Article
Materials Science, Multidisciplinary
Jinmin Yi, Xuzhe Ying, Lei Gioia, A. A. Burkov
Summary: Recent research has shown that it is possible to open a gap in a magnetic Weyl semimetal while preserving the chiral anomaly, charge conservation, and translational symmetries. This leads to the discovery of a nontrivial generalization of a non-Abelian fractional quantum Hall liquid to three dimensions. Additionally, a second fractional quantum Hall state exists in this case, with the same electrical and thermal Hall responses but a distinct fracton topological order.
Article
Materials Science, Multidisciplinary
Xiaofan Zhou, Jian-Song Pan, Suotang Jia
Summary: We investigated the many-body topological physics of interacting fermions in an extended Su-Schrieffer-Heeger (SSH) model using the density-matrix renormalization-group numerical method. The interaction-driven phase transition from the topological insulator phase to the charge density wave (CDW) phase was identified by analyzing various properties. The global phase diagram was mapped, showing nontrivial topological insulator, trivial insulator, and CDW phases. The phase transitions between the CDW phase and topologically trivial or nontrivial phases were found to be continuous, contrary to the first-order phase transitions in the interacting SSH model. The phase diagram of the interacting spinful SSH4 model with attractive or repulsive on-site spin interaction was also presented.
Article
Optics
Ze Zhang, Xinyue Long, Xiuzhu Zhao, Zidong Lin, Kai Tang, Hongfeng Liu, Xiaodong Yang, Xinfang Nie, Jiansheng Wu, Jun Li, Tao Xin, Keren Li, Dawei Lu
Summary: This paper proposes a method based on quantum scattering circuit to directly and efficiently measure the modular transformation matrix of topological orders. The method is successfully implemented in a nuclear magnetic resonance quantum simulator to simulate both Abelian and non-Abelian topological orders. This work opens up new possibilities for studying topological orders in circuit-based quantum simulators.
Article
Chemistry, Physical
Georgios G. Pyrialakos, Julius Beck, Matthias Heinrich, Lukas J. Maczewsky, Nikolaos Kantartzis, Mercedeh Khajavikhan, Alexander Szameit, Demetrios N. Christodoulides
Summary: In this study, the authors present a photonic realization of Floquet topological insulators that reveal topological phases supporting both Chern and anomalous topological states. They introduce a class of bimorphic Floquet topological insulators that utilize connective chains with periodically modulated on-site potentials to reveal rich topological features in the system. Experimental results using photonic waveguide lattices show a strongly confined helical edge state that can be set into motion or halted without compromising its adherence to individual lattice sites.
Article
Physics, Multidisciplinary
Misha Yutushui, Ady Stern, David F. Mross
Summary: This paper proposes an experiment to identify the topological order of the nu = 5/2 state through the measurement of electric conductance. The experiment uses a device that interfaces nu = 2, 5/2, and 3, allowing for the establishment or exclusion of the particle-hole symmetric Pfaffian topological order. It also distinguishes between the Moore-Read and anti-Pfaffian topological orders favored by numerical calculations.
PHYSICAL REVIEW LETTERS
(2022)
Article
Materials Science, Multidisciplinary
Gil Young Cho, Hee-Cheol Kim, Donghae Seo, Minyoung You
Summary: This paper presents a systematic method for classifying fermionic topological orders by explicitly building their modular data, which encodes the statistics between anyons. The authors classify the orders up to rank 10 and obtain both unitary and nonunitary modular data, including two new classes. They also determine the chiral central charges using a novel method that does not require explicit computations of modular extensions.
Article
Materials Science, Multidisciplinary
Gil Young Cho, Hee-Cheol Kim, Donghae Seo, Minyoung You
Summary: This research provides a method for classifying fermionic topological orders and successfully determines the modular data up to rank 10, including both unitary and nonunitary modular data. This contributes to a better understanding and application in topological quantum computers.
Article
Physics, Multidisciplinary
Haoran Xue, Ding Jia, Yong Ge, Yi-jun Guan, Qiang Wang, Shou-qi Yuan, Hong-xiang Sun, Y. D. Chong, Baile Zhang
Summary: The study reveals the helical modes induced by dislocations in three-dimensional topological insulators, and experimentally observes and numerically verifies these modes serving as robust waveguides in three-dimensional media.
PHYSICAL REVIEW LETTERS
(2021)
Article
Materials Science, Multidisciplinary
Bo Fu, Shun-Qing Shen
Summary: The coherence length of two Majorana zero-energy modes in a p-wave topological superconductor is inversely proportional to the superconducting order parameter. We studied the finite size effect of Majorana zero modes in a topological insulator/superconductor heterostructure with a vortex, and found that the coherence length of the two zero-energy modes at the terminals of a vortex line is independent of the superconducting order parameter, instead determined by the intrinsic properties of the topological insulator. This anomaly illustrates the topological distinction of the superconducting topological insulator, contrary to a p-wave topological superconductor.
Article
Physics, Multidisciplinary
Andrei A. Stepanenko, Mark D. Lyubarov, Maxim A. Gorlach
Summary: Topological phases allow for versatile control over localization in multiple dimensions and higher-order topological phases further extend the concept of topological protection. We predict and investigate the higher-order topological phase of photon pairs arising from effective photon-photon interaction, using an extended version of the Bose-Hubbard model.
PHYSICAL REVIEW LETTERS
(2022)
Article
Physics, Multidisciplinary
Jin-Tao Jin, Jian-Jian Miao, Yi Zhou
Summary: A family of 2D spin-1/2 models has been constructed to realize Ki-taev's sixteen-fold way of anyon theories. By defining a 1D path and performing the Jordan-Wigner transformation, the spin-1/2 model is equivalent to a model with nu species of Majorana fermions coupled to a static Z2 gauge field. The ground states on a torus are three-fold topologically degenerate when nu is an odd number and four-fold degenerate when nu is even.
Article
Physics, Multidisciplinary
Saubhik Sarkar, Chiranjib Mukhopadhyay, Abhijeet Alase, Abolfazl Bayat
Summary: This study investigates phase transitions in free-fermionic topological systems and finds that quantum enhanced sensing can be achieved using topological edge states. By analyzing two experimentally accessible models, the authors find that while symmetry-breaking and long-range entanglement are not essential, gap closing remains the major candidate for the ultimate source of quantum enhanced sensing. In addition, the authors propose a simple measurement strategy that achieves near-optimal precision for sensing, irrespective of the parameter value.
PHYSICAL REVIEW LETTERS
(2022)
Article
Physics, Multidisciplinary
Liat Nemirovsky, Moshe-Ishay Cohen, Yaakov Lumer, Eran Lustig, Mordechai Segev
Summary: Synthetic-space topological insulators are topological systems where at least one spatial dimension is replaced by a periodic arrangement of modes. These systems can enrich the physics of topological insulators by enabling higher dimensions and nonlocal coupling. This new mechanism can be realized in photonics and cold atoms, showcasing robust unidirectional propagation in the presence of defects and disorder.
PHYSICAL REVIEW LETTERS
(2021)
Article
Materials Science, Multidisciplinary
Morteza Aghaee, Arun Akkala, Zulfi Alam, Rizwan Ali, Alejandro Alcaraz Ramirez, Mariusz Andrzejczuk, Andrey E. Antipov, Pavel Aseev, Mikhail Astafev, Bela Bauer, Jonathan Becker, Srini Boddapati, Frenk Boekhout, Jouri Bommer, Tom Bosma, Leo Bourdet, Samuel Boutin, Philippe Caroff, Lucas Casparis, Maja Cassidy, Sohail Chatoor, Anna Wulf Christensen, Noah Clay, William S. Cole, Fabiano Corsetti, Ajuan Cui, Paschalis Dalampiras, Anand Dokania, Gijs de Lange, Michiel de Moor, Juan Carlos Estrada Saldana, Saeed Fallahi, Zahra Heidarnia Fathabad, John Gamble, Geoff Gardner, Deshan Govender, Flavio Griggio, Ruben Grigoryan, Sergei Gronin, Jan Gukelberger, Esben Bork Hansen, Sebastian Heedt, Jesus Herranz Zamorano, Samantha Ho, Ulrik Laurens Holgaard, Henrik Ingerslev, Linda Johansson, Jeffrey Jones, Ray Kallaher, Farhad Karimi, Torsten Karzig, Cameron King, Maren Elisabeth Kloster, Christina Knapp, Dariusz Kocon, Jonne Koski, Pasi Kostamo, Peter Krogstrup, Mahesh Kumar, Tom Laeven, Thorvald Larsen, Kongyi Li, Tyler Lindemann, Julie Love, Roman Lutchyn, Morten Hannibal Madsen, Michael Manfra, Signe Markussen, Esteban Martinez, Robert McNeil, Elvedin Memisevic, Trevor Morgan, Andrew Mullally, Chetan Nayak, Jens Nielsen, William Hvidtfelt Padkaer Nielsen, Bas Nijholt, Anne Nurmohamed, Eoin OFarrell, Keita Otani, Sebastian Pauka, Karl Petersson, Luca Petit, Dmitry I. Pikulin, Frank Preiss, Marina Quintero-Perez, Mohana Rajpalke, Katrine Rasmussen, Davydas Razmadze, Outi Reentila, David Reilly, Richard Rouse, Ivan Sadovskyy, Lauri Sainiemi, Sydney Schreppler, Vadim Sidorkin, Amrita Singh, Shilpi Singh, Sarat Sinha, Patrick Sohr, Tomas Stankevic, Lieuwe Stek, Henri Suominen, Judith Suter, Vicky Svidenko, Sam Teicher, Mine Temuerhan, Nivetha Thiyagarajah, Raj Tholapi, Mason Thomas, Emily Toomey, Shivendra Upadhyay, Ivan Urban, Saulius Vaitiekenas, Kevin Van Hoogdalem, David Van Woerkom, Dmitrii V. Viazmitinov, Dominik Vogel, Steven Waddy, John Watson, Joseph Weston, Georg W. Winkler, Chung Kai Yang, Sean Yau, Daniel Yi, Emrah Yucelen, Alex Webster, Ruichen Zhao
Summary: In this study, measurements and simulations of semiconductor-superconductor heterostructure devices were conducted to observe topological superconductivity and Majorana zero modes. The devices were optimized to ensure robustness against nonuniformity and disorder. Experimental results indicate the presence of a topological superconducting phase, which is a prerequisite for experiments involving Majorana zero modes fusion and braiding.
Article
Materials Science, Multidisciplinary
Nikita A. Olekhno, Alina D. Rozenblit, Andrei A. Stepanenko, Alexey A. Dmitriev, Daniel A. Bobylev, Maxim A. Gorlach
Summary: Topological transition mediated by quantum statistics is discovered for two-anyon and three-anyon excitations in a one-dimensional array, showing the existence of topological edge states governed by the quantum statistics of particles.
Article
Chemistry, Physical
Nicholas P. Bauman, Hongbin Liu, Eric J. Bylaska, Sriram Krishnamoorthy, Guang Hao Low, Christopher E. Granade, Nathan Wiebe, Nathan A. Baker, Bo Peng, Martin Roetteler, Matthias Troyer, Karol Kowalski
Summary: This paper investigates the use of the quantum phase estimation (QPE) algorithm in calculating high-energy excited states characterized by promotion of electrons occupying core-level shells. Results obtained with QPE are compared with various high-accuracy many-body techniques, discussing the feasibility of identifying challenging shake-up states and targeting excitations from specific centers in molecules. Additionally, the application of the lowest-order Trotter formula to reduce complexity of ansatz without affecting error is discussed.
JOURNAL OF CHEMICAL THEORY AND COMPUTATION
(2021)
Article
Chemistry, Multidisciplinary
Sergej Schuwalow, Niels B. M. Schroter, Jan Gukelberger, Candice Thomas, Vladimir Strocov, John Gamble, Alla Chikina, Marco Caputo, Jonas Krieger, Geoffrey C. Gardner, Matthias Troyer, Gabriel Aeppli, Michael J. Manfra, Peter Krogstrup
Summary: The study introduces a method to reliably determine critical parameters for engineering quantum devices, such as band offset, band bending profile, and number of occupied quantum well subbands. By directly measuring quantum well states and valence bands and core levels of interfaces, a better understanding of the band structure at semiconductor-metal and semiconductor-superconductor interfaces can be achieved.
Article
Multidisciplinary Sciences
Stephen P. Jordan, Siyuan Hu, Ignacio Rozada, Debra F. McGivney, Rasim Boyacioglu, Darryl C. Jacob, Sherry Huang, Michael Beverland, Helmut G. Katzgraber, Matthias Troyer, Mark A. Griswold, Dan Ma
Summary: Magnetic resonance fingerprinting (MRF) technology automates the design of pulse sequences with higher precision and shorter scan times. Unlike previous optimization efforts focused on statistical error models, the new approach simulates systematic errors for improved performance.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
(2021)
Article
Physics, Multidisciplinary
Kai Meinerz, Chae-Yeun Park, Simon Trebst
Summary: This study introduces a neural network based decoder that is scalable for large-scale quantum circuits, faster and more effective than traditional decoders, can significantly reduce error rates in practical applications, and increase the actual error threshold to more than 15% above conventional error correction algorithms, even in the presence of measurement errors.
PHYSICAL REVIEW LETTERS
(2022)
Review
Physics, Multidisciplinary
Simon Trebst, Ciaran Hickey
Summary: In transition-metal compounds, Kitaev materials with spin-orbit entanglement, electronic correlations, and crystal-field effects have been synthesized, leading to various forms of topological quantum matter. The theoretical and experimental exploration of these materials is of great interest for unconventional forms of magnetism.
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS
(2022)
Article
Multidisciplinary Sciences
Christoph Berke, Evangelos Varvelis, Simon Trebst, Alexander Altland, David P. DiVincenzo
Summary: In this study, the stability of quantum processors developed by IBM, Delft, and Google consortia is investigated using the techniques of many-body localization theory. The results show that some of these platforms are dangerously close to an uncontrollable chaotic phase, highlighting the need for a balance between intentional disorder and nonlinear resonator coupling to avoid chaotic instabilities.
NATURE COMMUNICATIONS
(2022)
Article
Physics, Condensed Matter
Marc K. Ritter, Dominik Kiese, Tobias Muller, Fabian B. Kugler, Ronny Thomale, Simon Trebst, Jan von Delft
Summary: The pseudofermion functional renormalization group (pffRG) is a computational method for determining zero-temperature phase diagrams of frustrated quantum magnets. Recent advances in the method include the extension of the commonly used Katanin truncation to include multiloop corrections, resulting in more accurate results. By comparing the results produced by two independently developed solvers, the numerical robustness of the multiloop pffRG codes is confirmed.
EUROPEAN PHYSICAL JOURNAL B
(2022)
Article
Physics, Condensed Matter
Lasse Gresista, Dominik Kiese, Simon Trebst
Summary: This paper discusses a numerical renormalization group scheme based on a pseudo-fermion representation to study the formation of spin-valley ordered and unconventional spin-valley liquid states at zero temperature. By deriving symmetry constraints on the flow equations, the numerical efficiency is significantly improved. Using a diagonal SU(2)(spin) circle times U(1)(valley) model on the triangular lattice as an example, a rich phase diagram of spin and valley ordered phases is demonstrated.
EUROPEAN PHYSICAL JOURNAL B
(2022)
Article
Multidisciplinary Sciences
Andrew J. Daley, Immanuel Bloch, Christian Kokail, Stuart Flannigan, Natalie Pearson, Matthias Troyer, Peter Zoller
Summary: Quantum computing has gained an advantage over classical computers, paving the way for solving practical problems that cannot be tackled by traditional supercomputers. Quantum simulation, especially in relation to materials science, high-energy physics, and quantum chemistry, shows significant potential for real-world applications.
Article
Quantum Science & Technology
Mikhail Petrov, Igor Radchenko, Damian Steiger, Renato Renner, Matthias Troyer, Vadim Makarov
Summary: Researchers have conducted a thorough analysis of the commercial quantum-optical random number generator from ID Quantique and found that over 99% of its output data is generated through physically random processes, demonstrating its unpredictability. Additionally, they discovered minor non-random contributions from detector electronics and an internal processing algorithm.
EPJ QUANTUM TECHNOLOGY
(2022)
Article
Physics, Multidisciplinary
Dominik Kiese, Francesco Ferrari, Nikita Astrakhantsev, Nils Niggemann, Pratyay Ghosh, Tobias Mueller, Ronny Thomale, Titus Neupert, Johannes Reuther, Michel J. P. Gingras, Simon Trebst, Yasir Iqbal
Summary: This study investigates the quantum phase diagram of the spin S = 1/2 Heisenberg antiferromagnet on the kagome lattice. It reveals that the ground state of the nearest-neighbor antiferromagnet transitions from U(1) Dirac spin liquid to a pinwheel valence bond crystal with half moons in its structure factor at intermediate coupling strengths, and to a collinear magnetically ordered state characterized by starlike patterns at larger couplings. This finding is important for further understanding and developing highly tunable Heisenberg antiferromagnets.
PHYSICAL REVIEW RESEARCH
(2023)
Article
Physics, Multidisciplinary
Jackson Pitts, Finn Lasse Buessen, Roderich Moessner, Simon Trebst, Kirill Shtengel
Summary: The Heisenberg antiferromagnet on the kagome lattice is a well-studied system that exhibits large ground-state degeneracies and order-by-disorder phenomena. When chiral spin interactions are added to the Heisenberg model, a rich set of phenomena including chiral quantum spin liquids can be explored. In this study, the classical variant of the chiral kagome model is considered and it is found to possess a remarkably large and structured ground-state manifold, which combines continuous and discrete degrees of freedom.
PHYSICAL REVIEW RESEARCH
(2022)
Article
Physics, Multidisciplinary
Dominik Kiese, Tobias Mueller, Yasir Iqbal, Ronny Thomale, Simon Trebst
Summary: Renormalization group methods are mature tools for investigating the low-energy properties of correlated quantum many-body systems. Functional renormalization group continuously evolves a microscopic model action to an effective low-energy action via a functional flow equation, and approximation schemes are used for computation. In this paper, we implement the multiloop FRG method in the pseudofermion functional renormalization group framework for interacting quantum spin systems and discuss the complexities of the flow equations and refinements to the integration scheme. Benchmarking is done by analyzing antiferromagnetic Heisenberg models on different lattice types and comparing with existing results. These methodological refinements improve the numerical tool of choice for exploring frustrated quantum magnetism in higher dimensions.
PHYSICAL REVIEW RESEARCH
(2022)
Article
Quantum Science & Technology
Mario S. Koenz, Wolfgang Lechner, Helmut G. Katzgraber, Matthias Troyer
Summary: This study investigates the impact of planar embedding schemes on the time-to-solution of all-to-all-connected quadratic binary optimization problems using simulated quantum annealing on classical hardware. Results suggest that standard analog quantum annealing hardware is at a disadvantage in terms of solution time overhead compared to classical digital annealers, serving as a benchmark for improvements in the standard quantum annealing protocol.
Article
Physics, Multidisciplinary
Vera von Burg, Guang Hao Low, Thomas Haener, Damian S. Steiger, Markus Reiher, Martin Roetteler, Matthias Troyer
Summary: This research presents a state-of-the-art analysis of accurate energy measurements on a quantum computer for computational catalysis, using improved quantum algorithms. The study focuses on the potential applications of universal quantum computers in addressing strong electron correlation issues in computational chemistry and materials science.
PHYSICAL REVIEW RESEARCH
(2021)
