Scaling of entanglement close to a quantum phase transition

Nature
A OsterlohRosario Fazio

Abstract

Classical phase transitions occur when a physical system reaches a state below a critical temperature characterized by macroscopic order. Quantum phase transitions occur at absolute zero; they are induced by the change of an external parameter or coupling constant, and are driven by quantum fluctuations. Examples include transitions in quantum Hall systems, localization in Si-MOSFETs (metal oxide silicon field-effect transistors; ref. 4) and the superconductor-insulator transition in two-dimensional systems. Both classical and quantum critical points are governed by a diverging correlation length, although quantum systems possess additional correlations that do not have a classical counterpart. This phenomenon, known as entanglement, is the resource that enables quantum computation and communication. The role of entanglement at a phase transition is not captured by statistical mechanics-a complete classification of the critical many-body state requires the introduction of concepts from quantum information theory. Here we connect the theory of critical phenomena with quantum information by exploring the entangling resources of a system close to its quantum critical point. We demonstrate, for a class of one-dimensional magnetic s...Continue Reading

References

Apr 1, 1996·Physical Review. a·C H BennettB Schumacher
Nov 1, 1996·Physical Review. a·C H BennettW K Wootters
Sep 15, 1994·Physical Review. B, Condensed Matter·S V KravchenkoM D'Iorio
May 1, 1989·Physical Review Letters·D B HavilandA M Goldman
Nov 16, 1992·Physical Review Letters· van der Zant HSJ E Mooij
Apr 30, 1999·Science·J BrookeG Aeppli
Jul 20, 2001·Physical Review Letters·M C ArnesenV Vedral

❮ Previous
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Citations

May 3, 2012·Nature Communications·Jian CuiVlatko Vedral
Jun 18, 2009·The Journal of Chemical Physics·Christine A Schwerdtfeger, David A Mazziotti
Apr 22, 2006·The Journal of Chemical Physics·Zhen HuangSabre Kais
Apr 5, 2011·The Journal of Chemical Physics·Qi WeiDudley Herschbach
May 14, 2014·Nature Communications·Iman Marvian, Robert W Spekkens
Jan 20, 2016·Scientific Reports·Yong-Bo WeiBin Shao
Mar 29, 2014·Scientific Reports·Chuan-Jia ShanTang-Kun Liu
May 18, 2016·Scientific Reports·Meng QinXin Zhang
May 20, 2016·Scientific Reports·Yan-Chao Li, Hai-Qing Lin
Jul 28, 2016·Scientific Reports·M SanzE Solano
Oct 8, 2016·Scientific Reports·Yu-Chen LinWei-Min Zhang
Nov 9, 2016·Proceedings of the National Academy of Sciences of the United States of America·Ramis Movassagh, Peter W Shor
Jan 6, 2018·Physical Review Letters·Luca PezzèAugusto Smerzi
Dec 30, 2017·Physical Review Letters·Lev Vidmar, Marcos Rigol
Aug 22, 2017·Reports on Progress in Physics·Anindita BeraUjjwal Sen
Jul 13, 2004·Physical Review Letters·Andrew N Jordan, Markus Büttiker
Apr 20, 2018·Reports on Progress in Physics·Gabriele De Chiara, Anna Sanpera
Sep 28, 2004·Physical Review Letters·Shi-Jian GuHai-Qing Lin
Feb 9, 2005·Physical Review Letters·G C Levine
Feb 9, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Michael HartmannOrtwin Hess
Mar 24, 2005·Physical Review Letters·W DürH-J Briegel
Jun 11, 2008·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Wen-Qiang NingHai-Qing Lin
Jun 20, 2008·Nature·Vlatko Vedral
Dec 2, 2009·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Jiming Gao, Jiaxiang Wang
Sep 5, 2003·Nature·S GhoshS N Coppersmith
Mar 13, 2019·Journal of Physics. Condensed Matter : an Institute of Physics Journal·X M YangZ Song
Dec 31, 2005·Physical Review Letters·Daniel Larsson, Henrik Johannesson
Mar 21, 2008·Physical Review Letters·Michael M WolfJ Ignacio Cirac
Mar 21, 2008·Physical Review Letters·Jingfu ZhangDieter Suter
Mar 21, 2008·Physical Review Letters·Alessandro FerraroAntonio Acín
Mar 21, 2008·Physical Review Letters·Huan-Qiang ZhouGuifre Vidal
Jul 23, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Tathiana MoreiraA F R de Toledo Piza
Oct 15, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Filippo Caruso, Constantino Tsallis
Apr 28, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·H T Quan, F M Cucchietti
Nov 13, 2009·Physical Review Letters·Xinhua PengDieter Suter
Apr 30, 2010·Nature·Kristian BaumannTilman Esslinger
Jul 7, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Charles P MeaneyG J Milburn
Jul 30, 2011·Physical Review Letters·Jingfu ZhangRaymond Laflamme
Feb 4, 2014·Physical Review Letters·C R McDonaldT Brabec

❮ Previous
Next ❯

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