| The Bogoliubov Inequality and the Nature of Bose-Einstein Condensates for Interacting Atoms in Spatial Dimensions D = 2 |
2019 |
31 |
We consider the restriction placed by the Bogoliubov inequality on the nature of the BoseEinstein condensates (BECs) for interacting atoms in a spatial dimension D = 2 and in the presenceof an external arbitrary potential, which may be a confining “b... |
| Bose-Einstein Condensation and Supersolids |
2021 |
155 |
We consider interacting Bose particles in an external potential. It is shown that a Bose-Einsteincondensate is possible at finite temperatures that describes a supersolid in three dimensions (3D) for a wide range of potentials in the absence of an ex... |
| Characteristic Function and Quasi-probability Distribution of Photons and of Squeezed Coherent Photons |
2020 |
42 |
We consider the p-ordered characteristic function and its Fourier transform, the quasidistribution function, of squeezed coherent photons in a thermal state of photons and calculate the mean number and number variance of squeezed coherent photons. Al... |
| Collapse and Revival of n-Photon Coherent States and n-Photon Squeezed Coherent States |
2022 |
106 |
We introduce the set of n-photon coherent states and the set of n-photon squeezed coherent states and study their collapse and revival and compare their behavior with the collapse and revival of the corresponding zero-photon coherent states and zero-... |
| The Dynamics of a Modified Jaynes-Cummings Model |
2022 |
56 |
We introduce a dynamical system that instead of exchanging a single photon as in theatomic system of the usual Jaynes-Cummings model (JCM), it exchanges instead a squeezedcoherent photon. Accordingly, the creation and annihilation photon operators in... |
| Generation of Entangled Tripartite States in Three Identical Cavities |
2018 |
19 |
The generation of entanglement between three identical coupled cavities, eachcontaining a single three-level atom, is studied when the cavities exchange two coherent photonsand are in the N =2, 4, and 6 manifolds, where N represents the maximum numbe... |
| Infinitely long-range nonlocal potentials and the Bose-Einstein supersolid phase |
2018 |
28 |
It is shown that with the aid of the Bogoliubov inequality, that a Bose-Einstein condensatehas the Bloch form and represents a self-organized supersolid provided the interaction between thecondensate atoms is nonlocal and of infinitely long-range. |
| Mean Number and Number Variance of Squeezed Coherent Photons In a Thermal State of Photons |
2020 |
41 |
We consider the equilibrium thermal state of photons and determine the mean number and number variance of squeezed coherent photons. We use an integral representation for electro-magnetic radiation applicable both to systems in equilibrium and to sys... |
| Nearest-Neighbor Tunneling Ansatz in the Bose-Hubbard Model |
2023 |
186 |
A recently introduced recurrence-relation ansatz applied to the Jaynes-Cummings-Hubbard model is here applied to the Bose-Hubbard model that reduced the model to an easily soluble model. The results obtained for the two-point density correlations res... |
| One-dimensional Dynamics for a Discontinuous Singular Map and the Routes to Chaos |
2022 |
59 |
We visit a previously proposed discontinuous, two-parameter generalization of thecontinuous, one-parameter logistic map and present exhaustive numerical studies of the behavior for different values of the two parameters and initial points x 0 . In pa... |
| Particle-Hole Ansatz in the Jaynes-Cummings-Hubbard Model |
2023 |
68 |
A recurrence relation ansatz between annihilation operators applied to the hoppinginteraction term of the Jaynes-Cummings-Hubbard model (JCHM) reduces the JCHM to that ofthe ordinary Jaynes-Cummings model (JCM), albeit, with a boson energy depending ... |
| Polarization entropy of the two-photon system |
2018 |
19 |
We consider the bipartite state of a two-photon polarization system and obtain the exact analytical expression for the von Neumann entropy in the particular case of polarization when the entropy depends on only five parameters rather than the full fi... |
| Quantum Rabi Oscillations in Coherent and Squeezed Coherent States Via One- and Two-Photon Transitions |
2019 |
18 |
We determine the Rabi oscillations for coherent and squeezed coherentstates via one- and two-photon atomic transitions in two- and three-level atoms, respectively. The effect of squeezing coherent states is to reduce the large number of photons of me... |
| Statistical Entropy of a Schwarzschild-anti-de Sitter Black Hole |
2019 |
35 |
We calculate the intrinsic entropy of a Schwarzschild black hole in an asymptotically anti-de Sitter space. The statistical calculation of the entropy is based on a model for particle structure that leads to confinement. The constituents of the parti... |