‘O. what a world of unseen visions and heard silences, this insubstantial country of the mind! What ineffable essences, these touchless rememberings and unshowable reveries! And the privacy of it all! A secret theatre of speechless monologue and prevenient counsel, an invisible mansion of all moods, musings, and mysteries, an infinite resort of disappointments and discoveries. A whole kingdom w...

We show that the Jaynes principle is indeed a proper inference scheme when applied to compound systems and will correctly produce the entangled maximum entropy states compatible with appropriate data. This is accomplished by including the dispersion of the entanglement along with its mean value as constraints and an application of the uncertainty principle. We also construct a "thermodynamic-li...

Interpolating number-coherent states are new states of the radiation field which interpolate between number and coherent states, to which they reduce in appropriate limits. We study some fundamental features of the interaction of these new states with a atomic system in the framework of the Jaynes-Cummings model(JCM). The dynamical evolution of atomic population inversion, field entropy, the Q-...

We show that photon coincidence spectroscopy can provide an un-ambiguous signature of two atoms simultaneously interacting with a quantised cavity field mode. We also show that the single–atom Jaynes–Cummings model can be probed effectively via photon coincidence spectroscopy, even with deleterious contributions to the signal from two–atom events. In addition, we have explicitly solved the eige...

1. The Physics of Information 2 2. Thermodynamics 4 2.1. The laws 5 2.2. Free energy 8 3. Statistical mechanics 9 3.1. Definitions and postulates 10 3.2. Counting microstates for a system of magnetic spins 11 3.3. The Maxwell-Boltzmann-Gibbs distribution 12 3.4. Free energy revisited 13 3.5. Gibbs entropy 13 4. Nonlinear dynamics 15 4.1. The ergodic hypothesis 16 4.2. Chaos and limits to predic...

In this paper, we investigate one-time passing of a V -type three-level atom through single-mode interacting field in cavity. We extend the idea elementary Jaynes-Cummings model by assuming that vector belongs to Fock space. process, arrive at state which will be analyzed study nonclassicality evolved system.

A class of shape-invariant bound-state problems which represent transitions in a two-level system introduced earlier are generalized to include arbitrary energy splittings between the two levels. We show that the coupled-channel Hamiltonians obtained correspond to the generalization of the non-resonant Jaynes-Cummings Hamiltonian, widely used in quantized theories of laser. In this general cont...

We show that, to generate the statistical operator appropriate for a given system, and as an alternative to Jaynes’ MaxEnt approach, that refers to the entropy S, one can use instead the increments δS in S. To such an effect, one uses the macroscopic thermodynamic relation that links δS to changes in i) the internal energy E and ii) the remaining M relevant extensive quantities Ai, i = 1, . . ....

We adapt the method used by Jaynes to derive the equilibria of statistical physics to instead derive equilibria of bounded rational game theory. We analyze the dependence of these equilibria on the parameters of the underlying game, focusing on hysteresis effects. In particular, we show that by gradually imposing individual-specific tax rates on the players of the game, and then gradually remov...