Kicked top

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چکیده

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Entanglement and chaos in the kicked top.

The standard kicked top involves a periodically kicked angular momentum. By considering this angular momentum as a collection of entangled spins, we compute the bipartite entanglement dynamics as a function of the dynamics of the classical counterpart. Our numerical results indicate that the entanglement of the quantum top depends on the specific details of the dynamics of the classical top rat...

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Comment on "entanglement and chaos in the kicked top".

We comment on the investigation of the connection between chaos and dynamically generated entanglement in Lombardi and Matzkin [Phys. Rev. E 83, 016207 (2011)PRESCM1539-375510.1103/PhysRevE.83.016207]. Whereas, in the referred paper, the authors give an explicit example of a state initially localized in the regular region and still has entanglement properties similar to the states localized in ...

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Hypersensitivity to perturbation in the quantum kicked top.

For the quantum kicked top we study numerically the distribution of Hilbertspace vectors evolving in the presence of a small random perturbation. For an initial coherent state centered in a chaotic region of the classical dynamics, the evolved perturbed vectors are distributed essentially like random vectors in Hilbert space. In contrast, for an initial coherent state centered near an elliptic ...

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Semiclassical spectra without periodic orbits for a kicked top.

Instytut Fizyki, Uniwersytet Jagielloński, ul. Reymonta 4, PL-30-059 Kraków, Poland (Received 24 June 1994) We present an h̄ ! 0 approximation for the quasienergy spectrum of a periodically kicked top, valid under conditions of both regular and chaotic classical motion. In contrast to conventional periodic-orbit theory we implement the semiclassical limit for each matrix element of the Floquet o...

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Spin squeezing properties in the quantum kicked top model

We study spin squeezing, an intrinsically quantum property, in the quantum kicked top model exhibiting chaotic behaviours in the classical limit. We show that spin squeezing can reveal the underlying chaotic and regular structures in phase space given by a sphere with a unit radius, namely, spin squeezing vanishes after a very short time for an initial spin coherent state centred in a chaotic r...

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ژورنال

عنوان ژورنال: Scholarpedia

سال: 2010

ISSN: 1941-6016

DOI: 10.4249/scholarpedia.10242