Entanglement properties of the harmonic chain
By Koenraad M. R. Audenaert, Jens Eisert, Martin Bodo Plenio, Reinhard F. Werner. 2002
302 citations recorded by the source corpus.
We study the entanglement properties of a closed chain of harmonic oscillators that are coupled via a translationally invariant Hamiltonian, where the coupling acts only on the position operators. We consider the ground state and thermal states of this system, which are Gaussian states. The entanglement properties of these states can be completely characterized analytically when one uses the logarithmic negativity as a measure of entanglement.
Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/0f1e9a30e77ec3b87d2f66b8dbacd2def2d52167
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In Artificial Intelligence
- E. Tonni
- Pasquale Calabrese
- J. Cardy
- Fernando G. S. L. Brandão
- T. Takayanagi
- Michal Horodecki
- Thomas Hartman
- T. Nishioka
In Atomic and Molecular Physics, and Optics
- Pasquale Calabrese
- E. Tonni
- J. Cardy
- B. Doyon
- T. Takayanagi
- Fernando G. S. L. Brandão
- Thomas Hartman
- Michal Horodecki
Citations in the corpus
- Form Factors of Branch-Point Twist Fields in Quantum Integrable Models and Entanglement Entropy (2007, background): “l, there has been considerable interest in formulating measures of quantum entanglement [4]-[8] and applying them to extended quantum systems with many degrees of freedom, such as quantum spin chains [9]-[17]. One of these measures is entanglement entropy [4]. Consider a quantum system, with Hilbert”
- Entanglement negativity in extended systems: a field theoretical approach (2012, background): “The fact that the negativity is computable made it a remarkable tool to study the tripartite entanglement content of many-body quantum systems both in their ground state [10]–[15] or out of equilibrium [16, 17].”
- Exponential Decay of Correlations Implies Area Law (2012, background): “…in the context of black hole entropy [12], and more recently in the context of quantum spin systems [13, 14] and quantum harmonic systems [15–17] (see [10] for more references), an increasing body of evidence appeared suggesting that states corresponding to the ground or to low-lying…”
- Finite temperature entanglement negativity in conformal field theory (2014, methodology): “We consider the harmonic chain because it is the only lattice model in which the partial transpose and the negativity can be obtained by means of correlation matrix techniques [28, 29, 68, 69].”