Exact solutions in the dynamics of alternating open chains of spins s=1/2 with the XY Hamiltonian and their application to problems of multiple-quantum dynamics and quantum information theory

被引：41

作者：

Kuznetsova, E. I. ^{[1
]}

Fel'dman, E. B. ^{[1
]}

机构：

[1] Russian Acad Sci, Inst Problems Chem Phys, Moscow 142432, Russia

来源：

JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS | 2006年 / 102卷 / 06期

基金：

俄罗斯基础研究基金会;

关键词：

D O I：

10.1134/S1063776106060021

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A method for exactly diagonalizing the XY Hamiltonian of an alternating open chain of spins s = 1/2 has been proposed on the basis of the Jordan-Wigner transformation and analysis of the dynamics of spinless fermions. The multiple-quantum spin dynamics of alternating open chains at high temperatures has been analyzed and the intensities of multiple-quantum coherences have been calculated. The problem of the transfer of a quantum state from one end of the alternating chain to the other is studied. It has been shown that the ideal transfer of qubits is possible in alternating chains with a larger number of spins than that in homogeneous chains.

引用

页码：882 / 893

页数：12

共 28 条

[1]

AGRAGAM A, 1961, PRINCIPLES NUCL MAGN

[2] MULTIPLE-QUANTUM DYNAMICS IN SOLID-STATE NMR [J].

BAUM, J ;

MUNOWITZ, M ;

GARROWAY, AN ;

PINES, A .

JOURNAL OF CHEMICAL PHYSICS, 1985, 83 (05) :2015-2025

[3] Quantum communication through an unmodulated spin chain [J].

Bose, S .

PHYSICAL REVIEW LETTERS, 2003, 91 (20)

[4] Non-ergodic quasi-equilibria in short linear spin 1/2 chains [J].

Bruschweiler, R ;

Ernst, RR .

CHEMICAL PHYSICS LETTERS, 1997, 264 (3-4) :393-397

[5] Perfect state transfer in quantum spin networks [J].

Christandl, M ;

Datta, N ;

Ekert, A ;

Landahl, AJ .

PHYSICAL REVIEW LETTERS, 2004, 92 (18) :187902-1

[6] Quantum dynamics under coherent and incoherent effects of a spin bath in the Keldysh formalism: application to a spin swapping operation [J].

Danieli, EP ;

Pastawski, HM ;

Alvarez, GA .

CHEMICAL PHYSICS LETTERS, 2005, 402 (1-3) :88-95

[7] Multiple-quantum NMR spin dynamics of inhomogeneous one-dimensional systems in solids [J].

Doronin, SI ;

Fel'dman, EB .

SOLID STATE NUCLEAR MAGNETIC RESONANCE, 2005, 28 (2-4) :111-116

[8] Supercomputer analysis of one-dimensional multiple-quantum dynamics of nuclear spins in solids [J].

Doronin, SI ;

Fel'dman, EB ;

Guinzbourg, IY ;

Maximov, II .

CHEMICAL PHYSICS LETTERS, 2001, 341 (1-2) :144-152

[9] Multiple-quantum dynamics of one-dimensional nuclear spin systems in solids [J].

Doronin, SI ;

Maksimov, II ;

Fel'dman, EB .

JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS, 2000, 91 (03) :597-609

[10]

Ernst R. R., 1987, PRINCIPLES NUCL MAGN

← 1 2 3 →