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2
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Quantum chaos: Approach to classicality
In
https://arxiv.org/abs/physics/0105072
the authors state that
The entire field of quantum chaos is founded upon one
property of the classical limit, however, which is that
convergence to classicality …
1
vote
1
answer
55
views
Quantum chaos and tunnel effect
In quantum chaos, more concretely in quantum billiards, when an electron is moving within some certain chaotic-shaped domain, scars may appear if you introduce some losses on the boundaries where the propagating … So is quantum scarring related to quantum tunneling or is it more related to the spin being flipped? …
3
votes
1
answer
333
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How to define quantum chaos?
I was told that quantum chaos is just a system whose Hamiltonian's classical version shows chaotic behavior. However, I just wondering
what happens when one eigenstate of this Hamiltonian evolves? … However I still have no idea of how the eigenstate will evolve under "quantum chaotic" Hamiltonian. …
11
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2
answers
1k
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Is that true that real quantum chaos doesn't exist?
I read several books and papers on quantum chaos, to my understanding they all emphases that the quantum chaos does not really exist because the linearity of the Schrodinger equation. … Some works were done on the so-called quantum kicked rotors which was used as a quantum counterpart for the classical chaos. …
2
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1
answer
124
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Characteristic energy spectrum patterns in quantum chaos
https://www.scientificamerican.com/article/quantum-chaos-subatomic-worlds/
In this article, the author says that "the energy levels of a chaotic quantum system exhibit strong correlations." … Why chaotic quantum system's energy spectra are nearly correlated? …
5
votes
1
answer
489
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Bound on Quantum Chaos
I am currently reading the paper A Bound on Chaos. … In essence, I have 3 questions:
Would we get multiple Quantum Lyapunov exponents from higher point OTOC's?
What would the higher point OTOC's tell us about the chaotic behaviour of the system? …
6
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0
answers
276
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Is it possible to reproduce the energy spectrum of quantum chaos using classical cellular au...
Is it possible to reproduce the energy spectrum of quantum chaos using classical cellular automata? It's hardly impressive to reproduce harmonic oscillators. …
7
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4
answers
2k
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Randomness, Chaos, Quantum mechanical probability functions
Quantum randomness: The inherent probability distributions that we study in QM, where the electron's position probablity distribution is set by QM. … how do the concepts of randomness in coin toss, randomness in chaos and randomness in QM fit into a unified picture. Can someone please elaborate ? …
1
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0
answers
58
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Classical chaos at finite temperature
Is there any finite temperature generalization of classical chaos? … In quantum chaos, at least with regards to out-of-time-order correlators, the generalization is clear - one simply takes a thermal average instead of averaging over all states equally. …
6
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3
answers
9k
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What is the relationship between quantum physics and chaos theory?
Articles such as this one seem to hint at the fact that "macro reality" regulated by classical mechanics is somehow a pattern emerging out of quantum-level chaos. Is that correct? … Can anything at a quantum level be defined as a complex system?
I apologize if there are inaccuracies in the way the question is formulated, feel free to tear it apart and answer as it fits best. …
0
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3
answers
540
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Could quantum entanglement be explained in terms of synchronized chaos?
Most arguments against any hidden variable theories in quantum mechanics are based on Bell's theorem and consequences. … Could Einstein's "spooky action at a distance" be explained in terms of chaos theory? Could it all be explained based on synchronized chaotic systems? …
7
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3
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3k
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Does chaos theory occur in quantum mechanics? Or in any non-newtonian physics?
Does chaos theory occur in quantum mechanics? Or in any non-newtonian physics? Apart from perhaps thermodynamics? …
1
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2
answers
178
views
What can be the smallest chaotic system?
As I am talking about 'smallest' can I expect that it should be a quantum system? I understand that we use quantum chaos theory instead of perturbation theory when the perturbation is not small. … For example when quantum numbers are very high for an EM field interacting with an atom, we cannot use perturbation theory. In this case we will use the theory of quantum chaos. …
0
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1
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67
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What is the classical counterpart of ultra-cold atoms?
I'm studying quantum chaos in ultra-cold atoms. … However, quantum chaos denotes the quantum mechanics of classically chaotic systems and it is not clear to me what is the classical counterpart of models like the Bose-Hubbard model, for example. …
-2
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2
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580
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Chaos and quantum physics: How many ways can a bonfire burn?
I'm interested in the extent to which quantum physical effects are seen at a macroscopic level. … If we are effected by quantum physics at all, I imagine this is roughly a function of the timescale of the chaos effects. …