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Topological phases exhibit a plethora of striking phenomena including disorder-robust localization and propagation of waves of various nature. Of special interest are the transitions between the different topological phases which are…

Spin-only descriptions of the half-filled one-band Hubbard model are relevant for a wide range of Mott insulators. In addition to the usual Heisenberg exchange, many new types of interactions, including ring exchange, appear in the…

强关联电子 · 物理学 2009-06-26 J. -Y. P. Delannoy , M. J. P. Gingras , P. C. W. Holdsworth , A. -M. S. Tremblay

The behavior of a collection of identical particles is intimately linked to the symmetries of their wavefunction under particle exchange. Topological anyons, arising as quasiparticles in low-dimensional systems, interpolate between bosons…

量子物理 · 物理学 2026-05-29 Joe Dunlop , Álvaro Tejero , Michalis Skotiniotis , Daniel Manzano

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…

其他凝聚态物理 · 物理学 2010-02-23 Yue Yu , Yi Li

Many-body spin systems represent a paradigmatic platform for the realization of emergent states of matter in a strongly interacting regime. Spin models are commonly studied in one-dimensional periodic chains, whose lattice constant is on…

介观与纳米尺度物理 · 物理学 2019-10-08 J. L. Lado , Oded Zilberberg

We develop a general method for constructing the many-body Hamiltonian of pairwise interactions describing homonuclear mixtures of atoms occupying states with different total angular momenta or other quantum numbers. The advantage of the…

量子气体 · 物理学 2026-05-22 M. Bulakhov , A. S. Peletminskii , Yu. V. Slyusarenko

We introduce a two-body quantum Hamiltonian model of spin-1/2 on a 2D spatial lattice with exact topological degeneracy in all coupling regimes. There exists a gapped phase in which the low-energy sector reproduces an effective color code…

强关联电子 · 物理学 2013-05-29 H. Bombin , M. Kargarian , M. A. Martin-Delgado

In the effort to design and to construct a quantum computer, several leading proposals make use of spin-based qubits. These designs generally assume that spins undergo pairwise interactions. We point out that, when several spins are engaged…

量子物理 · 物理学 2009-11-10 Ari Mizel , Daniel A. Lidar

We consider a one-dimensional gas of cold atoms with strong contact interactions and construct an effective spin-chain Hamiltonian for a two-component system. The resulting Heisenberg spin model can be engineered by manipulating the shape…

量子气体 · 物理学 2015-02-24 A. G. Volosniev , D. Petrosyan , M. Valiente , D. V. Fedorov , A. S. Jensen , N. T. Zinner

Anyons are exotic quasiparticles obeying fractional statistics,whose behavior can be emulated in artificially designed spin systems.Here we present an experimental emulation of creating anyonic excitations in a superconducting circuit that…

量子物理 · 物理学 2016-11-11 Y. P. Zhong , D. Xu , P. Wang , C. Song , Q. J. Guo , W. X. Liu , K. Xu , B. X. Xia , Chao-Yang Lu , Siyuan Han , Jian-Wei Pan , Haohua Wang

Topologically ordered phase has emerged as one of most exciting concepts that not only broadens our understanding of phases of matter, but also has been found to have potential application in fault-tolerant quantum computation. The direct…

量子物理 · 物理学 2016-06-01 Zhihuang Luo , Chao Lei , Jun Li , Xinfang Nie , Zhaokai Li , Xinhua Peng , Jiangfeng Du

Four electron spin qubits in quantum dots are studied by means of an exchange interaction Hamiltonian. The time-independent Schr\"odinger equation is exactly analytically solved for the symmetric case, that is equal qubit frequencies and…

量子物理 · 物理学 2019-08-15 H. W. L. Naus

Paradigmatic spin Hamiltonians in condensed matter and quantum sensing typically utilize pair-wise or 2-body interactions between constituents in the material or ensemble. However, there is growing interest in exploring more general…

Weak ergodicity breaking in interacting quantum systems may occur due to the existence of a subspace dynamically decoupled from the rest of the Hilbert space. In two-orbital spinful lattice systems, we construct such subspaces that are in…

强关联电子 · 物理学 2026-03-04 Kiryl Pakrouski , K. V. Samokhin

Identifying experimental signatures of anyons, which exhibit fractional exchange statistics, remains a central challenge in the study of two-dimensional topologically ordered systems. Previous theoretical work has shown that the threshold…

强关联电子 · 物理学 2025-11-24 Nico Kirchner , Wonjune Choi , Frank Pollmann

We describe a method for engineering local $k+1$-body interactions ($k=1,2,3$) from two-body couplings in spin-${1}{2}$ systems. When implemented in certain systems with a flat single-particle band with a unit Chern number, the resulting…

强关联电子 · 物理学 2015-06-16 Eliot Kapit , Steven H. Simon

We propose experimental schemes to create and probe minimum forms of different topologically ordered states in a plaquette of an optical lattice: Resonating Valence Bond, Laughlin and string-net condensed states. We show how to create…

其他凝聚态物理 · 物理学 2009-11-13 Belen Paredes , Immanuel Bloch

We show that the evolution of two-component particles governed by a two-dimensional spin-orbit lattice Hamiltonian can reveal transitions between topological phases. A kink in the mean width of the particle distribution signals the closing…

量子气体 · 物理学 2017-11-16 Wei-Wei Zhang , Barry C. Sanders , Simon Apers , Sandeep K. Goyal , David L. Feder

Engineering a Hamiltonian system with tunable interactions provides opportunities to optimize performance for quantum sensing and explore emerging phenomena of many-body systems. An optical lattice clock based on partially delocalized…

Transition-metal interfaces and multilayers are a very promising class of systems to realize nanometer-sized, stable magnetic skyrmions for future spintronic devices. For room temperature applications it is crucial to understand the…

介观与纳米尺度物理 · 物理学 2020-10-28 Souvik Paul , Soumyajyoti Haldar , Stephan von Malottki , Stefan Heinze
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