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Quantum Information Processing
Erschienen in: Quantum Information Processing 11/2016

01.11.2016

Simulating Weyl points and nodal loops in an optical superlattice

verfasst von: Dan-Wei Zhang

Erschienen in: Quantum Information Processing | Ausgabe 11/2016

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Abstract

We propose a scheme to simulate Weyl points and nodal loops with ultracold atoms in an optical lattice that is subjected to realizable synthetic magnetic field and synthetic dimension. We show that a Hofstadter-like Hamiltonian with a cyclically parameterized on-site energy term can be realized in a tunable two-dimensional optical superlattice, based on the laser-assisted atomic tunneling method. This model effectively describes a three-dimensional periodic lattice system under magnetic fluxes, where a synthetic dimension is encoded by a cyclical phase of the optical lattice potential. For different atomic hopping configurations, the single-particle bands are demonstrated to, respectively, exhibit Weyl points and nodal loops in the extended three-dimensional Brillouin zone. Furthermore, we illustrate that the mimicked Weyl points and nodal loops can be experimentally detected by measuring the atomic transfer fraction in Bloch–Zener oscillations.
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Literatur
1.
Lin, Y.-J., Compton, R.L., Jiménez-García, K., Porto, J.V., Spielman, I.B.: Synthetic magnetic fields for ultracold neutral atoms. Nature (London) 462, 628 (2009)ADSCrossRef
2.
Lin, Y.-J., Jiménez-García, K., Spielman, I.B.: A spin–orbit coupled Bose–Einstein condensate. Nature (London) 471, 83 (2011)ADSCrossRef
3.
Wang, P., Yu, Z.-Q., Fu, Z., Miao, J., Huang, L., Chai, S., Zhai, H., Zhang, J.: Spin–orbit coupled degenerate Fermi gases. Phys. Rev. Lett. 109, 095301 (2012)ADSCrossRef
4.
Cheuk, L.W., Sommer, A.T., Hadzibabic, Z., Yefsah, T., Bakr, W.S., Zwierlein, M.W.: Spin-injection spectroscopy of a spin–orbit coupled Fermi gas. Phys. Rev. Lett. 109, 095302 (2012)ADSCrossRef
5.
Dalibard, J., Gerbier, F., Juzeliūnas, G., Öhberg, P.: Colloquium: artificial gauge potentials for neutral atoms. Rev. Mod. Phys. 83, 1523 (2011)ADSCrossRef
6.
Lewenstein, M., Sanpera, A., Ahufinger, V., Damski, B., De, A.S., Sen, U.: Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond. Adv. Phys. 56, 243 (2007)ADSCrossRef
7.
Zhang, D.-W., Wang, Z.D., Zhu, S.-L.: Relativistic quantum effects of Dirac particles simulated by ultracold atoms. Front. Phys. 7, 31 (2012)CrossRef
8.
Goldman, N., Juzeliūnas, G., Öhberg, P., Spielman, I.B.: Light-induced gauge fields for ultracold atoms. Rep. Prog. Phys. 77, 126401 (2014)ADSCrossRef
9.
10.
Hasan, M.Z., Kane, C.L.: Colloquium: topological insulators. Rev. Mod. Phys. 82, 3045 (2010)ADSCrossRef
11.
Qi, X.-L., Zhang, S.C.: Topological insulators and superconductors. Rev. Mod. Phys. 83, 1057 (2011)ADSCrossRef
12.
Wan, X., Turner, A.M., Vishwannath, A., Savrasov, S.Y.: Topological semimetal and Fermi-arc surface states in the electronic structure of pyrochlore iridates. Phys. Rev. B 83, 205101 (2011)ADSCrossRef
13.
Burkov, A.A., Hook, M.D., Balents, L.: Topological nodal semimetals. Phys. Rev. B 84, 235126 (2011)ADSCrossRef
14.
Volovik, G.E.: The Universe in a Helium Droplet. Clarendon, Oxford (2003)MATH
15.
Delplace, P., Li, J., Carpentier, D.: Topological Weyl semi-metal from a lattice model. Europhys. Lett. 97, 67004 (2012)ADSCrossRef
16.
Xu, S.-Y., Belopolski, I., Alidoust, N., Neupane, M., Zhang, C., Sankar, R., Huang, S.-M., Lee, C.-C., Chang, G., Wang, B., Bian, G., Zheng, H., Sanchez, D.S., Chou, F., Lin, H., Jia, S., Hasan, M.Z.: Discovery of a Weyl fermion semimetal and topological Fermi arcs. Science 349, 613 (2015)ADSCrossRef
17.
Lv, B.Q., Weng, H.M., Fu, B.B., Wang, X.P., Miao, H., Ma, J., Richard, P., Huang, X.C., Zhao, L.X., Chen, G.F., Fang, Z., Dai, X., Qian, T., Ding, H.: Experimental discovery of Weyl semimetal TaAs. Phys. Rev. X 5, 031013 (2015)
18.
Inoue, H., Gyenis, A., Wang, Z., Li, J., Oh, S.W., Jiang, S., Ni, N., Bernevig, B.A., Yazdani, A.: Quasiparticle interference of the Fermi arcs and surface-bulk connectivity of a Weyl semimetal. Science 351, 1184 (2016)ADSCrossRef
19.
Tarruell, L., Greif, D., Uehlinger, T., Jotzu, G., Esslinger, T.: Creating, moving and merging Dirac points with a Fermi gas in a tunable honeycomb lattice. Nature (London) 483, 302 (2012)ADSCrossRef
20.
Hofstadter, D.R.: Energy levels and wave functions of Bloch electrons in rational and irrational magnetic fields. Phys. Rev. B 14, 2239 (1976)ADSCrossRef
21.
Haldane, F.D.M.: Model for a quantum Hall effect without Landau levels: condensed-matter realization of the “parity anomaly”. Phys. Rev. Lett. 61, 2015 (1988)ADSMathSciNetCrossRef
22.
Miyake, H., Siviloglou, G.A., Kennedy, C.J., Burton, W.C., Ketterle, W.: Realizing the Harper Hamiltonian with laser-assisted tunneling in optical lattices. Phys. Rev. Lett. 111, 185302 (2013)ADSCrossRef
23.
Aidelsburger, M., Atala, M., Lohse, M., Barreiro, J.T., Paredes, B., Bloch, I.: Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices. Phys. Rev. Lett. 111, 185301 (2013)ADSCrossRef
24.
Aidelsburger, M., Lohse, M., Schweizer, C., Atala, M., Barreiro, J.T., Nascimbène, S., Cooper, N.R., Bloch, I., Goldman, N.: Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms. Nat. Phys. 11, 162 (2015)CrossRef
25.
Jotzu, G., Messer, M., Desbuquois, R., Lebrat, M., Uehlinger, T., Greif, D., Esslinger, T.: Experimental realisation of the topological Haldane model with ultracold fermions. Nature (London) 515, 237 (2014)ADSCrossRef
26.
Atala, M., Aidelsburger, M., Barreiro, J.T., Abanin, D., Kitagawa, T., Demler, E., Bloch, I.: Direct measurement of the Zak phase in topological Bloch bands. Nat. Phys. 9, 795 (2013)CrossRef
27.
Lang, L.-J., Cai, X., Chen, S.: Edge states and topological phases in one-dimensional optical superlattices. Phys. Rev. Lett. 108, 220401 (2012)ADSCrossRef
28.
Mei, F., Zhu, S.-L., Zhang, Z.-M., Oh, C.H., Goldman, N.: Simulating \(\mathbb{Z}_2\) topological insulators with cold atoms in a one-dimensional optical lattice. Phys. Rev. A 85, 013638 (2012)ADSCrossRef
29.
30.
Boada, O., Celi, A., Latorre, J.I., Lewenstein, M.: Quantum simulation of an extra dimension. Phys. Rev. Lett. 108, 133001 (2012)ADSCrossRef
31.
Celi, A., Massignan, P., Ruseckas, J., Goldman, N., Spielman, I.B., Juzeliūnas, G., Lewenstein, M.: Synthetic gauge fields in synthetic dimensions. Phys. Rev. Lett. 112, 043001 (2014)ADSCrossRef
32.
Price, H.M., Zilberberg, O., Ozawa, T., Carusotto, I., Goldman, N.: Four-dimensional quantum Hall effect with ultracold atoms. Phys. Rev. Lett. 115, 195303 (2015)ADSCrossRef
33.
Kraus, Y.E., Lahini, Y., Ringel, Z., Verbin, M., Zilberber, O.: Topological states and adiabatic pumping in quasicrystals. Phys. Rev. Lett. 109, 106402 (2012)ADSCrossRef
34.
Mei, F., You, J.-B., Nie, W., Fazio, R., Zhu, S.-L., Kwek, L.C.: Simulation and detection of photonic Chern insulators in a one-dimensional circuit-QED lattice. Phys. Rev. A 92, 041805(R) (2015)ADSCrossRef
35.
Luo, X.-W., Zhou, X., Li, C.-F., Xu, J.-S., Guo, G.-C., Zhou, Z.-W.: Quantum simulation of 2D topological physics in a 1D array of optical cavities. Nat. Commun. 6, 7704 (2015)ADSCrossRef
36.
Yuan, L., Shi, Y., Fan, S.: Photonic gauge potential in a system with a synthetic frequency dimension. Opt. Lett. 41, 741 (2016)ADSCrossRef
37.
Ozawa, T., Price, H. M., Goldman, N., Zilberberg, O., Carusotto, I.: Synthetic dimensions in integrated photonics: from optical isolation to 4D quantum Hall physics. arXiv:​ 1510.​03910
38.
Mancini, M., Pagano, G., Cappellini, G., Livi, L., Rider, M., Catani, J., Sias, C., Zoller, P., Inguscio, M., Dalmonte, M., Fallani, L.: Observation of chiral edge states with neutral fermions in synthetic Hall ribbons. Science 349, 1510 (2015)ADSMathSciNetCrossRef
39.
Stuhl, B.K., Lu, H.-I., Aycock, L.M., Genkina, D., Spielman, I.B.: Visualizing edge states with an atomic Bose gas in the quantum Hall regime. Science 349, 1514 (2015)ADSMathSciNetCrossRef
40.
Lu, L., Wang, Z., Ye, D., Ran, L., Fu, L., Joannopoulos, J.D., Soljǎcíc, M.: Experimental observation of Weyl points. Science 349, 622 (2015)ADSMathSciNetCrossRef
41.
Xiao, M., Chen, W.-J., He, W.-Y., Chan, C.T.: Synthetic gauge flux and Weyl points in acoustic systems. Nat. Phys. 11, 920 (2015)CrossRef
42.
Bian, G., Chang, T.-R., Sankar, R., Xu, S.-Y., Zheng, H., Neupert, T., Chiu, C.-K., Huang, S.-M., Chang, G., Belopolski, I., Sanchez, D.S., Neupane, M., Alidoust, N., Liu, C., Wang, B., Lee, C.-C., Jeng, H.-T., Zhang, C., Yuan, Z., Jia, S., Bansil, A., Chou, F., Lin, H., Hasan, M.Z.: Topological nodal-line fermions in spin–orbit metal PbTaSe2. Nat. Commun. 7, 10556 (2016). doi:10.​1038/​ncomms10556 ADSCrossRef
43.
Jiang, J.H.: Tunable topological Weyl semimetal from simple-cubic lattices with staggered fluxes. Phys. Rev. A 85, 033640 (2012)ADSCrossRef
44.
Ganeshan, S., Sarma, S.: Das: constructing a Weyl semimetal by stacking one-dimensional topological phases. Phys. Rev. B 91, 125438 (2015)ADSCrossRef
45.
Dubcek, T., Kennedy, C.J., Lu, L., Ketterle, W., Soljacic, M., Buljan, H.: Weyl Points in three-dimensional optical lattices: synthetic magnetic monopoles in momentum space. Phys. Rev. Lett. 114, 225301 (2015)ADSCrossRef
46.
Zhang, D.-W., Zhu, S.-L., Wang, Z.D.: Simulating and exploring Weyl semimetal physics with cold atoms in a two-dimensional optical lattice. Phys. Rev. A 92, 013632 (2015)ADSCrossRef
47.
He, W.-Y., Zhang, S., Law, K.T.: Realization and detection ofWeyl semimetals and the chiral anomaly in cold atomic systems. Phys. Rev. A 94, 013606 (2016)ADSCrossRef
48.
Zhang, D.-W., Zhao, Y.X., Liu, R.-B., Xue, Z.-Y., Zhu, S.-L., Wang, Z.D.: Quantum simulation of exotic PT-invariant topological nodal loop bands with ultracold atoms in an optical lattice. Phys. Rev. A 93, 043617 (2016)ADSCrossRef
49.
Xu, Y., Zhang, C.: Dirac and Weyl rings in three dimensional cold atom optical lattices. Phys. Rev. A 93, 063606 (2016)ADSCrossRef
50.
Roati, G., D’Errico, C., Fallani, L., Fattori, M., Fort, C., Zaccanti, M., Modugno, G., Modugno, M., Inguscio, M.: Anderson localization of a non-interacting Bose–Einstein condensate. Nature (London) 453, 895 (2008)ADSCrossRef
51.
Uehlinger, T., Greif, D., Jotzu, G., Tarruell, L., Esslinger, T., Wang, L., Troyer, M.: Double transfer through Dirac points in a tunable honeycomb optical lattice. Eur. Phys. J. Spec. Top. 217, 121 (2013)CrossRef
52.
Lim, L.-K., Fuchs, J.-N., Montambaux, G.: Bloch–Zener oscillations across a merging transition of Dirac points. Phys. Rev. Lett. 108, 175303 (2012)ADSCrossRef
Metadaten
Titel
Simulating Weyl points and nodal loops in an optical superlattice
verfasst von
Dan-Wei Zhang
Publikationsdatum
01.11.2016
Verlag
Springer US
Erschienen in
Quantum Information Processing / Ausgabe 11/2016
Print ISSN: 1570-0755
Elektronische ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-016-1428-3

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