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 …

The multiparticle entanglement in the Lipkin-Meshkov-Glick model has been discussed
extensively in this paper. Measured by the global entanglement and its generalization, our …

We study the quantum metric tensor and its scalar curvature for a particular version of the
Lipkin-Meshkov-Glick model. We build the classical Hamiltonian using Bloch coherent states …

We study the quantum fidelity approach to characterize thermal phase transitions.
Specifically, we focus on the mixed-state fidelity induced by a perturbation in temperature …

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 …

We study the Berry phase of the ground state and excited states in the Lipkin model. Using
the Schwinger representation of spin operators, we get the expression for the Berry phase of …

We review quantum phase transitions of spin systems in transverse magnetic fields taking
the examples of the spin-1/2 Ising and XY models in a transverse field. Beginning with an …

Quantum phase transition is one of the main interests in the field of condensed matter
physics, while geometric phase is a fundamental concept and has attracted considerable …

We investigate quantum phase transitions, quantum criticality, and Berry phase for the
ground state of an ensemble of non-interacting two-level atoms embedded in a non-linear …

We discuss the finite size behavior of the adiabatic Dicke model, describing the collective
coupling of a set of N two-level atoms (qubits) to a faster (electromagnetic) oscillator mode …