The position and momentum space information entropies of weakly interacting trapped atomic Bose–Einstein condensates and spin-polarized trapped atomic Fermi gases at absolute zero temperature are evaluated. Quantum information entropies of ultracold atomic gases in a. In this way the non classical thermodynamic changes the classical geodetic as a consequence of the quantum phenomena and quantum and gravity are unified. Shojai’s theory where the geometry of space-time is highly coupled with a quantum potential whose origin is not the Schrödinger equation but the non classical entropy of a system of many particles that together change the geometry of the phase space of the positions (entanglement. In the light of the representation of gravity in ordinary phase space by torsion in the flat space (Teleparallel gravity, the change of geometry in the phase space introduces quantum phenomena in a natural way. The non classical thermodynamic approach to quantum phenomena changes the geometry of the particle phase space. Finally, the possible quantum relativistic extensions of the theory and the connections with the problem of quantum gravity are investigated. This Weyl-like gauge potential produces a deformation of the moments which changes the classical action in such a way that Bohm’s quantum potential emerges as consequence of the non classical definition of entropy, in a non-Euclidean information space under the constraint of a minimum condition of Fisher information (Fisher Bohm- entropy.
The space associated with the quantum entropy determines a distortion in the classical space of position, which appears as a Weyl-like gauge potential connected with Fisher information. A suggestive reading of the relational interpretation of quantum mechanics and of Bohm’s quantum potential in terms of the quantum entropy are provided. When a measure is performed the quantum entropy collapses to one component. In the quantum regime the entropy is expressed as the superposition of many different Boltzmann entropies that span the space of the entropies before any measure. Unification of Quantum and Gravity by Non Classical Information Entropy Spaceĭirectory of Open Access Journals (Sweden)įull Text Available A quantum entropy space is suggested as the fundamental arena describing the quantum effects. Also, the presented results can be used for further developments of the quantum information and quantum communications. Application region: Results can be used in quantum computer developments. Practical value: The subject carries out theoretic character. The problem has been completely solved in the case of three-level system, 3) A new solution of the interaction between the ultra cold atoms and cavity field has been discovered, 4) Some new models of the atom-field interaction have been adopted. Specifically: 1) A new entanglement measure due to quantum mutual entropy (mixed-state entanglement) we called it DEM, has been introduced, 2) A new treatment of the atomic information entropy in higher level systems has been presented.
Although various special aspects of the quantum entropy have been investigated previously, the general features of the dynamics, when a multi-level system and a common environment are considered, have not been treated before and our work therefore, field a gap in the literature. Particularly: the most general case of the pure state entanglement has been introduced. Results obtained and their novelty are: All the results of the dissertation are new and many new features have been discovered. Method of investigation: Methods of theoretical physics and applied mathematics (statistical physics, quantum optics) are used. Also, the impact of the information entropy on the quantum information theory.
The aim of the work: Study of the new entanglement features and new measures for both pure-state and mixed state of particle-field interaction. Objects of research: Pure state entanglement, entropy squeezing mazer. Key words: entropy, entanglement, atom-field interaction, trapped ions, cold atoms, information entropy. International Nuclear Information System (INIS) Statistical properties of quantum entanglement and information entropy
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