Classical Hamiltonian systems with balanced loss and gain are considered in this review. A
generic Hamiltonian formulation for systems with space-dependent balanced loss and gain …

A bstract Krylov complexity is a measure of operator growth in quantum systems, based on
the number of orthogonal basis vectors needed to approximate the time evolution of an …

The Lagrange formalism is developed for Bateman oscillators, which includes both damped
and amplified systems, and a novel method to derive the Caldirola-Kanai and null …

We show how the notion of pseudo-bosons, originally introduced as operators acting on
some Hilbert space, can be extended to a distributional settings. In doing so, we are able to …

Today, two of the most prosperous fields of physics are quantum computing and spintronics.
In both, the loss of information and dissipation play a crucial role. In the present work, we …

Doing research is fun! I like when I find something unclear, and I like more when I
understand what is going on. The point is that, quoting George Bernard Shaw, science never …

We consider a model of coupled oscillators which can be seen as a gain and loss system. In
the attempt to quantize the system, we propose a new definition of multiplication between …

In information transfer, the dissipation of a signal is of crucial importance. The feasibility of
reconstructing the distorted signal depends on the related permanent loss. Therefore …

In a recent paper, Deguchi et al.(2019), the authors proposed an analysis of the damped
quantum harmonic oscillator in terms of ladder operators. This approach was shown to be …

In this paper, an alternative approach for constructing Lagrangians for driven and undriven
linearly damped systems is proposed, by introducing a redefined time coordinate and an …