scholarly journals Taming fluctuations for Gaussian states in loop quantum cosmology

2021 ◽  
Vol 103 (8) ◽  
Author(s):  
Patrick Fraser
Keyword(s):  
Quantum Cosmology ◽  
Loop Quantum Cosmology ◽  
Gaussian States

scholarly journals Numerical evolution of squeezed and non-Gaussian states in loop quantum cosmology

2014 ◽  
Vol 31 (16) ◽  
pp. 165006 ◽  
Author(s):  
Peter Diener ◽  
Brajesh Gupt ◽  
Miguel Megevand ◽  
Parampreet Singh
Keyword(s):  
Quantum Cosmology ◽  
Loop Quantum Cosmology ◽  
Gaussian States ◽  
Non Gaussian

ON THE SEMICLASSICAL LIMIT OF LOOP QUANTUM COSMOLOGY

2012 ◽  
Vol 21 (09) ◽  
pp. 1250076 ◽  
Author(s):  
ALEJANDRO CORICHI ◽  
EDISON MONTOYA
Keyword(s):  
Coherent State ◽  
Quantum Cosmology ◽  
Coherent States ◽  
Semiclassical Limit ◽  
Loop Quantum Cosmology ◽  
Squeezed States ◽  
Gaussian States ◽  
Exactly Solvable ◽  
Spatial Topology ◽  
Frw Model

We consider a k = 0 Friedman–Robertson–Walker (FRW) model within loop quantum cosmology (LQC) and explore the issue of its semiclassical limit. The model is exactly solvable and allows us to construct analytical (Gaussian) coherent-state solutions for each point on the space of classical states. We propose physical criteria that select from these coherent states, those that display semiclassical behavior, and study their properties in the deep Planck regime. Furthermore, we consider generalized squeezed states and compare them to the Gaussian states. The issue of semiclassicality preservation across the bounce is studied and shown to be generic for all the states considered. Finally, we comment on some implications these results have, depending on the topology of the spatial slice. In particular, we consider the issue of the recovery, within our class of states, of a scaling symmetry present in the classical description of the system when the spatial topology is noncompact.

scholarly journals Covariant entropy bound and loop quantum cosmology

2008 ◽  
Vol 78 (6) ◽  
Author(s):  
Abhay Ashtekar ◽  
Edward Wilson-Ewing
Keyword(s):  
Quantum Cosmology ◽  
Loop Quantum Cosmology ◽  
Entropy Bound

scholarly journals Measuring the effects of loop quantum cosmology in the CMB data

2017 ◽  
Vol 26 (12) ◽  
pp. 1743023 ◽  
Author(s):  
Spyros Basilakos ◽  
Vahid Kamali ◽  
Ahmad Mehrabi
Keyword(s):  
Power Spectrum ◽  
Spectral Index ◽  
Excellent Agreement ◽  
Quantum Cosmology ◽  
Loop Quantum Cosmology ◽  
Alternative Scenario ◽  
Slow Roll ◽  
Scalar Spectral Index ◽  
Robust Prediction ◽  
Scalar Fluctuation

In this paper we investigate the observational signatures of Loop Quantum Cosmology (LQC) in the CMB data. First, we concentrate on the dynamics of LQC and we provide the basic cosmological functions. We then obtain the power spectrum of scalar and tensor perturbations in order to study the performance of LQC against the latest CMB data. We find that LQC provides a robust prediction for the main slow-roll parameters, like the scalar spectral index and the tensor-to-scalar fluctuation ratio, which are in excellent agreement within [Formula: see text] with the values recently measured by the Planck collaboration. This result indicates that LQC can be seen as an alternative scenario with respect to that of standard inflation.

Sign in / Sign up

Export Citation Format

Share Document