Quantitative conditions do not guarantee the validity of the adiabatic approximation

被引：122

作者：

Tong, DM ^{[1
]}

Singh, K

Kwek, LC

Oh, CH

机构：

[1] Shandong Normal Univ, Dept Phys, Jinan 250014, Peoples R China

[2] Natl Univ Singapore, Dept Phys, Singapore 119260, Singapore

[3] Nanyang Technol Univ, Natl Inst Educ, Singapore 639798, Singapore

来源：

PHYSICAL REVIEW LETTERS | 2005年 / 95卷 / 11期

关键词：

D O I：

10.1103/PhysRevLett.95.110407

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this Letter, we point out that the widely used quantitative conditions in the adiabatic theorem are insufficient in that they do not guarantee the validity of the adiabatic approximation. We also reexamine the inconsistency issue raised by Marzlin and Sanders [Phys. Rev. Lett. 93, 160408 (2004)] and elucidate the underlying cause.

引用

页数：4

共 22 条

[1]

AMBAINIS A, QUANTPH0411152

[2] Adiabatic theorem without a gap condition [J].

Avron, JE ;

Elgart, A .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1999, 203 (02) :445-463

[3] QUANTAL PHASE-FACTORS ACCOMPANYING ADIABATIC CHANGES [J].

BERRY, MV .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1984, 392 (1802) :45-57

[4] Proof of Adiabatic law [J].

Born, M. ;

Fock, V. .

ZEITSCHRIFT FUR PHYSIK, 1928, 51 (3-4) :165-180

[5]

de Polavieja GG, 1998, AM J PHYS, V66, P431, DOI 10.1119/1.18799

[6]

Ehrenfest P, 1916, ANN PHYS-BERLIN, V51, P327

[7] A quantum adiabatic evolution algorithm applied to random instances of an NP-complete problem [J].

Farhi, E ;

Goldstone, J ;

Gutmann, S ;

Lapan, J ;

Lundgren, A ;

Preda, D .

SCIENCE, 2001, 292 (5516) :472-476

[8] BOUND STATES IN QUANTUM FIELD THEORY [J].

GELLMANN, M ;

LOW, F .

PHYSICAL REVIEW, 1951, 84 (02) :350-354

[9] ON THE ADIABATIC THEOREM OF QUANTUM MECHANICS [J].

KATO, T .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1950, 5 (06) :435-439

[10]

Landau L., 1932, ZEITSCHRIFT, V2, P46

← 1 2 3 →