System Size Dependence of Entanglement in Quantum One-Dimensional Models

被引：0

作者：

Jakubczyk, D. ^{[1
]}

Jakubczyk, P. ^{[2
]}

机构：

[1] Rzeszow Univ Technol, Al Powstancow Warszawy 12, PL-35959 Rzeszow, Poland

[2] Univ Rzeszow, T Rejtana 16A, PL-35959 Rzeszow, Poland

来源：

ACTA PHYSICA POLONICA A | 2017年 / 132卷 / 01期

关键词：

STATES; DYNAMICS;

D O I：

10.12693/APhysPolA.132.158

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We show that entanglement in one-dimensional spin and electron systems, with one excitation, depends only on the system size and has very simple form in both multipartite and bipartite case. Regarding the multipartite case, we present very simple expressions for global entanglement and N-concurrence, and show that they are mutually related. In the bipartite case, we give expressions for I-concurrence and negativity, and show that they are also dependent on each other.

引用

页码：158 / 160

页数：3

共 19 条

[1] Metal theory [J].

Bethe, H. .

ZEITSCHRIFT FUR PHYSIK, 1931, 71 (3-4) :205-226

[2]

Brennen GK, 2003, QUANTUM INF COMPUT, V3, P619

[3] Persistent entanglement in arrays of interacting particles [J].

Briegel, HJ ;

Raussendorf, R .

PHYSICAL REVIEW LETTERS, 2001, 86 (05) :910-913

[4] Decoherence and multipartite entanglement [J].

Carvalho, ARR ;

Mintert, F ;

Buchleitner, A .

PHYSICAL REVIEW LETTERS, 2004, 93 (23)

[5] Experimental detection of quantum information sharing and its quantification in quantum spin systems [J].

Das, Diptaranjan ;

Singh, Harkirat ;

Chakraborty, Tanmoy ;

Gopal, Radha Krishna ;

Mitra, Chiranjib .

NEW JOURNAL OF PHYSICS, 2013, 15

[6] Three qubits can be entangled in two inequivalent ways [J].

Dur, W. ;

Vidal, G. ;

Cirac, J.I. .

Physical Review A - Atomic, Molecular, and Optical Physics, 2000, 62 (06) :062314-062311

[7] Microscopic observation of magnon bound states and their dynamics [J].

Fukuhara, Takeshi ;

Schauss, Peter ;

Endres, Manuel ;

Hild, Sebastian ;

Cheneau, Marc ;

Bloch, Immanuel ;

Gross, Christian .

NATURE, 2013, 502 (7469) :76-+

[8] Observation of Complex Bound States in the Spin-1/2 Heisenberg XXZ Chain Using Local Quantum Quenches [J].

Ganahl, Martin ;

Rabel, Elias ;

Essler, Fabian H. L. ;

Evertz, H. G. .

PHYSICAL REVIEW LETTERS, 2012, 108 (07)

[9] Scalable multiparticle entanglement of trapped ions [J].

Häffner, H ;

Hänsel, W ;

Roos, CF ;

Benhelm, J ;

Chek-al-kar, D ;

Chwalla, M ;

Körber, T ;

Rapol, UD ;

Riebe, M ;

Schmidt, PO ;

Becher, C ;

Gühne, O ;

Dür, W ;

Blatt, R .

NATURE, 2005, 438 (7068) :643-646

[10] Quasiparticle engineering and entanglement propagation in a quantum many-body system [J].

Jurcevic, P. ;

Lanyon, B. P. ;

Hauke, P. ;

Hempel, C. ;

Zoller, P. ;

Blatt, R. ;

Roos, C. F. .

NATURE, 2014, 511 (7508) :202-+

← 1 2 →