Tomography of Band Insulators from Quench Dynamics

被引：112
作者：
Hauke, Philipp [1 ,2 ]
Lewenstein, Maciej [3 ,4 ]
Eckardt, Andre [5 ]
机构：
[1] Austrian Acad Sci, Inst Quantenopt & Quanteninformat, A-6020 Innsbruck, Austria
[2] Univ Innsbruck, Inst Theoret Phys, A-6020 Innsbruck, Austria
[3] ICFO Inst Ciencies Foton, E-08860 Castelldefels, Spain
[4] ICREA Inst Catalana Recerca & Estudis Avancats, E-08010 Barcelona, Spain
[5] Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany
来源：
PHYSICAL REVIEW LETTERS | 2014年 / 113卷 / 04期
关键词：
ELECTRONS; PHASE;
D O I：
10.1103/PhysRevLett.113.045303
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We propose a simple scheme for tomography of band-insulating states in one-and two-dimensional optical lattices with two sublattice states. In particular, the scheme maps out the Berry curvature in the entire Brillouin zone and extracts topological invariants such as the Chern number. The measurement relies on observing-via time-of-flight imaging-the time evolution of the momentum distribution following a sudden quench in the band structure. We consider two examples of experimental relevance: the Harper model with p flux and the Haldane model on a honeycomb lattice. Moreover, we illustrate the performance of the scheme in the presence of a parabolic trap, noise, and finite measurement resolution.
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页数：5
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[1]   Interferometric Approach to Measuring Band Topology in 2D Optical Lattices [J].
Abanin, Dmitry A. ;
Kitagawa, Takuya ;
Bloch, Immanuel ;
Demler, Eugene .
PHYSICAL REVIEW LETTERS, 2013, 110 (16)
[2]   Realization of the Hofstadter Hamiltonian with Ultracold Atoms in Optical Lattices [J].
Aidelsburger, M. ;
Atala, M. ;
Lohse, M. ;
Barreiro, J. T. ;
Paredes, B. ;
Bloch, I. .
PHYSICAL REVIEW LETTERS, 2013, 111 (18)
[3]   Experimental Realization of Strong Effective Magnetic Fields in an Optical Lattice [J].
Aidelsburger, M. ;
Atala, M. ;
Nascimbene, S. ;
Trotzky, S. ;
Chen, Y. -A. ;
Bloch, I. .
PHYSICAL REVIEW LETTERS, 2011, 107 (25)
[4]   Seeing Topological Order in Time-of-Flight Measurements [J].
Alba, E. ;
Fernandez-Gonzalvo, X. ;
Mur-Petit, J. ;
Pachos, J. K. ;
Garcia-Ripoll, J. J. .
PHYSICAL REVIEW LETTERS, 2011, 107 (23)
[5]  
Atala M, 2013, NAT PHYS, V9, P795, DOI [10.1038/nphys2790, 10.1038/NPHYS2790]
[6]   Effects of smooth boundaries on topological edge modes in optical lattices [J].
Buchhold, Michael ;
Cocks, Daniel ;
Hofstetter, Walter .
PHYSICAL REVIEW A, 2012, 85 (06)
[7]   Topological phase transitions driven by non-Abelian gauge potentials in optical square lattices [J].
Burrello, M. ;
Fulga, I. C. ;
Alba, E. ;
Lepori, L. ;
Trombettoni, A. .
PHYSICAL REVIEW A, 2013, 88 (05)
[8]   Extracting the Chern Number from the Dynamics of a Fermi Gas: Implementing a Quantum Hall Bar for Cold Atoms [J].
Dauphin, Alexandre ;
Goldman, Nathan .
PHYSICAL REVIEW LETTERS, 2013, 111 (13)
[9]   Chern numbers in discretized Brillouin zone: Efficient method of computing (spin) Hall conductances [J].
Fukui, T ;
Hatsugai, Y ;
Suzuki, H .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2005, 74 (06) :1674-1677
[10]   Bose-Einstein Condensation of Atoms in a Uniform Potential [J].
Gaunt, Alexander L. ;
Schmidutz, Tobias F. ;
Gotlibovych, Igor ;
Smith, Robert P. ;
Hadzibabic, Zoran .
PHYSICAL REVIEW LETTERS, 2013, 110 (20)
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