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Ground state entanglement and geometric entropy in the Kitaev model
Open accessAbstract
Abstract We study the entanglement properties of the ground state in Kitaev's model. This is a two-dimensional spin system with a torus topology and non-trivial four-body interactions between its spins. For a generic partition ( A , B ) of the lattice we calculate analytically the von Neumann entropy of the reduced density matrix ρ A in the ground state. We prove that the geometric entropy associated with a region A is linear in the length of its boundary. Moreover, we argue that entanglement can probe the topology of the system and reveal topological order. Finally, no partition has zero entanglement and we find the partition that maximizes the entanglement in the given ground state.
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Cites
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Amico, L., Fazio, R., Osterloh, A., & Vedral, V. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.517 · Cited by 3,745
Quantum entanglement in condensed matter systems
Laflorencie, N. (2016) · Physics Reports · doi:10.1016/j.physrep.2016.06.008 · Cited by 765
Quantum Zeno effect and the many-body entanglement transition
Li, Y., Chen, X., & Fisher, M. P. A. (2018) · Physical Review B · doi:10.1103/physrevb.98.205136 · Cited by 707
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Li, Y., Chen, X., & Fisher, M. P. A. (2019) · Physical Review B · doi:10.1103/physrevb.100.134306 · Cited by 593
Inversion-symmetric topological insulators
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Metadata
- Authors
- Hamma, A., Ionicioiu, R., & Zanardi, P.
- Venue
- Physics Letters A
- Publisher
- Elsevier BV
- Published
- 2005-03
- Volume
- 337
- Issue
- 1-2
- Pages
- 22-28
- ISSN
- 0375-9601 (ISSN-L)
- OpenAlex
- W2065666121
- Cited by
- 252
- References
- 15
- FWCI
- 4.10
- Type
- journal article
- Language
- en
- Open access
- green
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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