Entanglement and chaos in the kicked top

Lombardi, M.; Matzkin, A.

doi:10.1103/physreve.83.016207

Cited by 59 publications

(74 citation statements)

References 35 publications

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“…Therefore, as discussed above and as Figs. 3(c) and 3(d) show, one needs to be careful with the initial states at the border [30] that has an average value of discord comparable to the value inside the chaotic sea. This is especially true for lower values of j such that the system is far from the classical limit.…”

Section: Dynamics Of Quantum Correlationsmentioning

confidence: 99%

Signatures of chaos in the dynamics of quantum discord

et al. 2015

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of chaos in the dynamics of quantum discord", Physical Review E 91, 032906 (2015).PHYSICAL REVIEW E 91, 032906 (2015) Signatures of chaos in the dynamics of quantum discord We identify signatures of chaos in the dynamics of discord in a multiqubit system collectively modelled as a quantum kicked top. The evolution of discord between any two qubits is quasiperiodic in regular regions, while in chaotic regions the quasiperiodicity is lost. As the initial wave function is varied from the regular regions to the chaotic sea, a contour plot of the time-averaged discord remarkably reproduces the structures of the classical stroboscopic map. We also find surprisingly opposite behavior of two-qubit discord versus entanglement of the two qubits as measured by the concurrence. Our results provide evidence of signatures of chaos in dynamically generated discord.

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Section: Dynamics Of Quantum Correlationsmentioning

confidence: 99%

Signatures of chaos in the dynamics of quantum discord

et al. 2015

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“…I C incorporates insights similar to Ref. [9] about orbit delocalization but is significantly easier to compute. We see that I C correlates well with S Q across a wide range of system dynamical behaviors, and certainly does better than any attempt to correlate the entanglement with measures of chaos.…”

Section: Introductionmentioning

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%

“…Dissenters from this consensus include Lombardi and Matzkin [9] who have argued with specific counterexamples that high quantum entanglement can occur for initial conditions with centroids initialized in classically regular regions. These authors further compare the entanglement with an analagous quantity for a classical probability distribution, deriving from the premise that the classical and quantum (expectation value) dynamics agree with each other for longer times for classical probability distributions than for individual classical initial conditions.…”

Section: Introductionmentioning

confidence: 99%

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Entanglement and its relationship to classical dynamics

2017

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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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“…Apart from these lines of research, there is an increased interest in the entanglement dynamics and its quantum-classical correspondence. Theoretically and experimentally it is observed that, there exist a clear relationship between quantum entanglement and classical chaos [Miller & Sarkar, 1999;Ghose & Sanders, 2004;Chaudhury et al, 2009;Lombardi & Matzkin, 2011;Lakshminarayan, 2001].…”

Section: Introductionmentioning

confidence: 99%

Exploring Chaos and Entanglement in the Hénon–Heiles System Using Squeezed Coherent States

Joseph

Sanjuán

2016

Int. J. Bifurcation Chaos

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Quantum entanglement in the Hénon-Heiles system is analyzed using the squeezed coherent state. Enhancement of quantum entanglement via squeezing is explored in connection with chaotic and regular dynamics of the system. It is found that the entanglement enhancement via squeezing is implicitly linked to the local structure of the classical phase-space and it shows a clear quantum-classical correspondence. In particular, the entanglement enhancement via squeezing is found to be negligible for a highly chaotic orbit compared to the regular and weakly chaotic orbits, and shows a clear correspondence to the degree of chaos present in the classical initial condition. We believe that these results might be useful to develop efficient strategies to enhance entanglement in quantum systems.

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Entanglement and chaos in the kicked top

Cited by 59 publications

References 35 publications

Signatures of chaos in the dynamics of quantum discord

Signatures of chaos in the dynamics of quantum discord

Entanglement and its relationship to classical dynamics

Exploring Chaos and Entanglement in the Hénon–Heiles System Using Squeezed Coherent States

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