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Linear arrays of trapped and laser cooled atomic ions are a versatile platform for studying emergent phenomena in strongly-interacting many-body systems. Effective spins are encoded in long-lived electronic levels of each ion and made to…

Topological states of matter, as quantum Hall systems or topological insulators, cannot be distinguished from ordinary matter by local measurements in the bulk of the material. Instead, global measurements are required, revealing…

We propose the realization of topological quantum states with cold atoms trapped in an optical lattice. We discuss an experimental setup that generates a two-dimensional hexagonal lattice in the presence of a light-induced periodic vector…

Mesoscale and Nanoscale Physics · Physics 2009-07-21 Tudor D. Stanescu , Victor Galitski , J. Y. Vaishnav , Charles W. Clark , S. Das Sarma

We propose a general framework for studying two-dimensional (2D) topologically ordered states subject to local correlated errors and show that the resulting mixed-state can display intrinsically mixed-state topological order (imTO) --…

Strongly Correlated Electrons · Physics 2025-01-22 Ramanjit Sohal , Abhinav Prem

Decoherence is a major obstacle to the preparation of topological order in noisy intermediate-scale quantum devices. Here, we show that decoherence can also give rise to new types of topological order. Specifically, we construct concrete…

Quantum Physics · Physics 2025-01-23 Zijian Wang , Zhengzhi Wu , Zhong Wang

Artificial neural networks and machine learning have now reached a new era after several decades of improvement where applications are to explode in many fields of science, industry, and technology. Here, we use artificial neural networks…

Disordered Systems and Neural Networks · Physics 2017-11-23 Dong-Ling Deng , Xiaopeng Li , S. Das Sarma

Topological orders are exotic phases of matter existing in strongly correlated quantum systems, which are beyond the usual symmetry description and cannot be distinguished by local order parameters. Here we report an experimental quantum…

Quantum Physics · Physics 2015-06-22 Xinhua Peng , Zhihuang Luo , Supeng Kou , Dieter Suter , Jiangfeng Du

The subject of bianyon interference with ultracold atoms is introduced through theoretical investigations pertaining to the second-order momentum correlation maps of two anyons (built upon spinless and spin-1/2 bosonic, as well as spin-1/2…

Quantum Gases · Physics 2019-07-15 Constantine Yannouleas , Uzi Landman

We study the properties of entanglement in two-dimensional topologically ordered phases of matter. Such phases support anyons, quasiparticles with exotic exchange statistics. The emergent nonlocal state spaces of anyonic systems admit a…

Quantum Physics · Physics 2017-10-17 Parsa Bonderson , Christina Knapp , Kaushal Patel

Quantum computation provides a unique opportunity to explore new regimes of physical systems through the creation of non-trivial quantum states far outside of the classical limit. However, such computation is remarkably sensitive to noise…

Strongly Correlated Electrons · Physics 2011-04-04 Haitan Xu , J. M. Taylor

Emergent anyons are the key elements of the topological quantum computation and topological quantum memory. We study a two-component fermion model with conventional two-body interaction in an open boundary condition and show that several…

Other Condensed Matter · Physics 2010-02-23 Yue Yu , Yi Li

We propose a scheme involving cold atoms trapped in optical lattices to observe different phenomena traditionally linked to quantum-optical systems. The basic idea consists of connecting the trapped atomic state to a non-trapped state…

Quantum Physics · Physics 2011-11-10 Carlos Navarrete-Benlloch , Inés de Vega , Diego Porras , J. Ignacio Cirac

We study the atom-light interaction in the fully quantum regime, with focus on off-resonant light scattering into a cavity from ultracold atoms trapped in an optical lattice. The detection of photons allows the quantum nondemolition (QND)…

We propose a method for the emulation of artificial spin orbit coupling in a system of ultracold, neutral atoms trapped in a tight-binding lattice. This scheme does not involve near-resonant laser fields, avoiding the heating processes…

Quantum Gases · Physics 2014-09-24 Julian Struck , Juliette Simonet , Klaus Sengstock

Artificial quantum systems have emerged as indispensable platforms to realize exotic topological matter in a well-controlled manner. Here, we demonstrate topological quantum Heisenberg spin lattices, engineered with spin chains and…

Mesoscale and Nanoscale Physics · Physics 2025-10-13 Hao Wang , Peng Fan , Jing Chen , Lili Jiang , Hong-Jun Gao , Jose L. Lado , Kai Yang

Detecting topological order in cold-atom experiments is an ongoing challenge, the resolution of which offers novel perspectives on topological matter. In material systems, unambiguous signatures of topological order exist for topological…

Quantum Gases · Physics 2013-04-25 N. Goldman , J. Dalibard , A. Dauphin , F. Gerbier , M. Lewenstein , P. Zoller , I. B. Spielman

Topological ordered states are exotic quantum states of matter that defy the usual description in terms of symmetry breaking and local order parameters. The type or order they feature is of non-local, topological nature, and it allows such…

Quantum Physics · Physics 2013-12-11 Alioscia Hamma

In the present work we demonstrate how to realize 1d-optical closed lattice experimentally, including a {\it tunable} boundary phase-twist. The latter may induce ``persistent currents'', visible by studing the atoms' momentum distribution.…

Other Condensed Matter · Physics 2009-11-11 Luigi Amico , Andreas Osterloh , Francesco Cataliotti

Versatile controllability of interactions in ultracold atomic and molecular gases has now reached an unprecedented era where quantum correlations and unconventional many-body phases can be studied with no corresponding analogs in solid…

Quantum Gases · Physics 2015-05-18 Xiaopeng Li , S. Das Sarma

We consider a two-dimensional spin system that exhibits abelian anyonic excitations. Manipulations of these excitations enable the construction of a quantum computational model. While the one-qubit gates are performed dynamically the model…

Quantum Physics · Physics 2007-08-28 Jiannis K. Pachos