scholarly journals AN EXACT SOLUTION TO THE QUANTIZED ELECTROMAGNETIC FIELD IN D-DIMENSIONAL DE SITTER SPACE–TIMES

2012 ◽  
Vol 27 (30) ◽  
pp. 1250177 ◽  
Author(s):  
G. ALENCAR ◽  
I. GUEDES ◽  
R. R. LANDIM ◽  
R. N. COSTA FILHO
Keyword(s):  
Electromagnetic Field ◽  
Extra Dimensions ◽  
Particle Production ◽  
De Sitter Space ◽  
Thermal Bath ◽  
De Sitter ◽  
Microwave Background ◽  
Quantum Behavior ◽  
Dynamic Invariants ◽  
Do So

In this work, we investigate the quantum theory of light propagating in D-dimensional de Sitter space–times. To do so, we use the method of dynamic invariants to obtain the solution of the time-dependent Schrödinger equation. The quantum behavior of the electromagnetic field in this background is analyzed. As the electromagnetism loses its conformality in D≠4, we point out that there will be particle production and comoving objects will feel a Bunch–Davies thermal bath. This may become important in extra dimension physics and raises the intriguing possibility that precise measurements of the Cosmic Microwave Background could verify the existence of extra dimensions.

scholarly journals Open quantum entanglement: a study of two atomic system in static patch of de Sitter space

2020 ◽  
Vol 80 (8) ◽  
Author(s):  
Samim Akhtar ◽  
Sayantan Choudhury ◽  
Satyaki Chowdhury ◽  
Debopam Goswami ◽  
Sudhakar Panda ◽  
...  
Keyword(s):  
Scalar Field ◽  
Density Matrix ◽  
Master Equation ◽  
Quantum Entanglement ◽  
De Sitter Space ◽  
Thermal Bath ◽  
Massless Scalar Field ◽  
De Sitter ◽  
Open Quantum ◽  
Non Locality

Abstract In this work, our prime objective is to study non-locality and long range effect of two body correlation using quantum entanglement from various information theoretic measure in the static patch of de Sitter space using a two body Open Quantum System (OQS). The OQS is described by a system of two entangled atoms, surrounded by a thermal bath, which is modelled by a massless probe scalar field. Firstly, we partially trace over the bath field and construct the Gorini Kossakowski Sudarshan Lindblad (GSKL) master equation, which describes the time evolution of the reduced subsystem density matrix. This GSKL master equation is characterized by two components, these are-Spin chain interaction Hamiltonian and the Lindbladian. To fix the form of both of them, we compute the Wightman functions for probe massless scalar field. Using this result alongwith the large time equilibrium behaviour we obtain the analytical solution for reduced density matrix. Further using this solution we evaluate various entanglement measures, namely Von-Neumann entropy, R$$e'$$e′nyi entropy, logarithmic negativity, entanglement of formation, concurrence and quantum discord for the two atomic subsystem on the static patch of De-Sitter space. Finally, we have studied violation of Bell-CHSH inequality, which is the key ingredient to study non-locality in primordial cosmology.

Quantum evolution of an unstable field in a de Sitter-space thermal bath

1988 ◽  
Vol 38 (10) ◽  
pp. 3146-3157 ◽  
Author(s):  
J. M. Cornwall ◽  
R. Bruinsma
Keyword(s):  
De Sitter Space ◽  
Quantum Evolution ◽  
Thermal Bath ◽  
De Sitter

scholarly journals A way of decoupling gravitational sources in pure Lovelock gravity

2019 ◽  
Vol 79 (11) ◽  
Author(s):  
Milko Estrada
Keyword(s):  
Black Hole ◽  
Extra Dimensions ◽  
De Sitter Space ◽  
Analytic Solutions ◽  
De Sitter ◽  
Lovelock Gravity ◽  
Regular Black Hole ◽  
Physical Interest ◽  
Geometric Deformation ◽  
Black Hole Solutions

Abstract We provide an algorithm that shows how to decouple gravitational sources in pure Lovelock gravity. This method allows to obtain several new and known analytic solutions of physical interest in scenarios with extra dimensions and with presence of higher curvature terms. Furthermore, using our method, it is shown that applying the minimal geometric deformation to the Anti de Sitter space time it is possible to obtain regular black hole solutions.

scholarly journals Formation of Conserved Charge at the de Sitter Space

Particles ◽  
2020 ◽  
Vol 3 (2) ◽  
pp. 355-363
Author(s):  
Valery V. Nikulin ◽  
Polina M. Petriakova ◽  
Sergey G. Rubin
Keyword(s):  
Early Universe ◽  
Extra Dimensions ◽  
De Sitter Space ◽  
Lepton Number ◽  
Relaxation Processes ◽  
Two Dimensional ◽  
Charge Accumulation ◽  
De Sitter ◽  
Extra Space

The article considers a new mechanism of charge accumulation in the early Universe in theories with compact extra dimensions. The relaxation processes in the extra space metric that take place during its formation lead to the establishment of symmetrical extra space configuration. As a result, the initial accumulation of the number associated with the symmetry occurs. We demonstrate this mechanism using a simple example of a two-dimensional apple-like extra space metric with U ( 1 ) -symmetry. The conceptual idea of the mechanism can be used to develop a model for the production of the baryon or lepton number in the early Universe.

scholarly journals REAL OR IMAGINARY? ON PAIR CREATION IN DE SITTER SPACE

2010 ◽  
Vol 25 (33) ◽  
pp. 2815-2823 ◽  
Author(s):  
EMIL T. AKHMEDOV
Keyword(s):  
Scalar Field ◽  
Path Integral ◽  
Effective Action ◽  
Particle Production ◽  
De Sitter Space ◽  
Pair Creation ◽  
De Sitter ◽  
Feynman Propagator

Using properly defined Feynman propagator we obtain nonzero imaginary contribution to the scalar field effective action in even-dimensional de Sitter space. Such a propagator follows from the path integral in de Sitter space and obeys composition principle proposed in arXiv:0709.2899. The obtained expression for the effective action shows particle production with the Gibbons–Hawking rate.

scholarly journals Relating the curvature of De Sitter universe to open quantum Lamb shift spectroscopy

2021 ◽  
Vol 81 (2) ◽  
Author(s):  
Hardik Bohra ◽  
Sayantan Choudhury ◽  
Prashali Chauhan ◽  
Purnima Narayan ◽  
Sudhakar Panda ◽  
...  
Keyword(s):  
Lamb Shift ◽  
Energy Levels ◽  
De Sitter Space ◽  
Space Time ◽  
Thermal Bath ◽  
Total System ◽  
De Sitter ◽  
Combined System ◽  
Open Quantum

AbstractIn this paper, we explore the connection between the curvature of the background De Sitter space-time with the spectroscopic study of entanglement of two atoms. Our set up is in the context of an Open Quantum System (OQS), where the two atoms, each having two energy levels and represented by Pauli spin tensor operators projected along any arbitrary direction. The system mimic the role of a pair of freely falling Unruh De-Witt detectors, which are allowed to non-adiabatically interact with a conformally coupled massless probe scalar field which has the role of background thermal bath. The effective dynamics of this combined system takes into account of the non-adiabatic interaction, which is commonly known as the Resonant Casimir Polder Interaction (RCPI) with the thermal bath. Our analysis revels that the RCPI of two stable entangled atoms in the quantum vacuum states in OQS depends on the de Sitter space-time curvature relevant to the temperature of the thermal bath felt by the static observer. We also find that, in OQS, RCPI produces a new significant contribution appearing in the effective Hamiltonian of the total system and thermal bath under consideration. We find that the Lamb shift is characterised by a decreasing inverse square power law behaviour, $$L^{-2}$$ L - 2 , when inter atomic Euclidean distance, L, is much larger than a characteristic length scale, k, which is the inverse surface gravity of the background De Sitter space. If the background space time would have been Minkowskian this shift decreases as, $$L^{-1}$$ L - 1 , and is independent of temperature. Thus, we establish a connection between the curvature of the De Sitter space-time with the Lamb shift spectroscopy.

Cosmology

2019 ◽  
pp. 92-100
Author(s):  
Steven Carlip
Keyword(s):  
De Sitter Space ◽  
Red Shift ◽  
De Sitter ◽  
Einstein Field Equations ◽  
Field Equations ◽  
Microwave Background ◽  
Cosmological Solutions ◽  
Expansion Of The Universe ◽  
Topology Of The Universe ◽  
The Universe

Starting with the assumptions of homogeneity and isotropy, the cosmological solutions of the Einstein field equations—the Friedmann-Lemaitre-Robertson-Walker metrics—are derived. After a discussion of constant curvature metrics and the topology of the Universe, the chapter moves on to discuss observational implications: expansion of the Universe, cosmological red shift, primordial nucleosynthesis, the cosmic microwave background, and primordial perturbations. The chapter includes a brief discussion of de Sitter and anti-de Sitter space and an introduction to inflation.

Particle production in de Sitter space

1995 ◽  
Vol 12 (7) ◽  
pp. 1591-1607 ◽  
Author(s):  
S Biswas ◽  
J Guha ◽  
N G Sarkar
Keyword(s):  
Particle Production ◽  
De Sitter Space ◽  
De Sitter

A note on the nonperturbative nature of the Schwinger effect in the expanding de Sitter space

2015 ◽  
Vol 30 (08) ◽  
pp. 1550046 ◽  
Author(s):  
Nistor Nicolaevici
Keyword(s):  
Particle Production ◽  
Flat Space ◽  
De Sitter Space ◽  
Transformation Method ◽  
External Electromagnetic Field ◽  
Two Dimensions ◽  
Uniform Electric Field ◽  
De Sitter ◽  
Perturbative Calculation ◽  
Similar Restriction

We reconsider a recent perturbative calculation [M. A. Băloi, Mod. Phys. Lett. A29, 1450138 (2014)] of particle production in the expanding de Sitter space in an external electromagnetic field and apply it to the case of a constant uniform electric field in two dimensions. We show that perturbative number of created particles significantly differs from the existing nonperturbative result based on the Bogoliubov transformation method. We also point out that for a physically meaningful perturbative amplitude one should restrict to external potentials Aμ which in conformal coordinates vanish at infinite times. Potentials which do not respect this condition lead to gauge-dependent amplitudes, which also show close similarities with amplitudes in flat space in the unphysical case when the external potential suddenly vanishes. These problems are intimately linked with the finite upper limit of the conformal time in the de Sitter space and most probably a similar restriction should be imposed in perturbative calculations in FRW spacetimes with the same property.

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