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| related topics |
| {energy, state, states} |
| {entanglement, phys, rev} |
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| {equation, function, exp} |
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Half the entanglement in critical systems is distillable from a single
specimen
R. Orus, J. I. Latorre, J. Eisert, M. Cramer
abstract: We establish that the leading critical scaling of the single-copy
entanglement is exactly one half of the entropy of entanglement of a block in
critical infinite spin chains in a general setting, using methods of conformal
field theory. Conformal symmetry imposes that the single-copy entanglement for
critical many-body systems scales as E_1(\rho_L)=(c/6) \log L- (c/6)
(\pi^2/\log L) + O(1/L), where L is the number of constituents in a block of an
infinite chain and c corresponds to the central charge. This proves that from a
single specimen of a critical chain, already half the entanglement can be
distilled compared to the rate that is asymptotically available. The result is
substantiated by a quantitative analysis for all translationally invariant
quantum spin chains corresponding to general isotropic quasi-free fermionic
models. An analytic example of the XY model shows that away from criticality
the above simple relation is only maintained near the quantum phase transition
point.
- oai_identifier:
- oai:arXiv.org:quant-ph/0509023
- categories:
- quant-ph cond-mat.stat-mech math-ph math.MP
- comments:
- 4 pages RevTeX, 1 figure, final version
- doi:
- 10.1103/PhysRevA.73.060303
- arxiv_id:
- quant-ph/0509023
- journal_ref:
- Phys. Rev. A 73, 060303(R) (2006)
- created:
- 2005-09-02
- updated:
- 2006-07-15
Full article ▸
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