We investigate the squeezing and higher-order properties of photon-added coherent states propagating through a Kerr-like medium, particularly close to instants revivals fractional state. The Wigner functions at these are obtained, extent non-classicality quantified.

Several nonclassical effects displayed by wave packets subject to generic nonlinear Hamiltonians can be identified and assessed directly from tomograms without attempting reconstruct the Wigner function or density matrix explicitly.We have demonstrated this for both single-mode bipartite systems.We shown that a wide spectrum of such as revival phenomena, quadrature squeezing Hong-Mandel Hillery type higherorder in system double-well Bose-Einstein condensate obtained appropriate...

We have investigated a wide range of nonclassical behavior exhibited by tripartite cavity optomechanical system comprising two-level atom placed inside Fabry-P\'{e}rot type optical with vibrating mirror attached to one end. shown that the atom's subsystem von Neumann entropy collapses its maximum allowed value over significant time interval during dynamical evolution. This feature is sensitive nature initial state, specific form intensity-dependent coupling, and parameters. The extent...

We examine the dynamics of subsystems bipartite and tripartite quantum systems with nonlinear Hamiltonians.We consider two models which capture generic features open systems: a three-level atom interacting single-mode radiation field, field modes do not directly interact each other.The entanglement specific initially unentangled states atom-field system is examined through time-varying subsystem von Neumann entropy (SVNE).The counterparts near-revivals fractional revivals initial state are...

We have examined both single and entangled two-mode multiphoton coherent states shown how the 'Janus-faced' properties between two partner are mirrored in appropriate tomograms. Entropic squeezing, quadrature squeezing higher-order for a wide range of nonclassical estimated directly from demonstrated produced at output port quantum beamsplitter sensitive to relative phase reflected transmitted fields. This feature allows possibility tuning enhance state. Finally, we manner which decoherence...

The master equation for dichotomous diffusion (DD) (the integral of a random telegraph process) is the well-known telegrapher's equation, which converted to Klein–Gordon by simple transformation. After brief recapitulation solution and analogy between DD Dirac in one spatial dimension, we consider velocity-biased DD. corresponding its are presented. It shown that these may be interpreted physically terms Lorentz transformation frame moving with boost velocity equal mean drift diffusing...

We consider a model Hamiltonian describing the interaction of single-mode radiation field with atoms nonlinear medium and study dynamics entanglement for specific non-entangled initial states interest: namely, those in which mode is initially Fock state, coherent state or photon-added state. The counterparts near-revivals fractional revivals are shown to be clearly identifiable entropy entanglement. 'overlap fidelity' system another such indicator, its behaviour corroborates that vicinity...

A simple technique is used to obtain a general formula for the Berry phase (and corresponding Hannay angle) an arbitrary Hamiltonian with equally spaced spectrum and appropriate ladder operators connecting eigenstates. The formalism first applied deformation of oscillator involving both squeezing displacement. Earlier results are shown emerge as special cases. analysis then extended multiphoton squeezed coherent states anholonomies deduced.

We investigate the dynamical behavior of Chern-Simons-Higgs system, with and without Maxwell term for case spatial homogeneity. The pure system is shown to be integrable. Inclusion renders chaotic. A Painlev\'e analysis Maxwell-Chern-Simons-Higgs (MCSH) carried out indicate its nonintegrability. Numerical studies Poincar\'e plots Lyapunov exponents are used establish chaotic in MCSH system.

We show in the framework of a tractable model that revivals and fractional wave packets afford clear signatures extent departure from coherence Poisson statistics matter field Bose-Einstein condensate, or suitably chosen initial state radiation propagating Kerr-like medium.

In recent years, the performance of different entanglement indicators obtained directly from tomograms has been assessed in continuous-variable and hybrid quantum systems. this paper, we carry out task case spin We compute actual experimental data three liquid-state nuclear magnetic resonance (NMR) experiments compare them with standard measures calculated corresponding density matrices, both experimentally reconstructed numerically computed. The gross features dynamics squeezing properties...

We investigate the recurrence properties of time series quantum-mechanical expectation values, in terms representative models for a single-mode radiation field interacting with nonlinear medium. From distributions, return maps and plots, we show that when nonlinearity is sufficiently high, values appropriate observables pertaining to can exhibit features characteristic hyperbolic classical dynamical systems, even though total Hamiltonian has discrete spectrum.

We consider unbiased diffusion on a random comb structure (an infinitely long backbone with loopless branches of arbitrary length emanating from it). If 〈t(\ifmmode\pm\else\textpm\fi{}j|0)${\mathrm{〉}}_{\mathit{w}}$=${\mathit{T}}_{0}$ is the mean time (averaged over all walks) for first passage an origin 0 to either sites +j or -j it in given realization structure, exact constant problem defined as...

In a novel approach to quantum dynamics, we apply the tools of recurrence network analysis dynamics quantum-mechanical expectation values observables. We construct and analyse -recurrence networks from time-series data mean photon number in model tripartite system governed by nonlinear Hamiltonian. The role played intensity-dependent field-atom coupling is investigated. Interesting features emerge as function parameter characterising this both short-time long-time dynamics. particular,...

We present, for the isospectral family of oscillator Hamiltonians, a systematic procedure constructing raising and lowering operators satisfying any prescribed `distorted' Heisenberg algebra (including $q$-generalization). This is done by means an operator transformation implemented shift operator. The latter obtained solving appropriate partial isometry condition in Hilbert space. Formal representations non-local concerned are given terms pseudo-differential operators. Using new...

Recent theoretical investigations on tomographic entanglement indicators have showcased the advantages of approach in context continuous-variable (CV), spin and hybrid quantum systems. Direct estimation using experimental data from IBM computing platform NMR experiments also been carried out earlier work. A similar investigation CV systems is necessary to fully assess utility our approach. In this paper, we highlight reported literature two systems, namely, entangled Talbot carpets biphoton...