Dynamical correlations of negativity and entropy for pure and mixed states in two coupled quartic oscillators

Hou, Xi-Wen; Wan, Ming-Fang; Ma, Zhong‐Qi

doi:10.1140/epjd/e2011-10476-x

Cited by 12 publications

(3 citation statements)

References 78 publications

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“…Both effects are a consequence of the emergence of quantum entanglement between the two spins which finally allows a description of the eigenstates in quantum numbers of the total spin S T and the total magnetic moment m z . There are many different approaches to measure quantum entanglement [181,182,183] that are based, for example, on the formation or distillation of entanglement [184], the entropy [185,186,187], the concurrence [188], or the tangle [189,190]. Here, we will restrict ourself to the "negativity" N [191,192,193], which is the sum of the negative eigenvalues λ j of the partially, with respect to the subsystem Γ i of the i-th spin, transposed density matrix χ Γi :…”

Section: ⟨Smentioning

confidence: 99%

Probing magnetic excitations and correlations in single and coupled spin systems with scanning tunneling spectroscopy

Ternes

2017

Progress in Surface Science

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Spectroscopic measurements with low-temperature scanning tunneling microscopes have been used very successfully for studying not only individual atomic or molecular spins on surfaces but also complexly designed coupled systems. The symmetry breaking of the supporting surface induces magnetic anisotropy which lead to characteristic fingerprints in the spectrum of the differential conductance and can be well understood with simple model Hamiltonians. Furthermore, correlated many-particle states can emerge due to the interaction with itinerant electrons of the electrodes, making these systems ideal prototypical quantum systems. In this manuscript more complex bipartite and spin-chains will be discussed additionally. Their spectra enable to determine precisely the nature of the interactions between the spins which can lead to the formation of new quantum states which emerge by interatomic entanglement. Figure 1: (a) Schematic view of the tunneling process between the electrodes of an idealized tip and sample with their constant densities of states ρt and ρs, respectively: In addition to the elastic tunneling current, an inelastic channel may open at a bias |eV T | ≥ ε i with ε i as the energy difference between the ground and an excited internal state. Under this circumstances an electron crossing the barrier can change its quantum state by losing part of its energy and exciting an internal degree of freedom, for example, the spin orientation of an magnetic adsorbate on the surface. (b) Schematic differential conductance, dI/dV (upper curve) and dI 2 /d 2 V (lower curve), spectra of an inelastic tunneling process. Symmetrically around E F a step like structure at a bias voltage |eV T | = ε i is detected in the dI/dV curve. This is smeared out at non-zero temperature (dashed line) leading to peaks with a width of 5.4k B T in the dI 2 /d 2 V curve. Figure adapted from reference [17].

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Section: ⟨Smentioning

confidence: 99%

Probing magnetic excitations and correlations in single and coupled spin systems with scanning tunneling spectroscopy

Ternes

2017

Progress in Surface Science

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“…The dynamics of energy in two anharmonic oscillators is investigated in terms of classical and quantum mechanics [5], where explicit conditions are presented for the complete energy exchange via 1:1 or 1:2 resonance between two modes. Moreover, the connection between entanglement entropy and energy transfer is analyzed for integrable [6] and nonintegrable [7] systems. Recently, such connection has been further considered for various quantum states in small polyatomic molecules [8,9].…”

Section: Introductionmentioning

confidence: 99%

“…Additionally, the dynamics [10] and the control [11] of entanglement have been studied for other systems. Those investigations [5][6][7][8][9][10][11] are, however, concentrated on a bipartite system. It is thus interesting and necessary to explore the dynamical correlation between entanglement and energy in a multipartite system.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of Tripartite Entanglement and Intramolecular Energy in Symmetric Trimer Molecule

Jian

Hou

2016

Chinese Journal of Chemical Physics

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The dynamics of tripartite entanglement and intramolecular energy for one harmonic-and two anharmonic-vibrational modes in a symmetric trimer molecule is studied for various initial states, where the entanglement is quantified in terms of concurrence and the interacting energy among three modes is calculated to establish a link between entanglement and energy. It is shown that the concurrence and the interacting energy behave dominantly positive correlation for the localized state in the anharmonic-vibrational mode, while they are dominantly anti-correlated for the localized state in the harmonic-vibrational mode. The relation between bipartite entanglement and the energy in a subsystem is discussed as well. Those are useful for quantum computing and quantum information in high dimensional states prepared in polyatomic molecules.

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Quantum entanglement and squeezing in coupled harmonic and anharmonic oscillator systems

Chew

Chung

2011

J Russ Laser Res

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Dynamical correlations of negativity and entropy for pure and mixed states in two coupled quartic oscillators

Cited by 12 publications

References 78 publications

Probing magnetic excitations and correlations in single and coupled spin systems with scanning tunneling spectroscopy

Probing magnetic excitations and correlations in single and coupled spin systems with scanning tunneling spectroscopy

Dynamics of Tripartite Entanglement and Intramolecular Energy in Symmetric Trimer Molecule

Quantum entanglement and squeezing in coupled harmonic and anharmonic oscillator systems

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