110 citations · 110 across the 4 of their papers we have counts for
4 papers · 1 filter
Wasserstein Space of Quantum Chaos
Koji Hashimoto, Norihiro Tanahashi, Kentaroh Yoshida
We find that the effective dimension of the Wasserstein space of energy eigenstates decreases as a quantum system becomes more chaotic. To demonstrate this, we study a quantum coup…
Holography and Optimal Transport: Emergent Wasserstein Spacetime in Harmonic Oscillator, SYK and Krylov Complexity
Koji Hashimoto, Norihiro Tanahashi
Optimal transport and Wasserstein distance are prominent tools to quantify the space of probability distributions. From a novel viewpoint of manifold hypothesis in machine learning…
Spacetime-Localized Response in Quantum Critical Spin Systems: Insights from Holography
Motoaki Bamba, Koji Hashimoto, Keiju Murata +2
According to the AdS/CFT correspondence, certain quantum many-body systems in -dimensions are equivalent to gravitational theories in -dimensional asymptotically AdS spac…
Tachyon Condensates, Carrollian Contraction of Lorentz Group, and Fundamental Strings
Gary Gibbons, Koji Hashimoto, Piljin Yi
We study the rolling tachyon condensate in the presence of a gauge field. The generic vacuum admits both a rolling tachyon, \dot{T}, and a uniform electric field, \vec{E}, which to…