☆ 4.8 Article

Non-Abelian Braiding of Lattice Bosons

PHYSICAL REVIEW LETTERS (2012)

期刊

PHYSICAL REVIEW LETTERS

卷 108, 期 6, 页码 -

出版社

AMER PHYSICAL SOC

DOI: 10.1103/PhysRevLett.108.066802

关键词

-

类别

Physics, Multidisciplinary

资金

Army Research Office
DARPA OLE
NSF [PHY-1068165]
Department of Defense (DoD) through the National Defense Science and Engineering Graduate (NDSEG)
Division Of Physics
Direct For Mathematical & Physical Scien [1068165] Funding Source: National Science Foundation

向作者/读者索取更多资源

Protocol

Reagent

摘要

We report on a numerical experiment in which we use time-dependent potentials to braid non-Abelian quasiparticles. We consider lattice bosons in a uniform magnetic field within the fractional quantum Hall regime, where v, the ratio of particles to flux quanta, is near 1/2, 1, or 3/2. We introduce time-dependent potentials which move quasiparticle excitations around one another, explicitly simulating a braiding operation which could implement part of a gate in a quantum computation. We find that different braids do not commute for v near 1 and 3/2, with Berry matrices, respectively, consistent with Ising and Fibonacci anyons. Near v = 1/2, the braids commute.

作者

我是这篇论文的作者

点击您的名字以认领此论文并将其添加到您的个人资料中。

评论

主要评分

4.8

评分不足

次要评分

新颖性

-

重要性

-

科学严谨性

-

评价这篇论文

推荐

Article Physics, Multidisciplinary

Classical non-Abelian braiding of acoustic modes

Ze-Guo Chen, Ruo-Yang Zhang, C. T. Chan, Guancong Ma

Summary: This study demonstrates the realization of non-Abelian braiding of multiple degenerate acoustic waveguide modes, exploring the dynamics and geometric phase variations. By switching the order of different braiding processes, the non-Abelian characteristics are revealed.

NATURE PHYSICS (2022)

添加到收藏夹

Article Multidisciplinary Sciences

Non-Abelian braiding of graph vertices in a superconducting processor

T. I. Andersen, Y. D. Lensky, K. Kechedzhi, I. K. Drozdov, A. Bengtsson, S. Hong, A. Morvan, X. Mi, A. Opremcak, R. Acharya, R. Allen, M. Ansmann, F. Arute, K. Arya, A. Asfaw, J. Atalaya, R. Babbush, D. Bacon, J. C. Bardin, G. Bortoli, A. Bourassa, J. Bovaird, L. Brill, M. Broughton, B. B. Buckley, D. A. Buell, T. Burger, B. Burkett, N. Bushnell, Z. Chen, B. Chiaro, D. Chik, C. Chou, J. Cogan, R. Collins, P. Conner, W. Courtney, A. L. Crook, B. Curtin, D. M. Debroy, A. Del Toro Barba, S. Demura, A. Dunsworth, D. Eppens, C. Erickson, L. Faoro, E. Farhi, R. Fatemi, V. S. Ferreira, L. F. Burgos, E. Forati, A. G. Fowler, B. Foxen, W. Giang, C. Gidney, D. Gilboa, M. Giustina, R. Gosula, A. G. Dau, J. A. Gross, S. Habegger, M. C. Hamilton, M. Hansen, M. P. Harrigan, S. D. Harrington, P. Heu, J. Hilton, M. R. Hoffmann, T. Huang, A. Huff, W. J. Huggins, L. B. Ioffe, S. V. Isakov, J. Iveland, E. Jeffrey, Z. Jiang, C. Jones, P. Juhas, D. Kafri, T. Khattar, M. Khezri, M. Kieferova, S. Kim, A. Kitaev, P. V. Klimov, A. R. Klots, A. N. Korotkov, F. Kostritsa, J. M. Kreikebaum, D. Landhuis, P. Laptev, K. -M. Lau, L. Laws, J. Lee, K. W. Lee, B. J. Lester, A. T. Lill, W. Liu, A. Locharla, E. Lucero, F. D. Malone, O. Martin, J. R. McClean, T. McCourt, M. McEwen, K. C. Miao, A. Mieszala, M. Mohseni, S. Montazeri, E. Mount, R. Movassagh, W. Mruczkiewicz, O. Naaman, M. Neeley, C. Neill, A. Nersisyan, M. Newman, J. H. Ng, A. Nguyen, M. Nguyen, M. Y. Niu, T. E. O'Brien, S. Omonije, A. Petukhov, R. Potter, L. P. Pryadko, C. Quintana, C. Rocque, N. C. Rubin, N. Saei, D. Sank, K. Sankaragomathi, K. J. Satzinger, H. F. Schurkus, C. Schuster, M. J. Shearn, A. Shorter, N. Shutty, V. Shvarts, J. Skruzny, W. C. Smith, R. Somma, G. Sterling, D. Strain, M. Szalay, A. Torres, G. Vidal, B. Villalonga, C. V. Heidweiller, T. White, B. W. K. Woo, C. Xing, Z. J. Yao, P. Yeh, J. Yoo, G. Young, A. Zalcman, Y. Zhang, N. Zhu, N. Zobrist, H. Neven, S. Boixo, A. Megrant, J. Kelly, Y. Chen, V. Smelyanskiy, E. -A. Kim, I. Aleiner, P. Roushan

Summary: Indistinguishability of particles is a fundamental principle in quantum mechanics. While braiding of Abelian anyons leaves the system unchanged, braiding of non-Abelian anyons can change the observables of the system without violating the principle of indistinguishability. Experimental observation of non-Abelian anyons' exchange statistics has remained elusive, but using quantum processors, it is now possible to manipulate and braid them, allowing for the verification of their fusion rules and statistics. This work provides insights into non-Abelian braiding and its potential application in fault-tolerant quantum computing with the inclusion of error correction.

NATURE (2023)

添加到收藏夹

Article Physics, Multidisciplinary

Graph gauge theory of mobile non-Abelian anyons in a qubit stabilizer code

Yuri D. Lensky, Kostyantyn Kechedzhi, Igor Aleiner, Eun-Ah Kim

Summary: Stabilizer codes allow for non-local encoding and processing of quantum information. Deformations of stabilizer surface codes introduce new and non-trivial geometry, leading to emergence of long sought after objects known as projective Ising non-Abelian anyons. We present a simple and systematic approach to construct effective unitary protocols for braiding, manipulation and readout of non-Abelian anyons.

ANNALS OF PHYSICS (2023)

添加到收藏夹

Article Materials Science, Multidisciplinary

Non-Abelian braiding of Weyl nodes via symmetry-constrained phase transitions

Siyu Chen, Adrien Bouhon, Robert-Jan Slager, Bartomeu Monserrat

Summary: Weyl semimetals have been studied extensively, and recent research focuses on manipulating the location of Weyl nodes for non-Abelian braiding. A certain type of phase transition imposes a significant reorganization of Weyl nodes, particularly for pairs of nodes with nontrivial topology, which can only be achieved through braiding with adjacent nodes. This motion and braiding process can be driven by small temperature changes.

PHYSICAL REVIEW B (2022)

添加到收藏夹

Article Multidisciplinary Sciences

Phonons as a platform for non-Abelian braiding and its manifestation in layered silicates

Bo Peng, Adrien Bouhon, Bartomeu Monserrat, Robert-Jan Slager

Summary: This study predicts the presence of multi-gap topologies and phase transitions in the phonon spectra of monolayer silicates, providing a clear experimental verification. This is significant for understanding and verifying the existence of multi-gap topologies.

NATURE COMMUNICATIONS (2022)

添加到收藏夹

Article Multidisciplinary Sciences

Topological complex-energy braiding of non-Hermitian bands

Kai Wang, Avik Dutt, Charles C. Wojcik, Shanhui Fan

Summary: The recent theoretical work discovered that the braid group characterizes the topology of non-Hermitian periodic systems, where the complex band energies can braid in momentum space. This study introduces a tight-binding lattice model that can achieve arbitrary elements in the braid group of two strands B-2 and experimentally demonstrates topological complex-energy braiding of non-Hermitian bands in a synthetic dimension. The results provide a direct demonstration of the braid-group characterization of non-Hermitian topology and open a pathway for designing and realizing topologically robust phases in open classical and quantum systems.

NATURE (2021)

添加到收藏夹

Article Physics, Multidisciplinary

Gauge protection in non-abelian lattice gauge theories

Jad C. Halimeh, Haifeng Lang, Philipp Hauke

Summary: Researchers demonstrate how non-abelian gauge invariance can be reliably controlled using energy protection terms, protecting the target gauge sector from unitary gauge-breaking errors. They also show that in certain cases, single-body protection terms can robustly suppress gauge violations at all evolution timescales, exhibiting the emergence of an adjusted gauge theory.

NEW JOURNAL OF PHYSICS (2022)

添加到收藏夹

Article Optics

Anyon braiding on a fractal lattice with a local Hamiltonian

Sourav Manna, Callum W. Duncan, Carrie A. Weidner, Jacob F. Sherson, Anne E. B. Nielsen

Summary: Researchers constructed a local Hamiltonian on a fractal lattice, whose ground state exhibits topological braiding properties, which is of great significance in the fields of topology and condensed matter physics.

PHYSICAL REVIEW A (2022)

添加到收藏夹

Article Physics, Multidisciplinary

Painleve type reductions for the non-Abelian Volterra lattices*

V. E. Adler

Summary: The Volterra lattice has two non-Abelian analogs that maintain integrability, with constraints that can be reduced to second order equations for low order symmetries, leading to Painleve-type equations. This results in two non-Abelian generalizations for discrete Painleve equations and continuous Painleve equations P-3 and P-5.

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL (2021)

添加到收藏夹

Article Astronomy & Astrophysics

Protecting local and global symmetries in simulating (1+1)D non-Abelian gauge theories

Emil Mathew, Indrakshi Raychowdhury

Summary: This paper proposes a global symmetry protection protocol and numerically demonstrates that it can protect all local symmetries for a long time. The proposed scheme can confine the dynamics within the physical Hilbert space even in the presence of explicit local symmetry violating terms.

PHYSICAL REVIEW D (2022)

添加到收藏夹

Article Astronomy & Astrophysics

Excitations of isolated static charges in the charge q=2 Abelian Higgs model

Kazue Matsuyama

Summary: The lattice Monte Carlo evidence reveals stable excitations of isolated static charges in the Higgs phase of the charge q = 2 Abelian Higgs model, which are excited states of the interacting fields surrounding the static charges. This suggests that excited states of this kind in the model may be relevant in a condensed matter context, and that a massive fermion excitation spectrum could be a general feature of gauge Higgs theories based on recent related work in SU(3) gauge Higgs theory.

PHYSICAL REVIEW D (2021)

添加到收藏夹

Article Multidisciplinary Sciences

Non-Abelian anyon collider

June-Young M. Lee, H-S Sim

Summary: A theoretical proposal for a collider for anyons has been reported, which can be used to explore the braiding statistics of various types of anyons. The collider's dominant process involves braiding between injected anyons and an anyon excited at the collider.

NATURE COMMUNICATIONS (2022)

添加到收藏夹

Article Physics, Multidisciplinary

Light-Induced Quantum Droplet Phases of Lattice Bosons in Multimode Cavities

P. Karpov, F. Piazza

Summary: Multimode optical cavities can be utilized to implement highly tunable interatomic interactions. In an optical lattice with bosonic atoms, quantum self-bound droplets dominate the ground state phase diagram, where their size and density emerge from the competition between local repulsion and finite-range cavity-mediated attraction. Two different regimes in the phase diagram are identified, one resembling the standard Bose-Hubbard model in an external potential, while the other showing direct first order transitions and pronounced metastability between incompressible phases. The leaking cavity field can be measured to distinguish between different types of droplets.

PHYSICAL REVIEW LETTERS (2022)

添加到收藏夹

Article Engineering, Manufacturing

Automated braiding of non-axisymmetric structures using an iterative inverse solution with angle control

Marc Gondran, Yasmine Abdin, Yohan Gendreau, Farbod Khameneifar, Louis Laberge Lebel

Summary: This study introduces a novel method for controlling the local targeted braiding angle during the braiding process by iteratively calculating the speed profile. The proposed approach effectively reduces errors when braiding on mandrels with irregular cross-sections.

COMPOSITES PART A-APPLIED SCIENCE AND MANUFACTURING (2021)

添加到收藏夹

Article Physics, Multidisciplinary

Non-Abelian fusion rules from Abelian systems with SPT phases and graph topological order

M. F. Araujo de Resende, J. P. Ibieta Jimenez, J. Lorca Espiro

Summary: Proving the importance of non-Abelian fusion rules in SPT phase transitions.

ANNALS OF PHYSICS (2022)

添加到收藏夹

Article Physics, Multidisciplinary

Path-Dependent Supercooling of the 3He Superfluid A - B Transition

Dmytro Lotnyk, Anna Eyal, Nikolay Zhelev, Abhilash Sebastian, Yefan Tian, Aldo Chavez, Eric Smith, John Saunders, Erich Mueller, Jeevak Parpia

Summary: The study reveals path-dependent transitions in the He-3 A to B transition, which do not align with the standard B-phase nucleation mechanisms in the literature. This symmetry breaking transition may serve as a potential simulator for first order transitions in the early Universe.

PHYSICAL REVIEW LETTERS (2021)

添加到收藏夹

Article Physics, Multidisciplinary

Density Matrix Renormalization Group for Continuous Quantum Systems

Shovan Dutta, Anton Buyskikh, Andrew J. Daley, Erich J. Mueller

Summary: We introduce a framework for applying matrix product state techniques to continuous quantum systems, which allows for accurate calculations of ground-state wave functions, spatial correlations, and spatial entanglement entropy in the continuum. Our approach combines spatial segmentation and continuous basis functions with numerical density matrix renormalization group techniques. We demonstrate faster convergence than standard grid-based discretization in a mesoscopic system of strongly interacting bosons and showcase the power of our approach by studying a superfluid-insulator transition in an external potential.

PHYSICAL REVIEW LETTERS (2022)

添加到收藏夹

Article Multidisciplinary Sciences

Supercooling of the A phase of 3He

Y. Tian, D. Lotnyk, A. Eyal, K. Zhang, N. Zhelev, T. S. Abhilash, A. Chavez, E. N. Smith, M. Hindmarsh, J. Saunders, E. Mueller, J. M. Parpia

Summary: Due to its extreme purity, lack of disorder, and complex order parameter, the first-order superfluid He-3 A-B transition is considered as a leading model system for first order transitions in the early universe. In this study, the path dependence of the supercooling of the A phase is reported over a wide range of pressures below 29.3 bar at nearly zero magnetic field. It is found that the metastability of the A phase is enhanced by transiting through regions where the A phase is more stable, resulting in additional supercooling due to the elimination of B phase nucleation precursors formed upon passage through the superfluid transition.

NATURE COMMUNICATIONS (2023)

添加到收藏夹

Article Materials Science, Multidisciplinary

Role of conservation laws in the density matrix renormalization group

Thomas G. Kiely, Erich J. Mueller

Summary: This article explores the use of matrix product state approximations for wave functions with spontaneously broken symmetries or criticality. Symmetries and their associated conservation laws result in block-sparse matrix product states, which offer faster numerical calculations and reduced memory requirements. However, in symmetry-broken and critical phases, the block-sparse ansatz leads to less accurate energy estimates. The article aims to characterize the role of conservation laws in matrix product states and determine the circumstances in which they are beneficial.

PHYSICAL REVIEW B (2022)

添加到收藏夹

Article Optics

Dynamics of spin helices in the one-dimensional XX model

Darren Pereira, Erich J. Mueller

Summary: Motivated by cold-atom experiments and a desire to understand far-from-equilibrium quantum transport, this study analytically investigates the dynamics of spin helices in the one-dimensional XX model. The authors find a separation of timescales between in-plane and out-of-plane spin dynamics and discover that the spin correlation functions decay as t-1/2 at long time, in contrast to the experimentally observed exponential decay.

PHYSICAL REVIEW A (2022)

添加到收藏夹

Article Optics

Resonant enhancement of particle emission from a parametrically driven condensate in a one-dimensional lattice

L. Q. Lai, Y. B. Yu, Erich J. Mueller

Summary: Motivated by recent experiments, the study investigates particle emission from a Bose-Einstein condensate in a one-dimensional lattice with periodically modulated interaction strength. The modulated interactions excite a collective mode and lead to density oscillations, which in turn drive particle emission. The study finds that the emission rate shows a characteristic threshold behavior based on the amplitude dependence, consistent with experimental observations.

PHYSICAL REVIEW A (2022)

添加到收藏夹

Review Physics, Applied

Engineered dissipation for quantum information science

Patrick M. Harrington, Erich J. Mueller, Kater W. Murch

Summary: This article elaborates on the important role of controlled dissipation in the measurement and control of quantum devices, as well as the applications of dissipation engineering in quantum error correction, quantum sensing, and quantum simulation.

NATURE REVIEWS PHYSICS (2022)

添加到收藏夹

Article Materials Science, Multidisciplinary

Superfluidity in the one-dimensional Bose-Hubbard model

Thomas G. Kiely, Erich J. Mueller

Summary: The study focused on superfluidity in the one-dimensional Bose-Hubbard model, determining superfluid density by calculating energy cost in the thermodynamic limit, observing power-law decay of correlation functions, and the relationship between entanglement entropy and bond dimension. Comparison of two algorithms optimization algorithms was conducted, explaining the efficiency difference between VUMPS and iDMRG, and discussing the potential realization in cold-atom experiments.

PHYSICAL REVIEW B (2022)

添加到收藏夹

Article Optics

Rotating Bose gas dynamically entering the lowest Landau level

Vaibhav Sharma, Erich J. Mueller

Summary: Motivated by recent experiments, this study models the dynamics of a condensed Bose gas in a rotating anisotropic trap. It finds that the condensate remains in the lowest Landau level when the trap anisotropy is slowly switched off. This research contributes to the realization of bosonic analogs of quantum Hall states.

PHYSICAL REVIEW A (2022)

添加到收藏夹

Article Materials Science, Multidisciplinary

Transport in the two-dimensional Fermi-Hubbard model: Lessons from weak coupling

Thomas G. Kiely, Erich J. Mueller

Summary: The study indicates that in the Fermi-Hubbard model, for generic filling, the high-temperature limiting behaviors of electrical and thermal resistivities persist down to temperatures near the hopping matrix element T, while at half filling, anomalous low-temperature scattering results in nearly T-linear electrical resistivity. These findings suggest a continuous connection between T-linear resistivity observed in recent cold atom experiments and weak coupling physics.

PHYSICAL REVIEW B (2021)

添加到收藏夹

Article Optics

Emission of particles from a parametrically driven condensate in a one-dimensional lattice

L. Q. Lai, Y. B. Yu, Erich J. Mueller

Summary: This study focuses on particle emission from a Bose-Einstein condensate trapped in a one-dimensional lattice when the interaction strength is modulated. In addition to the well-studied pair emission, single-particle emission is also observed. Using linear response, closed-form expressions for single-particle emission rates are obtained and pair emission rates are reduced to one-dimensional integrals. The full nonlinear theory of single-particle emission is then simplified to a single variable integrodifferential equation, which is numerically solved.

PHYSICAL REVIEW A (2021)

添加到收藏夹

Article Optics

Influence of sublattice bias on superfluid to Mott insulator transitions

Akshay Sawhney, Erich J. Mueller

Summary: This study models the transition from superfluid to Mott insulator for a Bose gas on a lattice with two inequivalent sublattices, utilizing the Gutzwiller ansatz to produce phase diagrams and understand the interplay of superfluidity on each sublattice. The splitting of Mott lobes and experimental signatures are explored and described.

PHYSICAL REVIEW A (2021)

添加到收藏夹

Article Materials Science, Multidisciplinary

Correlated insulators in twisted bilayer graphene

Ipsita Mandal, Jia Yao, Erich J. Mueller

Summary: Experiments have shown that insulating behavior emerges in graphene bilayers when the moire bands are partially filled and the top layer is rotated relative to the bottom layer. By calculating charge distributions and estimating excitation gaps, researchers are able to further understand the properties of these phases.

PHYSICAL REVIEW B (2021)

添加到收藏夹

Article Optics

Driven-dissipative control of cold atoms in tilted optical lattices

Vaibhav Sharma, Erich J. Mueller

Summary: The study introduces a set of driven-dissipative protocols for controlling cold atoms in tilted optical lattices and showcases how dissipation can manipulate quantum many-body systems. By employing a specific experimental setup, the research team successfully achieved controllable atom transport in the lattice and generation of self-healing quantum states.

PHYSICAL REVIEW A (2021)

添加到收藏夹

Article Optics

Drag in Bose-Fermi mixtures

Kai Yen Jee, Erich Mueller

Summary: Using kinetic theory, we modeled the dynamics of a small Bose condensed cloud of heavy particles moving through a larger degenerate Fermi gas of light particles. By varying the Bose-Fermi interaction, we observed a transition between bulk- and surface-dominated regimes. Our calculations of the dipole mode in a harmonic trap showed excellent agreement with experimental studies of Cs-Li mixtures, confirming the accuracy of our stochastic model.

PHYSICAL REVIEW A (2021)

添加到收藏夹

暂无数据

© Peeref 2019-2024. All rights reserved.