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An encyclopedia article on mathematical aspects of quantum field theory in curved spacetime. Section titles are: Introduction and preliminaries; Construction of *-algebra for a real linear scalar field on globally hyperbolic spacetimes and…

广义相对论与量子宇宙学 · 物理学 2007-08-09 Bernard S. Kay

We study the emergence of universal scaling in the time-evolving momentum distribution of a harmonically trapped three-dimensional Bose-Einstein condensate, parametrically driven to a turbulent state. We demonstrate that the…

Based on the Unruh effect, we calculate the critical acceleration for the Bose-Einstein condensation in a free complex scalar field at finite density in the Rindler space. Our model corresponds to an ideal gas performing constantly…

高能物理 - 理论 · 物理学 2023-09-22 Shingo Takeuchi

Ultracold atomic quantum gases belong to the most exciting challenges of modern physics. Their theoretical description has drawn much from classical field equations. These mean-field approximations are in general reliable for dilute gases…

其他凝聚态物理 · 物理学 2009-11-13 Thomas Gasenzer

The current accelerating phase of the evolution of the universe is considered by constructing most economical cosmic models that use just general relativity and some dominating quantum effects associated with the probabilistic description…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Pedro F. González-Díaz , Alberto Rozas-Fernández

The lateral Casimir-Polder force between an atom and a corrugated surface should allow one to study experimentally non trivial geometrical effects in quantum vacuum. Here, we derive the theoretical expression of this force in a scattering…

量子物理 · 物理学 2009-11-13 Diego A. R. Dalvit , Paulo A. Maia Neto , Astrid Lambrecht , Serge Reynaud

Quantum simulation provides quantum systems under study with analogous controllable quantum systems and has wide applications from condensed-matter physics to high energy physics and to cosmology. The quantum system of a homogeneous and…

广义相对论与量子宇宙学 · 物理学 2020-01-08 Sang Pyo Kim

In this thesis, we investigate quantum vacuum effects in the presence of gravitational fields. After discussing the general theory of vacuum effects in strong fields we apply it to the relevant issue of the interaction of the quantum vacuum…

广义相对论与量子宇宙学 · 物理学 2007-05-23 S. Liberati

A new type of global embedding of curved space-times in higher dimensional flat ones is introduced to present a unified description of Hawking and Unruh effects. Our analysis simplifies as well as generalises the conventional embedding…

广义相对论与量子宇宙学 · 物理学 2014-11-20 Rabin Banerjee , Bibhas Ranjan Majhi

Fully covariant wave equations predict the existence of a class of inertial-gravitational effects that can be tested experimentally. In these equations inertia and gravity appear as external classical fields, but, by conforming to general…

广义相对论与量子宇宙学 · 物理学 2007-05-23 G. Papini

We aim to build a simple model of a gas with temperature ($T$) in thermal equilibrium with a black-body that plays the role of the adiabatically expanding universe, so that each particle of such a gas mimics a kind of "particle" (quantum)…

广义相对论与量子宇宙学 · 物理学 2016-11-07 Claudio Nassif , A. C. Amaro de Faria

In the context of Quantum Cosmology and the Wheeler-DeWitt equation we investigate the possible effects of a non semiclassical wave-function of the universe on the evolution of the inflationary perturbations. These are associated with the…

广义相对论与量子宇宙学 · 物理学 2018-06-20 A. Y. Kamenshchik , A. Tronconi , T. Vardanyan , G. Venturi

The $q$-theory approach to the cosmological constant problem is reconsidered. The new observation is that the effective classical $q$-theory gets modified due to the backreaction of quantum-mechanical particle production by spacetime…

高能物理 - 理论 · 物理学 2016-09-13 F. R. Klinkhamer , G. E. Volovik

To date, both quantum theory, and Einstein's theory of general relativity have passed every experimental test in their respective regimes. Nevertheless, almost since their inception, there has been debate surrounding whether they should be…

量子物理 · 物理学 2016-11-02 A. D. K. Plato , C. N. Hughes , M. S. Kim

A Gauss-Bonnet dark energy model is considered, which is inspired in string/M-theory and takes also into account quantum contributions. Those are introduced from a conformal quantum anomaly. The corresponding solutions for the Hubble rate,…

广义相对论与量子宇宙学 · 物理学 2009-02-11 Emilio Elizalde , John Quiroga Hurtado , Hector Ivan Arcos

For general quantum systems the power expansion of the Gibbs potential and consequently the power expansion of the self energy is derived in terms of the interaction strength. Employing a generalization of the projector technique a compact…

统计力学 · 物理学 2019-07-18 T. Plefka

Although the Unruh and Hawking phenomena are commonly linked to field quantization in "accelerated" coordinates or in curved spacetimes, we argue that they are deeply rooted at the classical level. We maintain in particular that these…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Massimo Pauri , Michele Vallisneri

We present a kinetic theory for Bose-Einstein condensation of a weakly interacting atomic gas in a trap. Starting from first principles, we establish a Markovian kinetic description for the evolution towards equilibrium. In particular, we…

统计力学 · 物理学 2009-10-31 R. Walser , J. Williams , J. Cooper , M. Holland

The two main predictions of quantum field theory in curved space-time, namely Hawking radiation and cosmological pair production, have not been directly tested and involve ultra high energy configurations. As a consequence, they should be…

量子气体 · 物理学 2014-11-07 Xavier Busch

Quantum effects in the era of reheating of the universe after inflation are considered. A semiclassical approach to gravity theory is applied within Starobinsky's inflationary model with backreaction. Some subtleties associated with…

广义相对论与量子宇宙学 · 物理学 2025-12-29 A. B. Arbuzov , A. A. Nikitenko