Effects of external magnetic field on thermal entanglement in a spin-one chain with three particles

被引：1

作者：

Jami, S. ^{[1
]}

Amerian, Z. ^{[1
]}

Ahmadi, F. ^{[2
]}

Motevalizadeh, L. ^{[1
]}

机构：

[1] Islamic Azad Univ, Mashhad Branch, Dept Phys, Mashhad, Iran

[2] Shahid Rajaee Teacher Training Univ, Dept Phys, Tehran, Iran

来源：

INDIAN JOURNAL OF PHYSICS | 2013年 / 87卷 / 04期

关键词：

Thermal entanglement; Spin chain; Negativity; Magnetic field; QUANTUM CRYPTOGRAPHY; CHANNELS;

D O I：

10.1007/s12648-012-0224-x

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper we have investigated the effect of temperature, magnetic field, and exchange coupling on the thermal entanglement in a spin chain with three particles in terms of the measure of entanglement called negativity. The results show that the entanglement decreases with increase in temperature. Also, we have found that under a uniform magnetic field in constant temperature, the entanglement decreases while passing through some maxima. We have found that increasing exchange coupling of any two particles decreases the entanglement of the other two particles. Finally, we have compared our system with a two-particle system and found that in presence of a magnetic field the increase in number of particles leads to the increase in the entanglement.

引用

页码：367 / 372

页数：6

共 9 条

[1] Natural thermal and magnetic entanglement in the 1D Heisenberg model [J].

Arnesen, MC ;

Bose, S ;

Vedral, V .

PHYSICAL REVIEW LETTERS, 2001, 87 (01)

[2] COMMUNICATION VIA ONE-PARTICLE AND 2-PARTICLE OPERATORS ON EINSTEIN-PODOLSKY-ROSEN STATES [J].

BENNETT, CH ;

WIESNER, SJ .

PHYSICAL REVIEW LETTERS, 1992, 69 (20) :2881-2884

[3] TELEPORTING AN UNKNOWN QUANTUM STATE VIA DUAL CLASSICAL AND EINSTEIN-PODOLSKY-ROSEN CHANNELS [J].

BENNETT, CH ;

BRASSARD, G ;

CREPEAU, C ;

JOZSA, R ;

PERES, A ;

WOOTTERS, WK .

PHYSICAL REVIEW LETTERS, 1993, 70 (13) :1895-1899

[4] Entangled three-particle states in magnetic field: periodic correlations and density matrices [J].

Chakrabarti, A. ;

Chakraborti, A. .

INDIAN JOURNAL OF PHYSICS, 2012, 86 (09) :791-800

[5] Quantum privacy amplification and the security of quantum cryptography over noisy channels [J].

Deutsch, D ;

Ekert, A ;

Jozsa, R ;

Macchiavello, C ;

Popescu, S ;

Sanpera, A .

PHYSICAL REVIEW LETTERS, 1996, 77 (13) :2818-2821

[6] QUANTUM CRYPTOGRAPHY BASED ON BELL THEOREM [J].

EKERT, AK .

PHYSICAL REVIEW LETTERS, 1991, 67 (06) :661-663

[7] Quantum mechanics helps in searching for a needle in a haystack [J].

Grover, LK .

PHYSICAL REVIEW LETTERS, 1997, 79 (02) :325-328

[8]

Shor PW, 1997, SIAM J COMPUT, V26, P1484, DOI [10.1137/S0097539795293172, 10.1137/S0036144598347011]

[9] Computable measure of entanglement [J].

Vidal, G ;

Werner, RF .

PHYSICAL REVIEW A, 2002, 65 (03) :1-11

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