Exponential decay in a spin bath

被引：68

作者：

Coish, W. A. ^{[1
,2
,3
]}

Fischer, Jan ^{[3
]}

Loss, Daniel ^{[3
]}

机构：

[1] Univ Waterloo, Inst Quantum Comp, Waterloo, ON N2L 3G1, Canada

[2] Univ Waterloo, Dept Phys & Astron, Waterloo, ON N2L 3G1, Canada

[3] Univ Basel, Dept Phys, CH-4056 Basel, Switzerland

来源：

PHYSICAL REVIEW B | 2008年 / 77卷 / 12期

关键词：

D O I：

10.1103/PhysRevB.77.125329

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We show that the coherence of an electron spin interacting with a bath of nuclear spins can exhibit a well-defined purely exponential decay for special ("narrowed") bath initial conditions in the presence of a strong applied magnetic field. This is in contrast to the typical case, where spin-bath dynamics have been investigated in the non-Markovian limit, giving superexponential or power-law decay of correlation functions. We calculate the relevant decoherence time T-2 explicitly for free-induction decay and find a simple expression with dependence on bath polarization, magnetic field, shape of the electron wave function, dimensionality, total nuclear spin I, and isotopic concentration for experimentally relevant heteronuclear-spin systems.

引用

页数：8

共 43 条

[1] Electron-spin phase relaxation of phosphorus donors in nuclear-spin-enriched silicon [J].

Abe, E ;

Itoh, KM ;

Isoya, J ;

Yamasaki, S .

PHYSICAL REVIEW B, 2004, 70 (03) :033204-1

[2]

Abragam A., 1962, PRINCIPLES NUCL MAGN

[3] Numerical modeling of the central spin problem using the spin-coherent-state P representation [J].

Al-Hassanieh, K. A. ;

Dobrovitski, V. V. ;

Dagotto, E. ;

Harmon, B. N. .

PHYSICAL REVIEW LETTERS, 2006, 97 (03)

[4] Will spin-relaxation times in molecular magnets permit quantum information processing? [J].

Ardavan, Arzhang ;

Rival, Olivier ;

Morton, John J. L. ;

Blundell, Stephen J. ;

Tyryshkin, Alexei M. ;

Timco, Grigore A. ;

Winpenny, Richard E. P. .

PHYSICAL REVIEW LETTERS, 2007, 98 (05)

[5] Non-Markovian dynamics in a spin star system: Exact solution and approximation techniques [J].

Breuer, HP ;

Burgarth, D ;

Petruccione, F .

PHYSICAL REVIEW B, 2004, 70 (04) :045323-1

[6] Semiclassical dynamics and long-time asymptotics of the central-spin problem in a quantum dot [J].

Chen, Gang ;

Bergman, Doron L. ;

Balents, Leon .

PHYSICAL REVIEW B, 2007, 76 (04)

[7] Coherent dynamics of coupled electron and nuclear spin qubits in diamond [J].

Childress, L. ;

Dutt, M. V. Gurudev ;

Taylor, J. M. ;

Zibrov, A. S. ;

Jelezko, F. ;

Wrachtrup, J. ;

Hemmer, P. R. ;

Lukin, M. D. .

SCIENCE, 2006, 314 (5797) :281-285

[8] Hyperfine interaction in a quantum dot: Non-Markovian electron spin dynamics [J].

Coish, WA ;

Loss, D .

PHYSICAL REVIEW B, 2004, 70 (19) :1-21

[9]

COISH WA, UNPUB, P35209

[10]

COSIH WA, 2004, PHYS REV B, V70, P5209

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