Topological Thouless pumping of ultracold fermions

Charge transport in a cyclically time-modulated periodic potential, also known as a topological Thouless pump, has been realized in an ultracold gas of fermionic atoms. An electron gas in a one-dimensional periodic potential can be transported even in the absence of a voltage bias if the potential is slowly and periodically modulated in time. Remarkably, the transferred charge per cycle is sensitive only to the topology of the path in parameter space. Although this so-called Thouless charge pump was first proposed more than thirty years ago1, it has not yet been realized. Here we report the demonstration of topological Thouless pumping using ultracold fermionic atoms in a dynamically controlled optical superlattice. We observe a shift of the atomic cloud as a result of pumping, and extract the topological invariance of the pumping process from this shift. We demonstrate the topological nature of the Thouless pump by varying the topology of the pumping path and verify that the topological pump indeed works in the quantum regime by varying the speed and temperature.

[1]  I. B. Spielman,et al.  Visualizing edge states with an atomic Bose gas in the quantum Hall regime , 2015, Science.

[2]  M Pepper,et al.  High-frequency single-electron transport in a quasi-one-dimensional GaAs channel induced by surface acoustic waves , 1996, Journal of physics. Condensed matter : an Institute of Physics journal.

[3]  David A. Ritchie,et al.  Gigahertz quantized charge pumping , 2007 .

[4]  E. Mele,et al.  ELEMENTARY EXCITATIONS OF A LINEARLY CONJUGATED DIATOMIC POLYMER , 1982 .

[5]  Scattering approach to parametric pumping , 1998, cond-mat/9808347.

[6]  Lei Wang,et al.  Topological charge pumping in a one-dimensional optical lattice. , 2013, Physical review letters.

[7]  Takuya Kitagawa,et al.  Topological Characterization of Periodically-Driven Quantum Systems , 2010, 1010.6126.

[8]  N. R. Cooper,et al.  Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms , 2014, Nature Physics.

[9]  Qian Niu,et al.  Berry phase effects on electronic properties , 2009, 0907.2021.

[10]  Elementary Excitations of a Linearly Conjugated Diatomic Polymer , 1982 .

[11]  C. Kane,et al.  Topological Insulators , 2019, Electromagnetic Anisotropy and Bianisotropy.

[12]  J. Barreiro,et al.  Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices. , 2013, Physical review letters.

[13]  C. Kane,et al.  Time Reversal Polarization and a Z 2 Adiabatic Spin Pump , 2006, cond-mat/0606336.

[14]  W. Ketterle,et al.  Realizing the Harper Hamiltonian with laser-assisted tunneling in optical lattices. , 2013, Physical review letters.

[15]  Marcus,et al.  An adiabatic quantum electron pump , 1999, Science.

[16]  D. Thouless,et al.  Quantized Hall conductance in a two-dimensional periodic potential , 1992 .

[17]  D. Thouless Topological Quantum Numbers in Nonrelativistic Physics , 1998 .

[18]  Immanuel Bloch,et al.  Direct measurement of the Zak phase in topological Bloch bands , 2012, Nature Physics.

[19]  Tilman Esslinger,et al.  Experimental realization of the topological Haldane model with ultracold fermions , 2014, Nature.

[20]  P. Zoller,et al.  Observation of chiral edge states with neutral fermions in synthetic Hall ribbons , 2015, Science.

[21]  R. Ciuryło,et al.  Two-color photoassociation spectroscopy of ytterbium atoms and the precise determinations of s -wave scattering lengths , 2007, 0708.0752.

[22]  D. Thouless,et al.  Quantization of particle transport , 1983 .

[23]  S. Shen Topological Insulators: Dirac Equation in Condensed Matters , 2013 .

[24]  L. Glazman,et al.  Pumping Electrons , 1999, Science.

[25]  G. Hein,et al.  Single-parameter nonadiabatic quantized charge pumping , 2007, 0707.0993.

[26]  Immanuel Bloch,et al.  Coherent transport of neutral atoms in spin-dependent optical lattice potentials. , 2003, Physical review letters.

[27]  T. Ichinose,et al.  Coherent driving and freezing of bosonic matter wave in an optical Lieb lattice , 2015, Science Advances.

[28]  G. Dorda,et al.  New Method for High-Accuracy Determination of the Fine-Structure Constant Based on Quantized Hall Resistance , 1980 .

[29]  D. Vanderbilt,et al.  Theory of polarization of crystalline solids. , 1993, Physical review. B, Condensed matter.

[30]  O. Zilberberg,et al.  A Thouless quantum pump with ultracold bosonic atoms in an optical superlattice , 2015, Nature Physics.

[31]  R. Yamazaki,et al.  Realization of a SU(2)×SU(6) system of fermions in a cold atomic gas. , 2010, Physical review letters.

[32]  Fractional quantization of the topological charge pumping in a one-dimensional superlattice , 2014, 1408.4457.

[33]  N. D. Mermin,et al.  The topological theory of defects in ordered media , 1979 .

[34]  Zak,et al.  Berry's phase for energy bands in solids. , 1989, Physical review letters.