In these lecture notes, partly based on a course taught at the Karpacz Winter School in
March 2014, we explore the close connections between non-adiabatic response of a system …

In this work, we propose a common vector field to study the thermodynamic topology of the
Davies type and Hawking-Page phase transitions. Existing literature has shown that …

Describing and, to a certain extent, understanding the concept of complexity has been
investigated in a variety of research fields. Various ad hoc formal definitions and …

We show that the characteristic function of the probability distribution associated with the
change of an observable in a two-point measurement protocol with a perturbation can be …

In this work, we study the thermodynamic geodesics of 4D asymptotically anti-de Sitter black
holes in the context of the geometrothermodynamics (GTD) type II metric. We construct GTD …

We study Nielsen complexity and Fubini-Study complexity for the transverse XY spin chain
and establish their nonanalyticity at the critical lines. We obtain the scaling behavior of both …

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 …

In this study, we advance the understanding of thermodynamic properties and phase
transitions in rotating anti-de Sitter (AdS) black holes by applying the Kaniadakis (KD) …

Information theoretic geometry near critical points in classical and quantum systems is well
understood for exactly solvable systems. Here, we show that renormalization group flow …

Thermodynamic fluctuation metrics in Ruppeiner's formalism are worked out for Kerr-AdS
black holes in the extended state space. The implications of constraints upon the state space …