Classical non-Abelian braiding of acoustic modes

[1]  Ze-Guo Chen,et al.  Landau-Zener Transition in the Dynamic Transfer of Acoustic Topological States. , 2021, Physical review letters.

[2]  Ze-Guo Chen,et al.  Chiral Symmetry Breaking of Tight-Binding Models in Coupled Acoustic-Cavity Systems , 2020 .

[3]  Kevin P. Chen,et al.  Braiding photonic topological zero modes , 2019, Nature Physics.

[4]  Y. Gefen,et al.  Geometric phase from Aharonov–Bohm to Pancharatnam–Berry and beyond , 2019, Nature Reviews Physics.

[5]  M. Soljačić,et al.  Synthesis and observation of non-Abelian gauge fields in real space , 2019, Science.

[6]  E. Prodan,et al.  Topological Braiding of Non-Abelian Midgap Defects in Classical Metamaterials. , 2019, Physical review letters.

[7]  A. Szameit,et al.  Optimal design strategy for non-Abelian geometric phases using Abelian gauge fields based on quantum metric , 2019, Physical Review Research.

[8]  P. Boross,et al.  Poor man's topological quantum gate based on the Su-Schrieffer-Heeger model , 2019, Physical Review B.

[9]  X. Xie,et al.  Double-frequency Aharonov-Bohm effect and non-Abelian braiding properties of Jackiw-Rebbi zero-mode , 2019, National science review.

[10]  Jensen Li,et al.  Non-Abelian gauge field optics , 2018, Nature Communications.

[11]  C. Chan,et al.  Topological transport of sound mediated by spin-redirection geometric phase , 2016, Science Advances.

[12]  Andrea Alù,et al.  Gradient Nonlinear Pancharatnam-Berry Metasurfaces. , 2015, Physical review letters.

[13]  T. Schuster,et al.  Non-Abelian Braiding of Light. , 2015, Physical review letters.

[14]  Guixin Li,et al.  University of Birmingham Continuous control of the nonlinearity phase for harmonic generations , 2015 .

[15]  S. Berger,et al.  Experimental realization of non-Abelian non-adiabatic geometric gates , 2013, Nature.

[16]  Jason Alicea,et al.  New directions in the pursuit of Majorana fermions in solid state systems , 2012, Reports on progress in physics. Physical Society.

[17]  A. Stern.  Non-Abelian states of matter , 2010, Nature.

[18]  S. Das Sarma,et al.  Majorana fermions and a topological phase transition in semiconductor-superconductor heterostructures. , 2010, Physical review letters.

[19]  S Das Sarma,et al.  Generic new platform for topological quantum computation using semiconductor heterostructures. , 2009, Physical review letters.

[20]  Ady Stern,et al.  Anyons and the quantum Hall effect - a pedagogical review , 2007, 0711.4697.

[21]  M. Freedman,et al.  Towards universal topological quantum computation in the ν = 5 2 fractional quantum Hall state , 2005, cond-mat/0512066.

[22]  M. Freedman,et al.  Topologically protected qubits from a possible non-Abelian fractional quantum Hall state. , 2004, Physical review letters.

[23]  Erez Hasman,et al.  Polarization dependent focusing lens by use of quantized Pancharatnam–Berry phase diffractive optics , 2003 .

[24]  Erez Hasman,et al.  Space-variant Pancharatnam-Berry phase optical elements with computer-generated subwavelength gratings. , 2002, Optics letters.

[25]  E Hasman,et al.  Pancharatnam--Berry phase in space-variant polarization-state manipulations with subwavelength gratings. , 2001, Optics letters.

[26]  J. Cirac,et al.  Geometric Manipulation of Trapped Ions for Quantum Computation , 2001, Science.

[27]  D. Ivanov.  Non-Abelian statistics of half-quantum vortices in p-wave superconductors. , 2000, Physical review letters.

[28]  P. Zanardi,et al.  Holonomic quantum computation , 1999, quant-ph/9904011.

[29]  Gregory W. Moore,et al.  Nonabelions in the fractional quantum Hall effect , 1991 .

[30]  Wen.  Non-Abelian statistics in the fractional quantum Hall states. , 1991, Physical review letters.

[31]  Tomita,et al.  Observation of Berry's topological phase by use of an optical fiber. , 1986, Physical review letters.

[32]  A. Niemi,et al.  Fermion number fractionization in quantum field theory , 1986 .

[33]  Frank Wilczek,et al.  Fractional Statistics and the Quantum Hall Effect , 1984 .

[34]  Frank Wilczek,et al.  Appearance of Gauge Structure in Simple Dynamical Systems , 1984 .

[35]  B. Halperin.  Statistics of quasiparticles and the hierarchy of fractional quantized Hall states , 1984 .

[36]  M. Berry.  Quantal phase factors accompanying adiabatic changes , 1984, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[37]  Barry Simon,et al.  Holonomy, the Quantum Adiabatic Theorem, and Berry's Phase , 1983 .

[38]  D. C. Tsui,et al.  Two-Dimensional Magnetotransport in the Extreme Quantum Limit , 1982 .

[39]  H. Xiaa,et al.  Designable 3 D nanofabrication by femtosecond laser direct writing , 2010 .

[40]  A. Jamiołkowski,et al.  Geometric Phases in Classical and Quantum Mechanics , 2004 .

[41]  F. Wilczek,et al.  Geometric Phases in Physics , 1989 .