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We investigate the topological properties of the bond order wave phase arising in the extended Fermi-Hubbard model. In particular, we uncover a topological sector, which remained elusive in previous finite-size numerical studies due to…

The discovery of topological phases in condensed matter systems has changed the modern conception of phases of matter. The global nature of topological ordering makes these phases robust and hence promising for applications. However, the…

We use a nonperturbative extended contractor renormalization (ENCORE) method for engineering quantum devices for the implementation of topologically protected quantum bits described by an effective quantum dimer model on the triangular…

Other Condensed Matter · Physics 2008-07-03 A. Fabricio Albuquerque , Helmut G. Katzgraber , Matthias Troyer , Gianni Blatter

We propose a superconducting quantum circuit whose low-energy degrees of freedom are described by the sine-Gordon (SG) quantum field theory. For suitably chosen parameters, the circuit hosts a symmetry protected topological (SPT) phase…

Quantum Physics · Physics 2025-03-18 Parameshwar R. Pasnoori , Patrick Azaria , Ari Mizel

Constructing systems that exhibit time-scales much longer than those of the underlying components, as well as emergent dynamical and collective behavior, is a key goal in fields such as synthetic biology and materials self-assembly.…

Statistical Mechanics · Physics 2021-07-22 Evelyn Tang , Jaime Agudo-Canalejo , Ramin Golestanian

We consider non-chiral symmetry-protected topological phases of matter in two spatial dimensions protected by a discrete symmetry such as $\mathbb{Z}_K$ or $\mathbb Z_K \times \mathbb Z_K $ symmetry. We argue that modular…

Strongly Correlated Electrons · Physics 2015-06-15 Olabode M. Sule , Xiao Chen , Shinsei Ryu

The proposition that band geometry alone can protect optical states against disorder has proven not merely theoretically elegant but experimentally incontrovertible. A key attribute of photonic topological systems is their capacity to…

We consider topological protection mechanisms in dissipative quantum systems in the presence of quenched disorder, with the intent to prolong coherence times of qubits. The physical setting is a network of qubits and dissipative cavities…

Quantum Physics · Physics 2021-07-28 Yu Yao , Henning Schlömer , Zhengzhi Ma , Lorenzo Campos Venuti , Stephan Haas

Building on advances in topological photonics and computational optimization, we inversedesign a periodic dielectric structure surrounding a chain of interacting qubits, emulating an extended, dimerized Su-Schrieffer-Heeger (SSH) excitonic…

The on-site potentials may break the symmetry of a system, resulting in the loss of its original topology protected by the symmetry. In this work, we study the counteracting effect of non-Hermitian terms on real potentials, resulting in…

Strongly Correlated Electrons · Physics 2025-06-09 E. S. Ma , K. L. Zhang , Z. Song

Topological phases of matter are defined by their nontrivial patterns of ground-state quantum entanglement, which is irremovable so long as the excitation gap and the protecting symmetries, if any, are maintained. Recent studies on…

Strongly Correlated Electrons · Physics 2019-03-25 Dominic V. Else , Hoi Chun Po , Haruki Watanabe

While tremendous research has revealed that symmetry enriches topological phases of matter, more general principles that protect topological phases have yet to be explored. In this Letter, we elucidate the roles of subspaces in…

Mesoscale and Nanoscale Physics · Physics 2025-09-16 Kenji Shimomura , Ryo Takami , Daichi Nakamura , Masatoshi Sato

Higher-order topological states that possess gapped bulk energy bands and exotic topologically protected boundary states with at least two dimension lower than the bulk have significantly opened a new perspective for understanding of…

Quantum Gases · Physics 2023-07-31 Zhoutao Lei , Linhu Li , Yuangang Deng

Topological edge states in gaps of non-Hermitian systems are robust due to topological protection. Using the non-Hermitian Floquet Su-Schrieffer-Heeger model, we show that this robustness can break down: edge states may be suppressed by…

Quantum Physics · Physics 2025-10-13 Hong Wu , Xue-Min Yang , Hui Liu

We demonstrate the existence of prethermal discrete time crystals whose sub-harmonic response is entirely localized to zero-dimensional corner modes. Within the exponentially long prethermal regime, we show that the robustness of these…

Quantum Physics · Physics 2024-06-05 Si Jiang , Dong Yuan , Wenjie Jiang , Dong-Ling Deng , Francisco Machado

Topological insulators and superconductors at finite temperature can be characterized by the topological Uhlmann phase. However, a direct experimental measurement of this invariant has remained elusive in condensed matter systems. Here, we…

Quantum Physics · Physics 2018-02-14 O. Viyuela , A. Rivas , S. Gasparinetti , A. Wallraff , S. Filipp , M. A. Martin-Delgado

Topological phases and the associated multiple edge states are studied for parity and time-reversal $(\mathcal{PT})$ symmetric non-Hermitian open quantum systems by constructing a non-unitary three-step quantum walk retaining $\mathcal{PT}$…

Quantum Physics · Physics 2020-09-14 Makio Kawasaki , Ken Mochizuki , Norio Kawakami , Hideaki Obuse

Topological phases, edge states, and flat bands in synthetic quantum systems are a key resource for topological quantum computing and noise-resilient information processing. We introduce a scheme based on step-dependent quantum walks on…

Quantum Physics · Physics 2026-04-07 Dinesh Kumar Panda , Colin Benjamin

Topological phases have greatly improved our understanding of modern conception of phases of matter that go beyond the paradigm of symmetry breaking and are not described by local order parameters. Instead, characterization of topological…

Quantum Physics · Physics 2022-08-12 Zhihuang Luo , Wenzhao Zhang , Xinfang Nie , Dawei Lu

We study the zero-temperature phase diagram of a two dimensional square lattice loaded by spinless fermions, with nearest neighbor hopping and algebraically decaying pairing. We find that for sufficiently long-range pairing, new phases, not…

Strongly Correlated Electrons · Physics 2018-02-14 L. Lepori , D. Giuliano , S. Paganelli