quantum chaos
E898471
Quantum chaos is the study of how chaotic behavior in classical systems manifests in their quantum counterparts, particularly through statistical properties of energy levels and wavefunctions.
All labels observed (1)
| Label | Occurrences |
|---|---|
| quantum chaos canonical | 1 |
Statements (58)
| Predicate | Object |
|---|---|
| instanceOf |
research field
ⓘ
subfield of physics ⓘ subfield of quantum mechanics ⓘ |
| appliesTo |
Rydberg atoms
NERFINISHED
ⓘ
atomic spectra ⓘ mesoscopic systems ⓘ microwave billiards ⓘ molecular spectra ⓘ nuclear spectra ⓘ quantum dots ⓘ |
| emergedIn | late 20th century ⓘ |
| fieldOf | theoretical physics ⓘ |
| hasGoal |
characterize universality in quantum spectra
ⓘ
understand correspondence between classical and quantum chaos ⓘ understand thermalization in isolated quantum systems ⓘ |
| hasKeyConcept |
Anderson localization
NERFINISHED
ⓘ
Berry–Tabor conjecture NERFINISHED ⓘ Bohigas–Giannoni–Schmit conjecture NERFINISHED ⓘ Gutzwiller trace formula NERFINISHED ⓘ Lyapunov exponent in quantum systems ⓘ Poisson statistics ⓘ Wigner–Dyson statistics NERFINISHED ⓘ dynamical localization ⓘ eigenfunction statistics ⓘ kicked rotor ⓘ level spacing distribution ⓘ out-of-time-ordered correlator ⓘ periodic orbit theory ⓘ quantum billiards ⓘ quantum ergodicity theorem NERFINISHED ⓘ quantum graphs ⓘ quantum maps ⓘ quantum scars in wavefunctions ⓘ quantum unique ergodicity ⓘ semiclassical propagator ⓘ semiclassical quantization ⓘ spectral form factor ⓘ stadium billiard ⓘ universality classes of spectral fluctuations ⓘ |
| relatedTo |
classical chaos
ⓘ
eigenstate thermalization hypothesis ⓘ nonlinear dynamics ⓘ quantum computation ⓘ quantum ergodicity ⓘ quantum information theory ⓘ quantum scars ⓘ random matrix theory ⓘ semiclassical analysis ⓘ spectral statistics ⓘ |
| studies |
quantum manifestations of classically chaotic dynamics
ⓘ
quantum signatures of classical chaos ⓘ semiclassical limits of quantum systems ⓘ statistical properties of quantum energy levels ⓘ statistical properties of quantum wavefunctions ⓘ |
| usesTool |
Gaussian orthogonal ensemble
NERFINISHED
ⓘ
Gaussian symplectic ensemble NERFINISHED ⓘ Gaussian unitary ensemble NERFINISHED ⓘ random matrix ensembles ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.