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 (2)
| Label | Occurrences |
|---|---|
| quantum chaos canonical | 1 |
| quantum ergodicity theorem | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T10991306 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: quantum chaos Context triple: [Montgomery's pair correlation conjecture, relatedTo, quantum chaos]
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A.
Chaos in Classical and Quantum Mechanics
"Chaos in Classical and Quantum Mechanics" is a seminal monograph by Martin Gutzwiller that systematically develops the theory of classical chaos and its profound connections to quantum mechanics, particularly through what is now known as the Gutzwiller trace formula.
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B.
Gutzwiller trace formula
The Gutzwiller trace formula is a semiclassical tool in quantum chaos that links the quantum energy spectrum of a system to the properties of its classical periodic orbits.
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C.
chaos theory
Chaos theory is a branch of mathematics and physics that studies how small differences in initial conditions can lead to vastly different outcomes in complex, dynamical systems, making long-term prediction effectively impossible.
-
D.
Gaussian symplectic ensemble
The Gaussian symplectic ensemble is a random matrix ensemble of self-dual quaternionic Hermitian matrices used in random matrix theory to model systems with time-reversal symmetry and strong spin–orbit coupling.
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E.
Floquet systems
Floquet systems are periodically driven quantum or classical systems whose behavior is analyzed using Floquet theory, often exhibiting exotic non-equilibrium phases such as time crystals.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: quantum chaos Target entity description: 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.
-
A.
Chaos in Classical and Quantum Mechanics
"Chaos in Classical and Quantum Mechanics" is a seminal monograph by Martin Gutzwiller that systematically develops the theory of classical chaos and its profound connections to quantum mechanics, particularly through what is now known as the Gutzwiller trace formula.
-
B.
Gutzwiller trace formula
The Gutzwiller trace formula is a semiclassical tool in quantum chaos that links the quantum energy spectrum of a system to the properties of its classical periodic orbits.
-
C.
chaos theory
Chaos theory is a branch of mathematics and physics that studies how small differences in initial conditions can lead to vastly different outcomes in complex, dynamical systems, making long-term prediction effectively impossible.
-
D.
Gaussian symplectic ensemble
The Gaussian symplectic ensemble is a random matrix ensemble of self-dual quaternionic Hermitian matrices used in random matrix theory to model systems with time-reversal symmetry and strong spin–orbit coupling.
-
E.
Floquet systems
Floquet systems are periodically driven quantum or classical systems whose behavior is analyzed using Floquet theory, often exhibiting exotic non-equilibrium phases such as time crystals.
- F. None of above. chosen
Statements (58)
| Predicate | Object |
|---|---|
| instanceOf |
research field
ⓘ
subfield of physics ⓘ subfield of quantum mechanics ⓘ |
| appliesTo |
Rydberg atoms
ⓘ
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
ⓘ
Berry–Tabor conjecture ⓘ Bohigas–Giannoni–Schmit conjecture ⓘ Gutzwiller trace formula ⓘ Lyapunov exponent in quantum systems ⓘ Poisson statistics ⓘ Wigner–Dyson statistics ⓘ
linked to:
Wigner surmise
dynamical localization ⓘ eigenfunction statistics ⓘ kicked rotor ⓘ level spacing distribution ⓘ out-of-time-ordered correlator ⓘ periodic orbit theory ⓘ quantum billiards ⓘ quantum ergodicity theorem ⓘ
linked to:
quantum chaos
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
ⓘ
Gaussian symplectic ensemble ⓘ Gaussian unitary ensemble ⓘ random matrix ensembles ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: quantum chaos Description of subject: 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.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: quantum chaos