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Article Dans Une Revue Phys.Rev.Lett. Année : 2021

Hierarchy of Nonlinear Entanglement Dynamics for Continuous Variables

Yin Cai
  • Fonction : Auteur
Yanpeng Zhang
  • Fonction : Auteur
Min Xiao
  • Fonction : Auteur

Résumé

The entanglement produced by a bilinear Hamiltonian in continuous variables has been thoroughly studied and widely used. In contrast, the physics of entanglement resulting from nonlinear interaction described by partially degenerate high-order Hamiltonians remains unclear. Here, we derive a hierarchy of sufficient and necessary conditions for the positive-partial-transposition separability of bipartite nonlinear quantum states. The proposed criteria detect the nonpositive-partial-transposition inseparability of higher-order moments of states, which provides a systematic framework for the characterization of this kind of entanglement. Through numerical simulation of cubic and quartic Hamiltonians, we demonstrate the existence and competition of a hierarchy of entanglement witnesses, revealing the mechanism underlying such entanglement. Our results may provide a new direction in continuous variable quantum information processing.

Dates et versions

hal-03437088 , version 1 (19-11-2021)

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Citer

Da Zhang, David Barral, Yin Cai, Yanpeng Zhang, Min Xiao, et al.. Hierarchy of Nonlinear Entanglement Dynamics for Continuous Variables. Phys.Rev.Lett., 2021, 127, pp.150502. ⟨10.1103/PhysRevLett.127.150502⟩. ⟨hal-03437088⟩
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