Simulating the Landau-Zener transitions and Landau-Zener-Stuckelberg interferometers with compacted optical waveguides: An invariant method

被引：8

作者：

Liu, Hongying ^{[1
]}

Dai, Maochun ^{[1
]}

Wei, L. F. ^{[1
,2
]}

机构：

[1] Southwest Jiaotong Univ, Sch Informat Sci & Technol, Informat Quantum Technol Lab, Chengdu 610031, Sichuan, Peoples R China

[2] Donghua Univ, Inst Funct Mat, Coll Sci, Photon Lab, Shanghai 201620, Peoples R China

来源：

PHYSICAL REVIEW A | 2019年 / 99卷 / 01期

基金：

中国国家自然科学基金;

关键词：

DYNAMICS; PARTICLE;

D O I：

10.1103/PhysRevA.99.013820

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Experimental demonstrations of coherent dynamics for the driven quantum system are usually limited by their shorter coherent times (due to the inevitable environment noises). Given the Maxwell equation for the electromagnetic waves (EMWs) prorogating in the optical waveguides takes the similar form of the Schrodinger equation for the driven quantum system, the quantum dynamics in time domain can be simulated by the light propagating along the waveguide in spatial domain. To simulate the fast time evolutions of quantum states during the Landau-Zener (LZ) transitions and Landau-Zenner-Stuckelberg (LZS) interferences for the periodically driven two-level systems, we develop an invariant method to design the compacted curved wavguides and demonstrate the LZ transitions and LZS interferometery in the spatial domain. Due to significantly long coherent lengths of the EMWs propagating along the waveguides, the proposed optical-quantum analogies should be feasible with the current integrated optical devices.

引用

页数：9

共 33 条

[1] Two-level systems driven by large-amplitude fields [J].

Ashhab, S. ;

Johansson, J. R. ;

Zagoskin, A. M. ;

Nori, Franco .

PHYSICAL REVIEW A, 2007, 75 (06)

[2] Fast and Robust Spin Manipulation in a Quantum Dot by Electric Fields [J].

Ban, Yue ;

Chen, Xi ;

Ya Sherman, E. ;

Muga, J. G. .

PHYSICAL REVIEW LETTERS, 2012, 109 (20)

[3] Lewis-Riesenfeld invariants and transitionless quantum driving [J].

Chen, Xi ;

Torrontegui, E. ;

Muga, J. G. .

PHYSICAL REVIEW A, 2011, 83 (06)

[4] Visualization of coherent destruction of tunneling in an optical double well system [J].

Della Valle, G. ;

Ornigotti, M. ;

Cianci, E. ;

Foglietti, V. ;

Laporta, P. ;

Longhi, S. .

PHYSICAL REVIEW LETTERS, 2007, 98 (26)

[5] Direct observation of Landau-Zener tunneling in a curved optical waveguide coupler [J].

Dreisow, F. ;

Szameit, A. ;

Heinrich, M. ;

Nolte, S. ;

Tuennermann, A. ;

Ornigotti, M. ;

Longhi, S. .

PHYSICAL REVIEW A, 2009, 79 (05)

[6] Nonadiabatic Landau-Zener tunneling in waveguide arrays with a step in the refractive index [J].

Khomeriki, R ;

Ruffo, S .

PHYSICAL REVIEW LETTERS, 2005, 94 (11)

[7]

Landau L. D., 1932, PHYS Z SOWJETUNION, V2, P46, DOI DOI 10.1098/RSPA.1932.0165

[8] AN EXACT QUANTUM THEORY OF TIME-DEPENDENT HARMONIC OSCILLATOR AND OF A CHARGED PARTICLE IN A TIME-DEPENDENT ELECTROMAGNETIC FIELD [J].

LEWIS, HR ;

RIESENFELD, WB .

JOURNAL OF MATHEMATICAL PHYSICS, 1969, 10 (08) :1458-+

[9] Simulative Implementations of Fast Single-Qubit Quantum Logic Operations With Waveguides Based on Invariant Engineering [J].

Liu, Hongying ;

Wei, Lian-Fu .

JOURNAL OF LIGHTWAVE TECHNOLOGY, 2017, 35 (02) :166-172

[10] Coherent tunneling by adiabatic passage in an optical waveguide system [J].

Longhi, S. ;

Della Valle, G. ;

Ornigotti, M. ;

Laporta, P. .

PHYSICAL REVIEW B, 2007, 76 (20)

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