6 papers
Algebraic Tomography of Non-Hermitian Floquet Systems from Observable Traces
Syo Kamata
We formulate a framework of Floquet algebraic tomography for finite-dimensional non-Hermitian monodromy matrices from observable trace sequences . Since…
Exact WKB analysis of inverted triple-well: resonance, PT-symmetry breaking, and resurgence
Syo Kamata, Tatsuhiro Misumi, Cihan PazarbaÅı +1
We study non-Hermitian quantum mechanics of an inverted triple-well potential within the exact WKB framework. For a single classical potential, different Siegert boundary condition…
Exact Sum Rules and Zeta Generating Formulas from the ODE/IM correspondence
Syo Kamata
We develop a spectral-zeta framework for quantum mechanics with the -symmetric potential and…
Topological Uncertainty for Anomaly Detection in the Neural-network EoS Inference with Neutron Star Data
Kenji Fukushima, Syo Kamata
We study the performance of the Topological Uncertainty (TU) constructed with a trained feedforward neural network (FNN) for Anomaly Detection. Generally, meaningful information ca…
Stochastic quantization and diffusion models
Kenji Fukushima, Syo Kamata
This is a pedagogical review of the possible connection between the stochastic quantization in physics and the diffusion models in machine learning. For machine-learning applicatio…
Exact quantization conditions and full transseries structures for symmetric anharmonic oscillators
Syo Kamata
We study exact Wentzel-Kramers-Brillouin analysis (EWKB) for a symmetric quantum mechanics (QM) defined by the potential that $V_{\cal PT}(x) = Ï^2 x^2 + g x^{2 K} (i…