Kicked Rotor
random-matrix-quantum · 37 views
random-matrix-quantumchaotic
What It Is
Quantum kicked rotor --- dynamical localization freezes classical chaos, Anderson localization in momentum space
Interpretation
Standard analysis sees: strongly periodic. The atlas finds no named structure, but the source is distinctively extreme on S² × ℝ (Thurston):height_drift (+2.4z) — beyond what the standard bank predicts for it.
What standard analysis sees
tail heaviness0.48
asymmetry0.22
occupancy0.83
short-range corr0.63
long-range memory0.60
spectral colour0.38
periodicity0.85
complexity0.70
time-irreversibility0.37
volatility clustering0.58
multifractality0.47
dimensionality0.57
nonstationarity0.52
What the atlas adds
Atlas-extreme metrics the standard bank can’t predict for this source
S² × ℝ (Thurston):height_drift | +2.4z | bank-miss 1.8σ |
Composition
dtypefloat64
range[641.9, 1857]
unique values16222 / 16384
mean ± std1.21e+03 ± 259
Render Gallery
Native > phase_plotraw
Native > timeseriesraw
Native > triple_latticeraw
Boltzmann > lag_map
Boltzmann > spin_grid
Cayley > default
Chladni > free_plate_nodal
Chladni > plate_bottom
Chladni > plate_top
_(centered)/signed_log_z/Kicked_Rotor.png)
Heisenberg (Nil) (centered) > signed_log_z
_(centered)/xy_path/Kicked_Rotor.png)
Heisenberg (Nil) (centered) > xy_path
Hodge–Laplacian > default
/barcode/Kicked_Rotor.png)
Inflation (Substitution) > barcode
/d_curve/Kicked_Rotor.png)
Inflation (Substitution) > d_curve
Information Theory > default
Julia Set > escape_histogram
Klein Bottle > default
Laplacian > default
Logarithmic Spiral > default
Möbius-S³ > mobius_cylinder
Möbius-S³ > s2_base_map
Ordinal Partition > default
/phi_spectrum/Kicked_Rotor.png)
Penrose (Quasicrystal) > phi_spectrum
Persistent Homology > barcode
Persistent Homology > h1_diagram
Predictability > default
Recurrence Quantification > default
Spectral Analysis > default
Spectral Graph > default
Spirograph > mode_spectrum
Spirograph > phasor_trajectory
Symplectic > flux_grid
Symplectic > phase_space
/default/Kicked_Rotor.png)
Ulam Spiral (Sacks) > default
/default/Kicked_Rotor.png)
Ulam Spiral (Square) > default
Visibility Graph > default
Wavelet Cascade > default
Atlas Position
| Nearest neighbor | Distance | |
|---|---|---|
| Kuramoto Oscillators | 3.17 | cross-origin |
| Ornstein-Uhlenbeck | 3.71 | cross-origin |
| Bearing Normal | 3.87 | cross-origin |
Which Geometries Light Up
This source does not rank extreme on any metric.
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