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 …

Zak phase, that is, the Berry phase acquired during an adiabatic motion of a Bloch particle
across the Brillouin zone, provides a measure of the topological invariant of Bloch bands in …

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 …

The notion of geometric phase has been recently introduced to analyze the quantum phase
transitions of many-body systems from the geometrical perspective. In this work, we study …

We study the geometric phase for the ground state of a generalized one-dimensional non-
Hermitian quantum XY model, which has transverse-field-dependent intrinsic rotation-time …

The many-body Berry phase formula for macroscopic polarization is approximated by a sum
of natural orbital geometric phases with fractional occupation numbers accounting for the …

By means of the Loschmidt Echo (LE) and Berry Phase (BP) calculations, quantum phase
transition (QPT) of an XY spin chain with three-site interaction (α) in a transverse magnetic …

The geometric phase associated with a many body ground state exhibits a signature of
quantum phase transition. In this context, we have studied the behavior of the geometric …

We investigate the quantum critical behavior in the XY spin chain with multiple interaction by
means of geometric phase (GP). Near the critical point, the key ingredients of the quantum …

By calculating the Berry Phase (BP) of a central spin, the quantum criticality of the
surrounding environment described by an XY spin chain with the three-site interaction in a …