The DOI matches its Crossref record; 35 of the 35 references it cites were found in a registry or an index.
Bipartite entanglement and entropic boundary law in lattice spin systems
Open accessAbstract
We investigate bipartite entanglement in spin-$1∕2$ systems on a generic lattice. For states that are an equal superposition of elements of a group $G$ of spin flips acting on the fully polarized state ${\ensuremath{\mid}0⟩}^{\ensuremath{\bigotimes}n}$, we find that the von Neumann entropy depends only on the boundary between the two subsystems $A$ and $B$. These states are stabilized by the group $G$. A physical realization of such states is given by the ground state manifold of the Kitaev's model on a Riemann surface of genus $\mathfrak{g}$. For a square lattice, we find that the entropy of entanglement is bounded from above and below by functions linear in the perimeter of the subsystem $A$ and is equal to the perimeter (up to an additive constant) when $A$ is convex. The entropy of entanglement is shown to be related to the topological order of this model. Finally, we find that some of the ground states are absolutely entangled, i.e., no partition has zero entanglement. We also provide several examples for the square lattice.
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Cites
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Entanglement in Quantum Critical Phenomena
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Efficient Classical Simulation of Slightly Entangled Quantum Computations
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Entanglement in many-body systems
Amico, L., Fazio, R., Osterloh, A., & Vedral, V. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.517 · Cited by 3,745
Colloquium : Area laws for the entanglement entropy
Eisert, J., Cramer, M., & Plenio, M. B. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.277 · Cited by 2,873
Detecting Topological Order in a Ground State Wave Function
Levin, M., & Wen, X.-G. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.110405 · Cited by 2,068
Evolution of entanglement entropy in one-dimensional systems
Calabrese, P., & Cardy, J. (2005) · Journal of Statistical Mechanics: Theory and Experiment · doi:10.1088/1742-5468/2005/04/p04010 · Cited by 1,295
Quantum Zeno effect and the many-body entanglement transition
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Metadata
- Authors
- Hamma, A., Ionicioiu, R., & Zanardi, P.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2005-02-22
- Volume
- 71
- Issue
- 2
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2068367705
- Cited by
- 296
- References
- 35
- FWCI
- 7.58
- Type
- journal article
- Language
- en
- Open access
- green
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