CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES |
Prev
Next
|
|
|
Robustness of coherence between two quantum dots mediated by Majorana fermions |
Liang Chen(陈亮), Ye-Qi Zhang(张业奇), Rong-Sheng Han(韩榕生) |
Mathematics and Physics Department, North China Electric Power University, Beijing 102206, China |
|
|
Abstract We study three important measurements used to identify the quantum correlations between two quantum dots (QDs) mediated by a pair of Majorana fermions (MFs) in a superconducting quantum wire. We find that, in addition to the quantum discord, the robustness of coherence (ROC) can also be considered as a quantity to measure the quantum correlation for the special case where the quantum entanglement is vanishing. For comparison, we study the quantum correlation between two QDs mediated by other fermions, i.e., regular fermions and superconducting fermions. We find that, when the quantum entanglement is not vanishing, i.e., the concurrence is finite, the detailed difference between the concurrence and ROC can be considered as an important implication for the existence of MFs.
|
Received: 05 December 2017
Revised: 14 April 2018
Accepted manuscript online:
|
PACS:
|
71.10.Pm
|
(Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.))
|
|
74.90.+n
|
(Other topics in superconductivity)
|
|
03.67.-a
|
(Quantum information)
|
|
03.65.Ud
|
(Entanglement and quantum nonlocality)
|
|
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11504106, 11247308, and 11447167) and the Fundamental Research Funds for the Central Universities of China (Grant Nos. 2018MS049 and 2018MS057). |
Corresponding Authors:
Liang Chen
E-mail: slchern@ncepu.edu.cn
|
Cite this article:
Liang Chen(陈亮), Ye-Qi Zhang(张业奇), Rong-Sheng Han(韩榕生) Robustness of coherence between two quantum dots mediated by Majorana fermions 2018 Chin. Phys. B 27 077102
|
[1] |
Majorana E 1937 Nuovo Cim 14 171
|
[2] |
Kitaev A Y 2001 Physics-Uspekhi 44 131
|
[3] |
Nayak C, Simon S H, Stern A, Freedman M and Das Sarma S 2008 Rev. Mod. Phys. 80 1083
|
[4] |
Sau J D, Lutchyn R M, Tewari S and Das Sarma S 2010 Phys. Rev. Lett. 104 040502
|
[5] |
Read N and Green D 2000 Phys. Rev. B 61 10267
|
[6] |
Ivanov D A 2001 Phys. Rev. Lett. 86 268
|
[7] |
Das Sarma S, Nayak C and Tewari S 2006 Phys. Rev. B 73 220502
|
[8] |
Gurarie V and Radzihovsky L 2007 Phys. Rev. B 75 212509
|
[9] |
Tewari S, Zhang C, Das Sarma S, Nayak C and Lee D H 2008 Phys. Rev. Lett. 100 027001
|
[10] |
Fu L and Kane C L 2008 Phys. Rev. Lett. 100 096407
|
[11] |
Mourik V, Zuo K, Frolov S M, Plissard S R, Bakkers E P A M and Kouwenhoven L P 2012 Science 336 1003
|
[12] |
Rokhinson L P, Liu X and Furdyna J K 2012 Nat. Phys. 8 795
|
[13] |
Das A, Ronen Y, Most Y, Oreg Y, Heiblum M and Shtrikman H 2012 Nat. Phys. 8 887
|
[14] |
Deng M T, Yu C L, Huang G Y, Larsson M, Caroff P and Xu H Q 2012 Nano Lett. 12 6414
|
[15] |
Lutchyn R M, Sau J D and Das Sarma S 2010 Phys. Rev. Lett. 105 077001
|
[16] |
Oreg Y, Refael G and von Oppen F 2010 Phys. Rev. Lett. 105 177002
|
[17] |
Quay C H L, Hughes T L, Sulpizio J A, Pfeiffer L N, Baldwin K W, West K W, Goldhaber-Gordon D and de Picciotto R 2010 Nat. Phys. 6 336
|
[18] |
Horodecki R, Horodecki P, Horodecki M and Horodecki K 2009 Rev. Mod. Phys. 81 865
|
[19] |
Nielsen M A and Chuang I L 2010 Quantum Computation and Quantum Information (10th anniversary Edn.) (Cambridge:Cambridge University Press) pp.~571——581
|
[20] |
Wang Z, Hu X Y, Liang Q F and Hu X 2013 Phys. Rev. B 87 214513
|
[21] |
Wang P, Cao Y, Gong M, Xiong G and Li X Q 2013 Europhys. Lett. 103 57016
|
[22] |
Li J, Yu T, Lin H Q and You J Q 2014 Sci. Rep. 4 4930
|
[23] |
Shang E M, Pan Y M, Shao L B and Wang B G 2014 Chin. Phys. B 23 057201
|
[24] |
Shi Z C, Wang W and Yi X X 2016 New J. Phys. 18 023005
|
[25] |
Xiong Y 2016 Chin. Phys. Lett. 33 057402
|
[26] |
Wu B H, Cheng X, Wang C R and Gong W J 2014 Chin. Phys. Lett. 31 037306
|
[27] |
Zhou Y and Guo J H 2015 Acta Phys. Sin. 64 167302 (in Chinese)
|
[28] |
Zhang D P and Tian G S 2015 Chin. Phys. B 24 080401
|
[29] |
Deng M X, Zheng S H, Yang M, Hu L B and Wang R Q 2015 Chin. Phys. B 24 037302
|
[30] |
Wu B H, Feng X Y, Wang C, Xu X F and Wang C R 2016 Chin. Phys. Lett. 33 017401
|
[31] |
Shao L B, Wang Z D, Shen R, Sheng L, Wang B G and Xing D Y 2017 Chin. Phys. Lett. 34 067401
|
[32] |
Baumgratz T, Cramer M and Plenio M B 2014 Phys. Rev. Lett. 113 140401
|
[33] |
Napoli C, Bromley T R, Cianciaruso M, Piani M, Johnston N and Adesso G 2016 Phys. Rev. Lett. 116 150502
|
[34] |
Piani M, Cianciaruso M, Bromley T R, Napoli C, Johnston N and Adesso G 2016 Phys. Rev. A 93 042107
|
[35] |
Bolech C J and Demler E 2007 Phys. Rev. Lett. 98 237002
|
[36] |
Sun H B and Milburn G J 1999 Phys. Rev. B 59 10748
|
[37] |
Vandenberghe L and Boyd S 1996 SIAM Review 38 49
|
[38] |
MATLAB Release 2016a (The MathWorks, Inc., Natick, MA, United States).
|
[39] |
Grant M and Boyd S 2014 CVX:MATLAB Software for Disciplined Convex Programming, Version 2.1, http://cvxr.com/cvx.
|
[40] |
Wootters W K 1998 Phys. Rev. Lett. 80 2245
|
[41] |
Rungta P, Bužek V, Caves C M, Hillery M and Milburn G J 2001 Phys. Rev. A 64 042315
|
[42] |
Henderson L and Vedral L 2001 J. Phys. A:Math. Gen. 34 6899
|
[43] |
Ollivier H and Zurek W H 2001 Phys. Rev. Lett. 88 017901
|
No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|