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
  • [11] Patterned loading of a Bose-Einstein condensate into an optical lattice
    Peil, S
    Porto, JV
    Tolra, BL
    Obrecht, JM
    King, BE
    Subbotin, M
    Rolston, SL
    Phillips, WD
    [J]. PHYSICAL REVIEW A, 2003, 67 (05): : 4
  • [12] New light on quantum transport
    Raizen, M
    Salomon, C
    Niu, Q
    [J]. PHYSICS TODAY, 1997, 50 (07) : 30 - 34
  • [13] Quasiholes and fermionic zero modes of paired fractional quantum Hall states: The mechanism for non-Abelian statistics
    Read, N
    Rezayi, E
    [J]. PHYSICAL REVIEW B, 1996, 54 (23): : 16864 - 16887
  • [14] Observation of resonance condensation of fermionic atom pairs
    Regal, CA
    Greiner, M
    Jin, DS
    [J]. PHYSICAL REVIEW LETTERS, 2004, 92 (04) : 4
  • [15] Robust state transfer with high fidelity in spin-1/2 chains by Lyapunov control
    Shi, Z. C.
    Zhao, X. L.
    Yi, X. X.
    [J]. PHYSICAL REVIEW A, 2015, 91 (03):
  • [16] Fractional quantum hall states of atoms in optical lattices
    Sorensen, AS
    Demler, E
    Lukin, MD
    [J]. PHYSICAL REVIEW LETTERS, 2005, 94 (08)
  • [17] Fractional Quantum Hall States of Photons in an Array of Dissipative Coupled Cavities
    Umucalilar, R. O.
    Carusotto, I.
    [J]. PHYSICAL REVIEW LETTERS, 2012, 108 (20)
  • [18] Artificial gauge field for photons in coupled cavity arrays
    Umucalilar, R. O.
    Carusotto, I.
    [J]. PHYSICAL REVIEW A, 2011, 84 (04):
  • [19] Entanglement generation between distant atoms by Lyapunov control
    Wang, Xiaoting
    Schirmer, S. G.
    [J]. PHYSICAL REVIEW A, 2009, 80 (04):
  • [20] Repulsively bound atom pairs in an optical lattice
    Winkler, K.
    Thalhammer, G.
    Lang, F.
    Grimm, R.
    Denschlag, J. Hecker
    Daley, A. J.
    Kantian, A.
    Buechler, H. P.
    Zoller, P.
    [J]. NATURE, 2006, 441 (7095) : 853 - 856
123