Topological Invariants of Gapped Quantum Lattice Systems

Topological and Analytical Aspects of Condensed Matter Physics

ways of how to generalize topological invariants to systems without an energy gap ... states, in gapped quantum systems. In the periodic setting, the ...

Half-integer Topological Invariant and its Application in Condensed ...

tigate the effect of the quantum anomaly in lattice systems, and the con- ... connection to the traditional topological invariants in gapped ...

topological phase of matter in nLab

... system invariant. This is vaguely reminiscent of how topology ... Systems: towards quantum computations [webpage]. Last revised on June ...

ZQ topological invariants for Polyacetylene, Kagome and Pyrochlore ...

Adiabatic ZQ invariants by quantized Berry phases are defined for gapped electronic systems in d-dimensions (Q=d+1). This series includes ...

Topological Classification and Real-Space Invariants

invariant gapped non-interacting systems, based on topological ... Abstractly, we say a gapped quantum system has a symmetry group G, if there is ...

Topological Invariant - an overview | ScienceDirect Topics

The topological classification of general gapped many body ... These three topological invariants can all be thought of as layering 2D quantum Hall systems ...

Many-body topological invariants from randomized measurements ...

There is an increasing interest in realizing topological quantum phases in synthetic quantum systems (1–5), including ultracold atoms in ...

Non-Hermiticity and topological invariants of magnon Bogoliubov ...

In particular, integer quantum Hall systems are classified by integer ... Table 6. Open in new tab. The topological invariants of the diamond lattice system ...

‪Lev Spodyneiko‬ - ‪Google Scholar‬

Thermal Hall conductance and a relative topological invariant of gapped two-dimensional systems. A Kapustin, L Spodyneiko. Physical Review B 101 (4), 045137, ...

Detection of Zak phases and topological invariants in a chiral ...

... systems. Similar content being viewed by others. Manifestation of the quantum metric in chiral lattice systems. Article Open access 05 August ...

Topological Phases of Quantum Lattice Systems and Higher Berry ...

In these lectures, I will describe recent advances in defining the space of gapped lattice systems and the implications for the classification ...

Topological Phases of Interacting Quantum Systems

to demonstrate the stability of the topological invariants beyond the spectral gap regime. ... within gapped phases of quantum lattice systems, Commun. Math. Phys ...

Quantum cluster approach to the topological invariants in correlated ...

We detect the topological properties of Chern insulators with strong Coulomb interactions by use of cluster perturbation theory and variational cluster ...

Asymptotic Correlations in Gapped and Critical Topological Phases ...

Quantum Systems Mathematics · Spin Chains Mathematics · Order Parameter Mathematics · Topological Invariants Mathematics · operators Physics & ...

From gapped phases of matter to Topological Quantum Field Theory ...

What is the corresponding degree-2 class on the parameter space of a family of 0d invertible lattice systems? M V. Berry (1984) noticed that to ...

Many-body topological invariants from randomized measurements ...

... Topological quantum matter with ultracold gases in optical lattices. ... topological phases in one-dimensional quantum spin systems. Phys ...

Bruno Nachtergaele - Stability of the Bulk Gap for Quantum Lattice ...

... gap above the ground state of frustration-free quantum spin systems that satisfy a standard local topological quantum order condition. In ...

Nikita Sopenko: Invertible states of quantum lattice spin systems and ...

Nikita Sopenko: Invertible states of quantum lattice spin systems and their invariants. 577 views · 3 years ago ...more ...

Anton Kapustin – Wikipédia, a enciclopédia livre

Local Noether theorem for quantum lattice systems and topological invariants of gapped states, 2022; Electric-Magnetic Duality And The Geometric ...

Publications - SciPost

... systems, with potential topological quantum computing applications. One ... topological invariant. This implies that topologically non-trivial ...