Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Bulletin of the American Physical Society

New indicators of quantum phase transitions in several exactly solvable critical systems

Ferdi Altintas, Resul Eryiğit

Published Mar 19, 2013• 0 citations
OpenAlex

Related papers

Correlation and nonlocality measures as indicators of quantum phase transitions in several critical systems

Ferdi Altintas, Resul Eryigit

arXiv:1202.1495•Annals of Physics•Sep 23, 2012•56 citations

On exactly solvable models for systems with quantum-phase transitions

Alvaro Caramico D’Auria, L. De Cesare, Ileana Rabuffo

Physica A Statistical Mechanics and its Applications•May 1, 2002•0 citations

New indicators of quantum phase transitions in several condensed-matter systems

Ming‐Liang Hu, Xiao-Qiang Xi

Physica B Condensed Matter•Apr 15, 2009•0 citations

Ion-trap simulation of the quantum phase transition in an exactly solvable model of spins coupled to bosons

Gian Luca Giorgi, Simone Paganelli, Fernando Galve

It is known that arrays of trapped ions can be used to efficiently simulate a variety of many-body quantum systems. Here we show how it is possible to build a model representing a spin chain interacting with bosons that is exactly solvable. The exact spectrum of the model at zero temperature and the ground-state properties are studied. We show that a quantum phase transition occurs when the coupling between spins and bosons reaches a critical value, which corresponds to a level crossing in the energy spectrum. Once the critical point is reached, the number of bosonic excitations in the ground state, which can be assumed as an order parameter, starts to be different from zero. The population of the bosonic mode is accompanied by a macroscopic magnetization of the spins. This double effect could represent a useful resource for phase transition detection since a measure of the phonon can give information about the phase of the spin system. A finite-temperature phase diagram is also given in the adiabatic regime.

arXiv:1002.0252•Physical Review A•May 27, 2010•10 citations

Quantum Phase Transition and Critical Phenomena

Amit Dutta, Chakrabarti, B K

•Jan 1, 1998•0 citations

Fidelity susceptibility at the Lifshitz transition between the noninteracting topologically distinct quantum critical points

Xue-Jia Yu, Weilin Li

By constructing an exactly solvable spin model, we investigate the critical behaviors of transverse-field Ising chains interpolated with cluster interactions, which exhibit various types of topologically distinct Ising critical points. Using fidelity susceptibility as an indicator, we establish the global phase diagram, including ferromagnetic, trivial paramagnetic, and symmetry-protected topological phases. Different types of critical points exist between these phases, encompassing both topologically trivial and nontrivial Ising critical points, as well as Gaussian critical points. Importantly, we demonstrate the existence of a Lifshitz transition between these topologically distinct Ising critical points, with central charge and critical exponents determined through finite-size scaling. This work serves as a valuable reference for further research on phase transitions within the gapless quantum phase of matter.

arXiv:2403.03716•Physical review. B./Physical review. B•Jul 11, 2024•22 citations
It is known that arrays of trapped ions can be used to efficiently simulate a variety of many-body quantum systems. Here we show how it is possible to build a model representing a spin chain interacting with bosons that is exactly solvable. The exact spectrum of the model at zero temperature and the ground-state properties are studied. We show that a quantum phase transition occurs when the coupling between spins and bosons reaches a critical value, which corresponds to a level crossing in the energy spectrum. Once the critical point is reached, the number of bosonic excitations in the ground state, which can be assumed as an order parameter, starts to be different from zero. The population of the bosonic mode is accompanied by a macroscopic magnetization of the spins. This double effect could represent a useful resource for phase transition detection since a measure of the phonon can give information about the phase of the spin system. A finite-temperature phase diagram is also given in the adiabatic regime.
By constructing an exactly solvable spin model, we investigate the critical behaviors of transverse-field Ising chains interpolated with cluster interactions, which exhibit various types of topologically distinct Ising critical points. Using fidelity susceptibility as an indicator, we establish the global phase diagram, including ferromagnetic, trivial paramagnetic, and symmetry-protected topological phases. Different types of critical points exist between these phases, encompassing both topologically trivial and nontrivial Ising critical points, as well as Gaussian critical points. Importantly, we demonstrate the existence of a Lifshitz transition between these topologically distinct Ising critical points, with central charge and critical exponents determined through finite-size scaling. This work serves as a valuable reference for further research on phase transitions within the gapless quantum phase of matter.