Entanglement of Solitons in the Frenkel-Kontorova Model
arXiv:0809.1857 · doi:10.1103/PhysRevA.78.052303
Abstract
We investigate entanglement of solitons in the continuum-limit of the nonlinear Frenkel-Kontorova chain. We find that the entanglement of solitons manifests particle-like behavior as they are characterized by localization of entanglement. The von-Neumann entropy of solitons mixes critical with noncritical behaviors. Inside the core of the soliton the logarithmic increase of the entropy is faster than the universal increase of a critical field, whereas outside the core the entropy decreases and saturates the constant value of the corresponding massive noncritical field. In addition, two solitons manifest long-range entanglement that decreases with the separation of the solitons more slowly than the universal decrease of the critical field. Interestingly, in the noncritical regime of the Frenkel-Kontorova model, entanglement can even increase with the separation of the solitons. We show that most of the entanglement of the so-called internal modes of the solitons is saturated by local degrees of freedom inside the core, and therefore we suggest using the internal modes as carriers of quantum information.
arXiv comment16 pages, 22 figures
References in corpus (23)
- A computable measure of entanglement
- Entanglement in quantum critical phenomena
- Peres-Horodecki separability criterion for continuous variable systems
- Entanglement in a simple quantum phase transition
- Quantum Communication Through an Unmodulated Spin Chain
- Perfect state transfer in quantum spin networks
- Distillation of secret key and entanglement from quantum states
- Entanglement Properties of the Harmonic Chain
- Bose-Einstein Condensates in Optical Lattices: Band-Gap Structure and Solitons
- The Propagation of Quantum Information Through a Spin System
- Spin Chains as Perfect Quantum State Mirrors
- Creation of Dark Solitons and Vortices in Bose-Einstein Condensates
- Towards mechanical entanglement in nano-electromechanical devices
- Spatial structures and localization of vacuum entanglement in the linear harmonic chain
- High efficiency transfer of quantum information and multi-particle entanglement generation in translation invariant quantum chains
- Mode-Wise Entanglement of Gaussian States
- Solid-State Quantum Communication With Josephson Arrays
- Frenkel-Kontorova model with cold trapped ions
- Engineering correlation and entanglement dynamics in spin systems
- Static Solitons of the Sine-Gordon Equation and Equilibrium Vortex Structure in Josephson Junctions
- Stability analysis of static solutions in a Josephson junction
- Josephson vortex interaction mediated by cavity modes: Tunable coupling for superconducting qubits
- Entanglement generation in harmonic chains: tagging by squeezing
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- Injection and nucleation of topological defects in the quench dynamics of the Frenkel-Kontorova model
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