Geometry of quantum phase transitions

A Carollo, D Valenti, B Spagnolo - Physics Reports, 2020 - Elsevier
In this article we provide a review of geometrical methods employed in the analysis of
quantum phase transitions and non-equilibrium dissipative phase transitions. After a …

Genuine quantum correlations in quantum many-body systems: a review of recent progress

G De Chiara, A Sanpera - Reports on Progress in Physics, 2018 - iopscience.iop.org
Quantum information theory has considerably helped in the understanding of quantum many-
body systems. The role of quantum correlations and in particular, bipartite entanglement …

Nonadiabatic holonomic quantum computation with dressed-state qubits

ZY Xue, FL Gu, ZP Hong, ZH Yang, DW Zhang, Y Hu… - Physical Review …, 2017 - APS
Implementing holonomic quantum computation is a challenging task as it requires
complicated interaction among multilevel systems. Here we propose to implement …

Scaling of genuine multiparticle entanglement close to a quantum phase transition

M Hofmann, A Osterloh, O Gühne - Physical Review B, 2014 - APS
We investigate the scaling and spatial distribution of genuine multiparticle entanglement in
three-and four-spin reduced states of the one-dimensional XY model at the quantum phase …

Berry Phase of Two Impurity Qubits as a Signature of Dicke Quantum Phase Transition

W Lu, C Zhai, Y Liu, Y Song, J Yuan, S Tang - Photonics, 2022 - mdpi.com
In this paper, we investigate the effect of the Dicke quantum phase transition on the Berry
phase of the two impurity qubits. The two impurity qubits only have dispersive interactions …

Momentum-space cigar geometry in topological phases

G Palumbo - The European Physical Journal Plus, 2018 - Springer
In this paper, we stress the importance of momentum-space geometry in the understanding
of two-dimensional topological phases of matter. We focus, for simplicity, on the gapped …

Entanglement duality in spin-spin interactions

V Azimi-Mousolou, A Bergman, A Delin, O Eriksson… - Physical Review A, 2022 - APS
We examine entanglement of thermal states for spin-1/2 dimers in external magnetic fields.
Entanglement transition in the temperature-magnetic-field plane demonstrates a duality in …

Measuring multipartite quantum correlations by thermodynamic work extraction

T Yada, N Yoshioka, T Sagawa - arXiv preprint arXiv:2407.04058, 2024 - arxiv.org
Quantum correlations are at the core of quantum mechanics and play a crucial role in
various fields. While bipartite quantum correlations have been extensively studied …

Bell length in the entanglement geometry

D Fiscaletti, I Licata - International Journal of Theoretical Physics, 2015 - Springer
A geometric approach to entangled qubit pairs is outlined via Bohm Theory. An entropic
quantum correlation distance is here proposed as a mark of the non-local “handshaking” …

Geometric phase and multipartite entanglement of Rydberg atom chains

CY Wang - arXiv preprint arXiv:2407.14854, 2024 - arxiv.org
We investigate the behavior of geometric phase (GP) and geometric entanglement (GE), a
multipartite entanglement measure, across quantum phase transitions in Rydberg atom …