Article
Optics
Xu-Lin Zhang, Feng Yu, Ze-Guo Chen, Zhen-Nan Tian, Qi-Dai Chen, Hong-Bo Sun, Guancong Ma
Summary: The study successfully demonstrates non-Abelian braiding by controlling the geometric-phase matrix in a photonic chip, observing its key characteristics crucial for realizing quantum logics. The experiment showed the swapping of photon dwell sites in both classical-light and single-photon experiments, indicating the potential for implementing non-Abelian physics in photonics. The proposed on-chip photonic system opens up possibilities for studying non-Abelian physics and may lead to the development of next-generation non-Abelian photonic devices.
Article
Multidisciplinary Sciences
Bivas Dutta, Vladimir Umansky, Mitali Banerjee, Moty Heiblum
Summary: This study gapped out the integer modes by interfacing the nu = 5/2 state with integer states nu = 2 and nu = 3, and measured the thermal conductance of the isolated-interface channel. The measured half-quantized thermal conductance confirms the non-abelian nature of the nu = 5/2 state and its particle-hole Pfaffian topological order.
Article
Multidisciplinary Sciences
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)
Article
Physics, Multidisciplinary
Naiqiao Pan, Tian Chen, Tingting Ji, Xiaoxue Tong, Xiangdong Zhang
Summary: This study reveals topological effects in higher-order topological insulators and demonstrates the use of three-dimensional non-Abelian Bloch oscillations as a tool to probe higher-order topological states.
COMMUNICATIONS PHYSICS
(2023)
Article
Physics, Multidisciplinary
Chaitanya Murthy, Arman Babakhani, Fernando Iniguez, Mark Srednicki, Nicole Yunger Halpern
Summary: This study extends the eigenstate thermalization hypothesis (ETH) to noncommuting charges and explains the slow convergence of time-averaged values to thermal averages in quantum systems.
PHYSICAL REVIEW LETTERS
(2023)
Article
Physics, Multidisciplinary
R. L. Willett, K. Shtengel, C. Nayak, L. N. Pfeiffer, Y. J. Chung, M. L. Peabody, K. W. Baldwin, K. W. West
Summary: In this study, we provide experimental evidence for the non-Abelian nature of excitations at v = 7/2 by measuring resistance oscillations in Fabry-Pérot interferometers using new high-purity heterostructures. We also examine the fermion parity of non-Abelian quasiparticles at both v = 5/2 and v = 7/2 for the first time. These findings support the utility of e/4 quasiparticles for topological quantum computation.
Article
Physics, Multidisciplinary
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.
Article
Materials Science, Multidisciplinary
Shayan Majidy, Aleksander Lasek, David A. Huse, Nicole Yunger Halpern
Summary: The pillars of quantum theory, entanglement and operators' noncommutation, have important implications in quantum thermodynamics and many-body physics. The Page curve quantifies the entanglement of a many-body system, and it is known that noncommuting charges can promote entanglement. This study bridges quantum thermodynamics to many-body physics by exploring the effects of charges' noncommutation on the Page curves, showing that the noncommuting-charge case has more entanglement.
Article
Physics, Multidisciplinary
Yue Liu, Kevin Slagle, Kenneth S. Burch, Jason Alicea
Summary: In this paper, we introduce a dynamic anyon-generation protocol that utilizes the universal edge physics to deposit non-Abelian anyons into holes in the spin liquid of Kitaev materials. The required bridge manipulations can be implemented by integrating the Kitaev material into magnetic tunnel junction arrays. This protocol reveals a path to topological qubit experiments in Kitaev materials at zero applied magnetic field.
PHYSICAL REVIEW LETTERS
(2022)
Article
Optics
Nora M. Bauer, Elias Kokkas, Victor Ale, George Siopsis
Summary: We study the emergence of topological matter in two-dimensional systems of neutral Rydberg atoms in Ruby lattices. While Abelian anyons have been predicted in such systems, non-Abelian anyons, which would form a substrate for fault-tolerant quantum computing, have not been generated. We obtain the topologically distinct ground states of the system numerically using the infinite Density Matrix Renormalization Group technique. We discuss how these topological states can be created using ancilla atoms of a different type. We show that a system with 2N + 2 punctures and an equal number of ancilla atoms leads to N logical qubits whose Hilbert space is determined by a set of stabilizing conditions on the ancilla atoms. Quantum gates can be implemented using a set of gates acting on the ancilla atoms that commute with the stabilizers and realize the braiding group of non-Abelian Ising anyons.
Article
Multidisciplinary Sciences
Seramika Ariwahjoedi, Freddy Permana Zen
Summary: This article addresses the relationship between the holonomy along a loop and the integral of the curvature form over the surface it encloses. By specifying the surface enclosed by the loop, the ambiguity is resolved. The derived result can be viewed as an alternative proof of the non-Abelian Stokes theorem.
Article
Materials Science, Multidisciplinary
Yan-Xing Yang, Yao Wang, Zhao-Feng Ding, A. D. Hillier, Lei Shu
Summary: Magnetic susceptibility, specific heat, and muon spin relaxation measurements were conducted on Tm3SbO7, a synthesized three-dimensional sandglass-type lattice. The results revealed crystal electrical field effect at different temperature ranges. The low-temperature paramagnetic behavior in Tm3SbO7 was explained by a transverse field Ising model, supported by quantitative simulation of specific heat data. Perturbation from impurities may also contribute to the observed low-temperature spin dynamics behavior.
Article
Materials Science, Multidisciplinary
Yu-Hsueh Chen, Ching-Yu Huang, Ying-Jer Kao
Summary: The research proposes a unified scheme to identify phase transitions out of the Z(2) Abelian topological order, including the transition to a non-Abelian chiral spin liquid. By computing the overlap of minimally entangled states, the study demonstrates the transition between Abelian and non-Abelian topological orders, as well as the transformation of anyons in the process. Furthermore, the research shows that both LG and SG states have infinite correlation length in the non-Abelian regime, consistent with the no-go theorem regarding the gaplessness of a chiral PEPS.
Article
Multidisciplinary Sciences
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.
Article
Physics, Multidisciplinary
Marcin Kalinowski, Nishad Maskara, Mikhail D. Lukin
Summary: Understanding topological matter is a difficult task in physical science, but programmable quantum simulators have emerged as a powerful tool for studying these systems. This study introduces and analyzes a new method for simulating topological matter using periodic driving. The researchers show that this approach can efficiently explore topological phases of matter and provide insights for further research on materials and lattice gauge theories by utilizing programmable quantum simulators.
News Item
Optics
Stefan Scheel, Alexander Szameit
Summary: Non-Abelian braiding, crucial for achieving topological quantum computation, is realized using an array of photonic integrated waveguides.
Article
Multidisciplinary Sciences
Tobias Biesenthal, Lukas J. Maczewsky, Zhaoju Yang, Mark Kremer, Mordechai Segev, Alexander Szameit, Matthias Heinrich
Summary: Conventional wisdom suggests that the insulating bulk is crucial for defining the topological properties of topological insulators. However, our study shows that even without an insulating bulk, fractal topological insulators composed exclusively of edge sites can still support topologically protected edge states. Additionally, we find that light transport in our topological fractal system exhibits higher velocities compared to the corresponding honeycomb lattice.
Article
Multidisciplinary Sciences
Andrea Steinfurth, Ivor Kresic, Sebastian Weidemann, Mark Kremer, Konstantinos G. Makris, Matthias Heinrich, Stefan Rotter, Alexander Szameit
Summary: This study theoretically and experimentally demonstrates the possibility of controlling light propagation and diffraction in inhomogeneous media through non-Hermitian tailoring.
Article
Multidisciplinary Sciences
Alex Dikopoltsev, Sebastian Weidemann, Mark Kremer, Andrea Steinfurth, Hanan Herzig Sheinfux, Alexander Szameit, Mordechai Segev
Summary: Anderson localization predicts a complete halt of transport in one-dimensional uncorrelated disordered systems, but in reality, a disordered physical system is always correlated. We experimentally demonstrate that Anderson localization can occur and be dominant even for wave packets residing entirely outside the spectral extent of the disorder. We observe strong localization for wave packets centered at twice the mean wave number of the disorder spectral extent and at low wave numbers in synthetic photonic lattices containing bandwidth-limited disorder.
Article
Multidisciplinary Sciences
Eran Lustig, Lukas J. Maczewsky, Julius Beck, Tobias Biesenthal, Matthias Heinrich, Zhaoju Yang, Yonatan Plotnik, Alexander Szameit, Mordechai Segev
Summary: The article introduces a method for achieving three-dimensional topological surface states in photonics, transforming a two-dimensional photonic waveguide array into a three-dimensional topological system by introducing the concepts of screw dislocation and synthetic dimensions, demonstrating protected edge state propagation in three dimensions.
Article
Optics
Max Ehrhardt, Sebastian Weidemann, Lukas J. Maczewsky, Matthias Heinrich, Alexander Szameit
Summary: The concept of synthetic dimension uses non-spatial degrees of freedom to mimic additional geometric dimensions, overcoming limitations in the number of effectively available dimensions. Photonics offers various technological possibilities for controlling photons and their degrees of freedom, enabling the experimental exploration of higher-dimensional physical phenomena. Mathematical mapping procedures have further enhanced the field of synthetic dimensions, allowing for higher synthetic dimensions and potential applications in quantum simulations. This article summarizes and discusses current experimental approaches for probing higher-dimensional physics using synthetic dimensions on different light-based platforms, and provides an outlook on promising future prospects in this field.
LASER & PHOTONICS REVIEWS
(2023)
Article
Optics
Tom A. W. Wolterink, Matthias Heinrich, Alexander Szameit
Summary: This study applies concepts from supersymmetry (SUSY) to construct two-dimensional (2D) systems with spectra identical to that of one-dimensional (1D) J(x) lattices, facilitating experimental fabrication of large-scale photonic circuits.
LASER & PHOTONICS REVIEWS
(2023)
Article
Nanoscience & Nanotechnology
Boquan Ren, Yaroslav V. Kartashov, Lukas J. Maczewsky, Marco S. Kirsch, Hongguang Wang, Alexander Szameit, Matthias Heinrich, Yiqi Zhang
Summary: We study linear and nonlinear higher-order topological insulators based on fractal waveguide arrays. These fractal structures have discrete rotational symmetries and multiple internal edges and corners in their optical potential landscape, and lack an insulating bulk. By systematically shifting the waveguides in the fractal arrays, we can form topological corner states at the outer corners of the array. These corner states can be efficiently excited by injecting Gaussian beams into the outer corner sites of the fractal arrays.
Article
Physics, Particles & Fields
Holger Gies, Abdol Sabor Salek
Summary: We investigate the renormalization flow of Hilbert-Palatini gravity to the lowest non-trivial order and find evidence of an asymptotically safe high-energy completion. By quantizing all degrees of freedom beyond Einstein gravity at a given order, we can track the differences between quantizing Hilbert-Palatini gravity and Einstein gravity, which are parametrized by fluctuations of an additional abelian gauge field. The critical properties of the ultraviolet fixed point of Hilbert-Palatini gravity are similar to those of the Reuter fixed point, but occur at a smaller Newton coupling and exhibit more stable higher order exponents.
EUROPEAN PHYSICAL JOURNAL C
(2023)
