Bipartite entanglement and localization of one-particle states
arXiv:quant-ph/0308116 · doi:10.1088/0305-4470/37/44/014
Abstract
We study bipartite entanglement in a general one-particle state, and find that the linear entropy, quantifying the bipartite entanglement, is directly connected to the paricitpation ratio, charaterizing the state localization. The more extended the state is, the more entangled the state. We apply the general formalism to investigate ground-state and dynamical properties of entanglement in the one-dimensional Harper model.
arXiv comment4 pages and 3 figures. Version 1
References in corpus (18)
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Three qubits can be entangled in two inequivalent ways
- Entanglement of a Pair of Quantum Bits
- Distributed Entanglement
- Scaling of Entanglement close to a Quantum Phase Transitions
- Entanglement in a simple quantum phase transition
- Natural Thermal and Magnetic Entanglement in 1D Heisenberg Model
- Simulation of Many-Body Fermi Systems on a Universal Quantum Computer
- Quantum telecloning and multiparticle entanglement
- Entanglement in the Quantum Heisenberg XY model
- Quantum Entanglement in Fermionic Lattices
- Entangled Rings
- Thermal concurrence mixing in a 1D Ising model
- Quantum Chaos Border for Quantum Computing
- Entanglement molecules
- Fermionic entanglement in itinerant systems
- Entanglement sharing in one-particle states
- Mode entanglement of electrons in the one-dimensional Frenkel-Kontorova model
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- Untangling entanglement and chaos
- Canonical entanglement for two indistinguishable particle
- Entanglement of localized states
- Classical bifurcations and entanglement in smooth Hamiltonian system
- Entanglement in Disordered Systems at Criticality
- Entanglement of a microcanonical ensemble