%0 Journal Article %D 2023 %T Realization of 1D Anyons with Arbitrary Statistical Phase %A Joyce Kwan %A Perrin Segura %A Yanfei Li %A Sooshin Kim %A Alexey V. Gorshkov %A André Eckardt %A Brice Bakkali-Hassani %A Markus Greiner %X

Low-dimensional quantum systems can host anyons, particles with exchange statistics that are neither bosonic nor fermionic. Despite indications of a wealth of exotic phenomena, the physics of anyons in one dimension (1D) remains largely unexplored. Here, we realize Abelian anyons in 1D with arbitrary exchange statistics using ultracold atoms in an optical lattice, where we engineer the statistical phase via a density-dependent Peierls phase. We explore the dynamical behavior of two anyons undergoing quantum walks, and observe the anyonic Hanbury Brown-Twiss effect, as well as the formation of bound states without on-site interactions. Once interactions are introduced, we observe spatially asymmetric transport in contrast to the symmetric dynamics of bosons and fermions. Our work forms the foundation for exploring the many-body behavior of 1D anyons.

%8 6/2/2023 %G eng %U https://arxiv.org/abs/2306.01737 %0 Journal Article %D 2019 %T Quantum Simulators: Architectures and Opportunities %A Ehud Altman %A Kenneth R. Brown %A Giuseppe Carleo %A Lincoln D. Carr %A Eugene Demler %A Cheng Chin %A Brian DeMarco %A Sophia E. Economou %A Mark A. Eriksson %A Kai-Mei C. Fu %A Markus Greiner %A Kaden R. A. Hazzard %A Randall G. Hulet %A Alicia J. Kollár %A Benjamin L. Lev %A Mikhail D. Lukin %A Ruichao Ma %A Xiao Mi %A Shashank Misra %A Christopher Monroe %A Kater Murch %A Zaira Nazario %A Kang-Kuen Ni %A Andrew C. Potter %A Pedram Roushan %X

Quantum simulators are a promising technology on the spectrum of quantum devices from specialized quantum experiments to universal quantum computers. These quantum devices utilize entanglement and many-particle behaviors to explore and solve hard scientific, engineering, and computational problems. Rapid development over the last two decades has produced more than 300 quantum simulators in operation worldwide using a wide variety of experimental platforms. Recent advances in several physical architectures promise a golden age of quantum simulators ranging from highly optimized special purpose simulators to flexible programmable devices. These developments have enabled a convergence of ideas drawn from fundamental physics, computer science, and device engineering. They have strong potential to address problems of societal importance, ranging from understanding vital chemical processes, to enabling the design of new materials with enhanced performance, to solving complex computational problems. It is the position of the community, as represented by participants of the NSF workshop on "Programmable Quantum Simulators," that investment in a national quantum simulator program is a high priority in order to accelerate the progress in this field and to result in the first practical applications of quantum machines. Such a program should address two areas of emphasis: (1) support for creating quantum simulator prototypes usable by the broader scientific community, complementary to the present universal quantum computer effort in industry; and (2) support for fundamental research carried out by a blend of multi-investigator, multi-disciplinary collaborations with resources for quantum simulator software, hardware, and education. 

%8 12/14/2019 %G eng %U https://arxiv.org/abs/1912.06938 %0 Journal Article %J Physical Review Letters %D 2008 %T Coherent Quantum Optical Control with Subwavelength Resolution %A Alexey V. Gorshkov %A Liang Jiang %A Markus Greiner %A Peter Zoller %A Mikhail D. Lukin %X We suggest a new method for quantum optical control with nanoscale resolution. Our method allows for coherent far-field manipulation of individual quantum systems with spatial selectivity that is not limited by the wavelength of radiation and can, in principle, approach a few nanometers. The selectivity is enabled by the nonlinear atomic response, under the conditions of Electromagnetically Induced Transparency, to a control beam with intensity vanishing at a certain location. Practical performance of this technique and its potential applications to quantum information science with cold atoms, ions, and solid-state qubits are discussed. %B Physical Review Letters %V 100 %8 2008/3/7 %G eng %U http://arxiv.org/abs/0706.3879v2 %N 9 %! Phys. Rev. Lett. %R 10.1103/PhysRevLett.100.093005