Chaos, entanglement, and decoherence in the quantum kicked top

We present an analysis of the entangling quantum kicked top focusing on the few qubit case and the initial condition dependence of the time-averaged entanglement SQ for spin-coherent states. We show a very strong connection between the classical phase space and the initial condition dependence of SQ even for the extreme case of two spin-1/2 qubits. This correlation is not related directly to chaos in the classical dynamics. We introduce a measure of the behavior of a classical trajectory which correlates far better with the entanglement and show that the maps of classical and quantum initial-condition dependence are both organized around the symmetry points of the Hamiltonian. We also show clear (quasi-)periodicity in entanglement as a function of number of kicks and of kick strength.

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“…Since the dynamics are restricted to the symmetric subspace of the total spin, the entropy can also be written as [6] …”

Section: Background: the Kicked Topmentioning

confidence: 99%

“…It has been extensively studied both theoretically and experimentally for over two decades [1][2][3][4][5][6][7][8][9] and continues to be investigated today [10,11].…”

Section: Introductionmentioning

confidence: 99%

Entanglement and its relationship to classical dynamics

2017

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“…transitions from quantum state superpositions into incoherent classical mixtures of eigenstates. In order to study this process, spin baths [2][3][4][5][6][7][8][9] or quantum kicked tops [10][11][12][13] are interesting systems. Spin baths can be studied by NMR experiments and can be viewed as assemblies of qubits (a qubit is an unit of quantum information in quantum computing).…”

Section: Introductionmentioning

confidence: 99%

Decoherence, relaxation, and chaos in a kicked-spin ensemble

Viennot¹,

Aubourg²

2013

Phys. Rev. E

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We study the dynamics of a quantum spin ensemble controlled by trains of ultrashort pulses. To model disturbances of the kicks, we consider that the spins are submitted to different kick trains which follow regular, random, stochastic or chaotic dynamical processes. These are described by dynamical systems on a torus. We study the quantum decoherence and the population relaxation of the spin ensemble induced by these classical dynamical processes disturbing the kick trains. For chaotic kick trains we show that the decoherence and the relaxation processes exhibit a signature of chaos directly related to the Lyapunov exponents of the dynamical system. This signature is a horizon of coherence, i.e. a preliminary duration without decoherence followed by a rapid decoherence process.

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“…Morena & K. M. Short suggests otherwise [Freedman & Clauser, 1972;McHarris, 2007;Ghose et al, 2008a;Haake, 2010]. For example, the dynamical generation of quantum entanglement is now thought to be affected by the presence of chaos in the corresponding classical dynamics [Ghose et al, 2008b;Chaudhury et al, 2009]. Furthermore, through quantum scarring a chaotic system's set of UPOs has been found to link the two research fields together [Heller, 1984;Larson et al, 2013].…”

Section: Introductionmentioning

confidence: 95%

On the Potential for Entangled States Between Chaotic Systems

Morena

Short

2014

Int. J. Bifurcation Chaos

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We report on the tendency of chaotic systems to be controlled onto their unstable periodic orbits in such a way that these orbits are stabilized. The resulting orbits are known as cupolets and collectively provide a rich source of qualitative information on the associated chaotic dynamical system. We show that pairs of interacting cupolets may be induced into a state of mutually sustained stabilization that requires no external intervention in order to be maintained and is thus considered bound or entangled. A number of properties of this sort of entanglement are discussed. For instance, should the interaction be disturbed, then the chaotic entanglement would be broken. Based on certain properties of chaotic systems and on examples which we present, there is further potential for chaotic entanglement to be naturally occurring. A discussion of this and of the implications of chaotic entanglement in future research investigations is also presented.

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Chaos, entanglement, and decoherence in the quantum kicked top

Cited by 74 publications

References 51 publications

Entanglement and its relationship to classical dynamics

Entanglement and its relationship to classical dynamics

Decoherence, relaxation, and chaos in a kicked-spin ensemble

On the Potential for Entangled States Between Chaotic Systems

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