Entanglement entropy of excited states
By V. Alba, M. Fagotti, Pasquale Calabrese. 2009
154 citations recorded by the source corpus.
We study the entanglement entropy of a block of contiguous spins in excited states of spin chains. We consider the XY model in a transverse field and the XXZ Heisenberg spin chain. For the latter, we developed a numerical application of the algebraic Bethe ansatz. We find two main classes of states with logarithmic and extensive behavior in the dimension of the block, characterized by the properties of excitations of the state. This behavior can be related to the locality properties of the Hamiltonian having a given state as the ground state. We also provide several details of the finite size scaling.
Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/c7c2cfe46b2fb60bdf0ee0eb756b3e29ff76e564
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In Artificial Intelligence
- Pasquale Calabrese
- J. Cardy
- T. Takayanagi
- R. Bonsignori
- Paola de Ruggiero
- Andrea De Luca
- Xiangyu Cao
- Antoine Tilloy
In Atomic and Molecular Physics, and Optics
- Pasquale Calabrese
- J. Cardy
- Andrea De Luca
- Xiangyu Cao
- Antoine Tilloy
- R. Bonsignori
- Paola de Ruggiero
- T. Takayanagi
In Geometry and Topology
Citations in the corpus
- Entanglement entropy and conformal field theory (2009, background): “Some excited states in spin chains also display logarithmic behaviour because they can be interpreted as ground states of properly defined conformal Hamiltonian [67].”
- Entanglement in a fermion chain under continuous monitoring (2018, background): “, λ`, where ` = x2−x1 + 1, the entanglement entropy (8) is given by [43,65,69]”
- Symmetry resolved entanglement in free fermionic systems (2019, methodology): “This technique has been used already in the context of entanglement in free lattice models to derive the leading term and the corrections to entanglement entropies [27,28,38–43].”
- Unusual corrections to scaling in entanglement entropy (2010, background): “[7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17], but this list is far from being exhaustive) for a large number of examples of quantum spin chains whose scaling limit is believed to be described by CFT.”