Preparing fractional quantum Hall state in a lattice by Lyapunov control

被引：1
作者：
Zhang, Da Wei [1 ,2 ,3 ]
Qin, Ming [1 ,2 ]
Yi, X. X. [4 ]
机构：
[1] Northeast Normal Univ, Ctr Quantum Sci, Changchun 130024, Jilin, Peoples R China
[2] Northeast Normal Univ, Sch Phys, Changchun 130024, Jilin, Peoples R China
[3] Yingkou Inst Technol, Yingkou 115000, Liaoning, Peoples R China
[4] Northeast Normal Univ, Ctr Adv Optoelect Funct Mat Res, Minist Educ, Key Lab UV Light Emitting Mat & Technol, Changchun 130024, Jilin, Peoples R China
来源：
MODERN PHYSICS LETTERS B | 2018年 / 32卷 / 07期
基金：
中国国家自然科学基金;
关键词：
FQH state; Lyapunov control; optical lattice; COMPUTATION; ANYONS; ATOMS;
D O I：
10.1142/S0217984918500999
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
By Lyapunov control, a scheme to prepare fractional quantum Hall (FQH) states of atoms which are confined in a lattice is proposed. We can realize a steady state from two types of initial states and the fidelity of state transfer can reach a high value. It is robust against uncertainties in control fields. The proposal can be extended to n x n square lattice with more atoms, which provides us a feasible course to prepare strongly correlated quantum state for many-body systems.
引用
收藏
页数：10
相关论文
共 22 条
  • [1] Dentsch I. H., 1998, PHYS REV A, V57, P1972
  • [2] Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
    Greiner, M
    Mandel, O
    Esslinger, T
    Hänsch, TW
    Bloch, I
    [J]. NATURE, 2002, 415 (6867) : 39 - 44
  • [3] Direct observation of atomic localization in optical superlattices
    Guidoni, L
    Verkerk, P
    [J]. PHYSICAL REVIEW A, 1998, 57 (03): : R1501 - R1504
  • [4] Fractional quantum Hall effect in optical lattices
    Hafezi, M.
    Sorensen, A. S.
    Demler, E.
    Lukin, M. D.
    [J]. PHYSICAL REVIEW A, 2007, 76 (02):
  • [5] Strongly interacting photons in a nonlinear cavity
    Imamoglu, A
    Schmidt, H
    Woods, G
    Deutsch, M
    [J]. PHYSICAL REVIEW LETTERS, 1997, 79 (08) : 1467 - 1470
  • [6] Cold bosonic atoms in optical lattices
    Jaksch, D
    Bruder, C
    Cirac, JI
    Gardiner, CW
    Zoller, P
    [J]. PHYSICAL REVIEW LETTERS, 1998, 81 (15) : 3108 - 3111
  • [7] Fault-tolerant quantum computation by anyons
    Kitaev, AY
    [J]. ANNALS OF PHYSICS, 2003, 303 (01) : 2 - 30
  • [8] Lyapunov control methods of closed quantum systems
    Kuang, Sen
    Cong, Shuang
    [J]. AUTOMATICA, 2008, 44 (01) : 98 - 108
  • [9] ANOMALOUS QUANTUM HALL-EFFECT - AN INCOMPRESSIBLE QUANTUM FLUID WITH FRACTIONALLY CHARGED EXCITATIONS
    LAUGHLIN, RB
    [J]. PHYSICAL REVIEW LETTERS, 1983, 50 (18) : 1395 - 1398
  • [10] Non-Abelian anyons and topological quantum computation
    Nayak, Chetan
    Simon, Steven H.
    Stern, Ady
    Freedman, Michael
    Das Sarma, Sankar
    [J]. REVIEWS OF MODERN PHYSICS, 2008, 80 (03) : 1083 - 1159
123