We investigate eigenvalue perturbations for a class of infinite tridiagonal matrices which define unbounded self-adjoint operators with discrete spectrum. In particular we obtain explicit estimates the convergence radius perturbation series and error Quantum Rabi Model including resonance case. also give expressions coefficients near in order to evaluate quality rotating wave approximation due ...

The theoretical model developed by Jaynes and Cummings to describe interaction between light a two-level atom became paradigm of atomic optical physics. Here, the authors demonstrate that this can be realized in pure condensed matter system electrons trapped on surface liquid helium. In particular, they show motional states such an electron, when it is placed strong magnetic field, realize prot...

We discuss and motivate the form of the generator of a nonlinear quantum dynamical group “designed” so as to accomplish a unification of quantum mechanics (QM) and thermodynamics. We call this nonrelativistic theory Quantum Thermodynamics (QT). Its conceptual foundations differ from those of (von Neumann) quantum statistical mechanics (QSM) and (Jaynes) quantum information theory (QIT), but for...

This article resolves a longstanding question in the axiomatisation of entropy as proposed by Shannon and highlighted in renewed concerns expressed by Jaynes. We introduce a companion measure of a probability distribution that we suggest be called the extropy of the distribution. The entropy and the extropy of an event distribution are identical. However, this identical measure bifurcates into ...

[1] K. Jacobs. Stochastic Processes for Physicists: Understanding Noisy Systems. CUP, Cambridge, 2010. [2] Sze M. Tan, Colin Fox, and Geoff Nicholls. Inverse problems. Available at: http://home.comcast.net/ ̃szemengtan/, 1996. [3] Sze M. Tan. Linear systems. This text is made freely available by the author at: http://home.comcast.net/ ̃szemengtan/, 1996. [4] E. T. Jaynes. Probability Theory: The ...

Enßlin and Weig [Phys. Rev. E 82, 051112 (2010)] have introduced a "minimum Gibbs free energy" (MGFE) approach for estimation of the mean signal and signal uncertainty in Bayesian inference problems: it aims to combine the maximum a posteriori (MAP) and maximum entropy (ME) principles. We point out, however, that there are some important questions to be clarified before the new approach can be ...