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We discuss a new approach to the problem of quantum gravity in which the quantum mechanical structures that are traditionally fixed, such as the Fubini-Study metric in the Hilbert space of states, become dynamical and so implement the idea…

General Relativity and Quantum Cosmology · Physics 2022-11-28 Per Berglund , Tristan Hübsch , David Mattingly , Djordje Minic

Standard thermodynamical results of ideal Bose gases are used to study the possible formation of a cosmological Bose-Einstein condensate in Scalar Field Dark Matter models; the main hypothesis is that the boson particles were in thermal…

General Relativity and Quantum Cosmology · Physics 2010-10-27 L. Arturo Ureña-López

Confining electromagnetic fields inside an optical cavity can enhance the light-matter coupling between quantum materials embedded inside the cavity and the confined photon fields. When the interaction between the matter and the photon…

The interplay between disorder and interactions is a "leit-motiv" of condensed matter physics, since it constitutes the driving mechanism of the metal-insulator transition. Bose-Einstein condensates in optical potentials are proving to be…

Disordered Systems and Neural Networks · Physics 2008-04-21 Leonardo Fallani , Chiara Fort , Massimo Inguscio

The meaning of quantum group transformation properties is discussed in some detail by comparing the (co)actions of the quantum group with those of the corresponding Lie group, both of which have the same algebraic (matrix) form of the…

q-alg · Mathematics 2016-11-03 M. Chaichian , P. P. Kulish

This paper introduces a quasiequilibrium one-dimensional Bose-Einstein condensation of photons trapped in a microtube. Light modes with a cut-off frequency (a photon's "mass") interact through different processes of absorption, emission,…

Quantum Gases · Physics 2016-04-19 Alex J. Kruchkov

The equivalence postulate approach to quantum mechanics entails a derivation of quantum mechanics from a fundamental geometrical principle. Underlying the formalism there exists a basic cocycle condition, which is invariant under…

High Energy Physics - Theory · Physics 2013-05-02 Alon E. Faraggi

There is currently great interest in the strong coupling between the quantized photon field of a cavity and electronic or other degrees of freedom in materials. A major goal is the creation of novel collective states entangling photons with…

Strongly Correlated Electrons · Physics 2019-01-15 Giacomo Mazza , Antoine Georges

The description of the universe evolving in time according to general relativity is given in comparison with the quantum description of the same universe in terms of semiclassical wave functions. The spacetime geometry is determined by the…

General Relativity and Quantum Cosmology · Physics 2015-12-09 V. E. Kuzmichev , V. V. Kuzmichev

Spatially homogeneous universes can be described in (loop) quantum gravity as condensates of elementary excitations of space. Their treatment is easiest in the second-quantised group field theory formalism which allows the adaptation of…

General Relativity and Quantum Cosmology · Physics 2014-07-24 Steffen Gielen

The geometro-stochastic method of quantization provides a framework for quantum general relativity, in which the principal frame bundles of local Lorentz frames that underlie the fibre-theoretical approach to classical general relativity…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Eduard Prugovecki

We combine the ideas of dressed Bose-Einstein condensates, where an intracavity optical field allows one to design coupled, multicomponent condensates, and of dark states of quantum systems, to generate a full quantum entanglement between…

Soft Condensed Matter · Physics 2009-10-31 E. S. Lee , C. Geckeler , J. Heurich , A. Gupta , Kit-Iu Cheong , S. Secrest , P. Meystre

Phenomenological approaches to quantum gravity try to infer model-independent laws by analyzing thought experiments and combining both quantum, relativistic, and gravitational ingredients. We first review these ingredients -three basic…

General Relativity and Quantum Cosmology · Physics 2013-08-21 Jean-Philippe Bruneton

Quantum gravity is expected to require modifications of the notions of space and time. I discuss and clarify how this happens in Loop Quantum Gravity.

General Relativity and Quantum Cosmology · Physics 2019-08-28 Carlo Rovelli

We find five fundamental reasons demanding that any gravitational mass m, and the speed of light c, vary with cosmological time such that mc remains constant. This is required by the universal condition of conservation of momentum in a…

General Physics · Physics 2015-06-26 Antonio Alfonso-Faus

A new framework of loop quantization that assimilates conformal and scale invariance is constructed and is found to be applicable to a large class of physically important theories of gravity and gravity-matter systems. They include general…

General Relativity and Quantum Cosmology · Physics 2019-01-02 Charles H. -T. Wang , Daniel P. F. Rodrigues

We present an exact quantum mechanical analysis of collinear four-wave mixing in a multicomponent Bose-Einstein condensate consisting of sodium atoms in the F=1 ground state. Technically, this is achieved by taking advantage of the…

Condensed Matter · Physics 2009-10-31 Elena V. Goldstein , Pierre Meystre

Once the critical temperature of a cosmological boson gas is less than the critical temperature, a Bose-Einstein Condensation process can always take place during the cosmic history of the universe. In the Bose-Einstein Condensation model,…

General Relativity and Quantum Cosmology · Physics 2015-03-19 T. Harko

The light-matter interaction can be utilized to qualitatively alter physical properties of materials. Recent theoretical and experimental studies have explored this possibility of controlling matter by light based on driving many-body…

Mesoscale and Nanoscale Physics · Physics 2020-11-11 Yuto Ashida , Atac Imamoglu , Jerome Faist , Dieter Jaksch , Andrea Cavalleri , Eugene Demler

A quantum version of the action principle in a simple covariant dynamical theory of two relativistic particles is formulated. The central object of this new formulation of quantum theory is a stationary eigenvalue of the quantum action.…

General Relativity and Quantum Cosmology · Physics 2009-09-10 N. Gorobey , A. Lukyanenko , I. Lukyanenko