We introduce a family of quantum Rényi fidelities and discuss their symmetry resolution. We
express the symmetry-resolved fidelities as Fourier transforms of charged fidelities, for which …

The past two decades have witnessed a surge of interest in exploring correlation and
coherence measures to investigate quantum phase transitions (QPTs). Here, motivated by …

Operator square roots are ubiquitous in theoretical physics. They appear, for example, in the
Holstein-Primakoff representation of spin operators and in the Klein-Gordon equation. Often …

Topological order, reflected in long-range patterns of entanglement, is quantified by the
topological entanglement entropy γ. We show that for gapped quantum spin liquids it is …

Herein, aspects of entanglement and fidelity and their use in condensed matter systems are
briefly reviewed. Both static and time-dependent situations are considered. Different …

We study the quantum phase transitions in the two-dimensional spin-orbit models in terms of
fidelity susceptibility and reduced fidelity susceptibility. An order-to-order phase transition is …

Fidelity has been widely used to detect various types of quantum phase transitions (QPTs).
However, challenges remain in locating the transition points with precision in several …

We study scaling behavior of the geometric tensor χ α, β (λ 1, λ 2) and the fidelity
susceptibility χ F in the vicinity of a quantum multicritical point (MCP) using the example of a …

The Kitaev model on the honeycomb lattice is a paradigmatic system known to host a wealth
of nontrivial topological phases and Majorana edge modes. In the static case, the Majorana …

Topological insulators and topological superconductors display various topological phases
that are characterized by different Chern numbers or by gapless edge states. In this work we …