Journal article
Entanglement at the quantum phase transition in a harmonic lattice
- Abstract:
- The entanglement properties of phase transition in a twodimensional harmonic lattice, similar to the one observed in recent ion trap experiments, are discussed for both finite number of particles and thermodynamical limit. We show that for the ground state at the critical value of the trapping potential, two entanglement measures, the negativity between two neighbouring sites and the block entropy for blocks of size 1, 2 and 3, change abruptly. Entanglement thus indicates quantum phase transitions in general, not only in the finite-dimensional case considered inWu et al (2004 Phys. Rev. Lett. 93 250404). Finally, we consider the thermal state and compare its exact entanglement with a temperature entanglement witness introduced in Anders (2008 Phys. Rev. A 77 062102). © IOP Publishing Ltd. and Deutsche Physikalische Gesellschaft.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 1.6MB, Terms of use)
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- Publisher copy:
- 10.1088/1367-2630/12/2/025017
Authors
+ Engineering and Physical Sciences Research Council
More from this funder
- Funding agency for:
- Vedral, V
- Publisher:
- IOP Publishing
- Journal:
- New Journal of Physics More from this journal
- Volume:
- 12
- Issue:
- 2
- Article number:
- 025017
- Publication date:
- 2010-02-01
- DOI:
- EISSN:
-
1367-2630
- ISSN:
-
1367-2630
- Language:
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English
- UUID:
-
uuid:6b47c585-9207-4329-be4a-97d220d9ef66
- Local pid:
-
pubs:158766
- Source identifiers:
-
158766
- Deposit date:
-
2012-12-19
Terms of use
- Copyright holder:
- IOP Publishing Ltd and Deutsche Physikalische Gesellschaft
- Copyright date:
- 2010
- Notes:
- Copyright IOP Publishing Ltd and Deutsche Physikalische Gesellschaft. Authors, their institutions and third parties all have the same rights to reuse articles published in New Journal of Physics in accordance with the Creative Commons Attribution 3.0 Unported (CC-BY) license. This allows the articles to be shared, adapted and made commercial use of subject to appropriate attribution.
- Licence:
- CC Attribution (CC BY)
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