Integrable Time-Dependent Quantum Hamiltonians

被引：44

作者：

Sinitsyn, Nikolai A. ^{[1
]}

Yuzbashyan, Emil A. ^{[2
]}

Chernyak, Vladimir Y. ^{[3
,4
]}

Patra, Aniket ^{[1
,2
]}

Sun, Chen ^{[1
,5
]}

机构：

[1] Los Alamos Natl Lab, Theoret Div, Los Alamos, NM 87545 USA

[2] Rutgers State Univ, Ctr Mat Theory, Dept Phys & Astron, Piscataway, NJ 08854 USA

[3] Wayne State Univ, Dept Chem, 5101 Cass Ave, Detroit, MI 48202 USA

[4] Wayne State Univ, Dept Math, 5101 Cass Ave, Detroit, MI 48202 USA

[5] Texas A&M Univ, Dept Phys, College Stn, TX 77840 USA

来源：

PHYSICAL REVIEW LETTERS | 2018年 / 120卷 / 19期

基金：

美国国家科学基金会;

关键词：

RELAXATION; MODEL;

D O I：

10.1103/PhysRevLett.120.190402

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We formulate a set of conditions under which the nonstationary Schrodinger equation with a time-dependent Hamiltonian is exactly solvable analytically. The main requirement is the existence of a non-Abel ian gauge field with zero curvature in the space of system parameters. Known solvable multistate Landau-Zener models satisfy these conditions. Our method provides a strategy to incorporate time dependence into various quantum integrable models while maintaining their integrability. We also validate some prior conjectures, including the solution of the driven generalized Tavis-Cummings model.

引用

页数：7

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