. This work rigorously demonstrates that braid group representations induced by modular categories, particularly those associated with SU(2) at level k and Fibonacci anyon models, exhibit state-dependent contextuality characterized by violations of noncontextuality inequalities. By explicitly constructing …

Searching for topological semi-complete bandgap in elastic truss lattices
Yiran Hao, Dong Liu, Liyou Luo, Jialu Mu, Hanyu Wang, Zibo Liu, Jensen Li, Zhihong Zhu, Qinghua Guo, Biao Yang
https://arxiv.org/abs/2506.13601

Searching for topological semi-complete bandgap in elastic truss lattices
Gapless topological phases have attracted significant interest across both quantum and classical systems owing to their novel physics and promising applications. However, the search for ideal gapless topological nodes inside a clear bandgap is still lacking in elastic systems. The degenerate points are always hidden in the trivial bulk bands due to the intricate elastic modes involved. Here, we find a topological semi-complete bandgap in a three-dimensional elastic truss lattice by tuning a sup…

DESI results and Dark Energy from QCD topological sectors
Ludovic Van Waerbeke, Ariel Zhitnitsky
https://arxiv.org/abs/2506.14182 https://

DESI results and Dark Energy from QCD topological sectors
We present a physically motivated model of dark energy (DE) rooted in the topological structure of the Quantum ChromoDynamic (QCD) vacuum. In this framework, DE emerges as the Universe expands, from the difference in vacuum energy between the expanding Universe and Minkowski spacetime, driven by QCD vacuum topological sectors. This leads to a modification of the dark energy term in the Friedmann equation, which then scales with the Hubble parameter as $ρ_{\rm DE}(t) \propto H(t)$ when dark ene…

Molecular Control of Floquet Topological Phase in Non-adiabatic Thouless Pumping
Ruiyi Zhou, Yosuke Kanai
https://arxiv.org/abs/2506.12147 https://

Molecular Control of Floquet Topological Phase in Non-adiabatic Thouless Pumping
Nonadiabatic Thouless pumping of electrons is studied in the framework of topological Floquet engineering, particularly focused on how changes to chemical moieties can control the emergence of the Floquet topological phase. We employ real-time time-dependent density functional theory to investigate the extent to which the topological invariant, the winding number, is impacted by molecular-level changes to trans-polyacetylene. In particular, several substitutions to trans-polyacetylene are studi…

Diagnosing 2D symmetry protected topological states via mixed state anomaly
Chao Xu, Yunlong Zang, Yixin Ma, Yingfei Gu, Shenghan Jiang
https://arxiv.org/abs/2506.13096

Diagnosing 2D symmetry protected topological states via mixed state anomaly
Symmetry-protected topological (SPT) phases are short-range entangled quantum states characterized by anomalous edge behavior, a manifestation of the bulk-boundary correspondence for topological phases. Moreover, the Li-Haldane conjecture posits that the entanglement spectrum exhibits the same anomaly as the physical edge spectrum, thereby serving as an entanglement-based fingerprint for identifying topological phases. In this work, we extend the entanglement-based diagnostic tools by demonstra…

The Redundancy of Full Nodes in Bitcoin: A Network-Theoretic Demonstration of Miner-Centric Propagation Topologies
Dr Craig S Wright
https://arxiv.org/abs/2506.14197

The Redundancy of Full Nodes in Bitcoin: A Network-Theoretic Demonstration of Miner-Centric Propagation Topologies
This paper formally examines the network structure of Bitcoin CORE (BTC) and Bitcoin Satoshi Vision (BSV) using complex graph theory to demonstrate that home-hosted full nodes are incapable of participating in or influencing the propagation topology. Leveraging established models such as scale-free networks and small-world connectivity, we demonstrate that the propagation graph is dominated by a densely interconnected miner clique, while full nodes reside on the periphery, excluded from all tra…

Detecting local topology with the spectral localizer
Alexander Cerjan, Hermann Schulz-Baldes
https://arxiv.org/abs/2506.14174 https://

Detecting local topology with the spectral localizer
The spectral localizer is a predictive framework for the computation of topological invariants of natural and artificial materials. Here, three crucial improvements on the criterion for the validity of the framework are reported: first, merely a properly defined local spectral gap of the Hamiltonian is required, second, only relative bounds on the Hamiltonian and its noncommutative derivative are relevant, and, third, the numerical constant in a tapering estimate is improved. These developments…

Union-Intersection Union-Find for Decoding Depolarizing Errors in Topological Codes
Tzu-Hao Lin, Ching-Yi Lai
https://arxiv.org/abs/2506.14745 https://

Union-Intersection Union-Find for Decoding Depolarizing Errors in Topological Codes
In this paper, we introduce the Union-Intersection Union-Find (UIUF) algorithm for decoding depolarizing errors in topological codes, combining the strengths of iterative and standard Union-Find (UF) decoding. While iterative UF improves performance at moderate error rates, it lacks an error correction guarantee. To address this, we develop UIUF, which maintains the enhanced performance of iterative UF while ensuring error correction up to half the code distance. Through simulations under code …