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Related papers: Squeezed States in the de Sitter Vacuum

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We develop new techniques for studying the modular and the relative modular flows of general excited states. We show that the class of states obtained by acting on the vacuum (or any cyclic and separating state) with invertible operators…

High Energy Physics - Theory · Physics 2021-10-22 Nima Lashkari , Hong Liu , Srivatsan Rajagopal

By using the invariant method we find one-parameter squeezed Gaussian states for both time-independent and time-dependent oscillators. The squeezing parameter is expressed in terms of energy expectation value for time-independent case and…

Quantum Physics · Physics 2008-11-26 Jung Kon Kim , Sang Pyo Kim

The Morse potential quantum system is a realistic model for studying vibrations of atoms in a diatomic molecule. This system is very close to the harmonic oscillator one. We thus propose a construction of squeezed coherent states similar to…

Mathematical Physics · Physics 2010-10-19 M. Angelova , V. Hussin

Using coherent and squeezed state formalisms of quantum optics for a minimally coupled non-classical inflaton in the FRW mertic is studied, in semiclassical theory of gravity. The leading order solution for the semiclassical Einstein…

General Relativity and Quantum Cosmology · Physics 2009-02-11 K. K. Venkataratnam , P. K. Suresh

We discuss interacting quantum field theory in de Sitter space and argue that the Mottola-Allen vacuum ambiguity is an artifact of free field theory. The nature of the nonthermality of the MA-vacua is also clarified. We propose analyticity…

High Energy Physics - Theory · Physics 2009-11-07 Martin B. Einhorn , Finn Larsen

This paper studies interacting massive particles on the de Sitter background. It is found that the vacuum acts as an inversely populated medium which is able to generate stimulated radiation. Without back reaction (not considered in this…

High Energy Physics - Theory · Physics 2010-04-30 A. M. Polyakov

We study chaotic inflation driven by a real, massive, homogeneous minimally coupled scalar field in a flat Robertson-Walker spacetime. The semiclassical limit for gravity is considered, whereas the scalar field is treated quantum…

General Relativity and Quantum Cosmology · Physics 2008-11-26 F. Finelli , G. P. Vacca , G. Venturi

In this paper, we construct and analyze a class of squeezed coherent states within the framework of supersymmetric quantum mechanics (SUSYQM) involving a position-dependent mass (PDM). Using a deformed algebraic structure, we generalize the…

Quantum Physics · Physics 2025-08-12 Daniel Sabi Takou , Amidou Boukari , Assimiou Yarou Mora , Gabriel Y. H. Avossevou

Quantisation with Gaussian type states offers certain advantages over other quantisation schemes, in particular, they can serve to regularise formally discontinuous classical functions leading to well defined quantum operators. In this work…

Quantum Physics · Physics 2022-05-25 Jean-Pierre Gazeau , Véronique Hussin , James Moran , Kevin Zelaya

The one-loop effective action for non-minimal scalar modified gravity on de Sitter background with a constant scalar field is found. The corresponding induced cosmological constant is evaluated. It is shown that quantum effects in…

General Relativity and Quantum Cosmology · Physics 2011-04-07 G. Cognola , E. Elizalde , S. Nojiri , S. D. Odintsov

We consider the Euclidean vacuum for linearized gravity on the global de Sitter space, obtained from the Euclidean Green's function on the 4-sphere. We use the notion of Calder\'on projectors to recover a quantum state for the Lorentzian…

Mathematical Physics · Physics 2026-03-17 Christian Gérard , Michał Wrochna

We present a consistent low energy effective field theory framework for parameterizing the effects of novel short distance physics in inflation, and their possible observational signatures in the Cosmic Microwave Background. We consider the…

High Energy Physics - Theory · Physics 2009-11-11 Paul R. Anderson , Carmen Molina-Paris , Emil Mottola

We discuss a new scenario for early cosmology when the inflationary de Sitter phase emerges dynamically. This genuine quantum effect occurs as a result of dynamics of the topologically nontrivial sectors in a strongly coupled QCD- like…

High Energy Physics - Phenomenology · Physics 2015-08-26 Ariel R. Zhitnitsky

A recent proposal of new sets of squeezed states is seen as a particular case of a general context admitting realistic physical Hamiltonians. Such improvements reveal themselves helpful in the study of associated squeezing effects.…

Quantum Physics · Physics 2025-10-29 J. Beckers , N. Debergh , F. H. Szafraniec

Vacuum structure, one-particle excitations' spectra and bound states of these excitations are studied in frame of non-relativistic quantum field model with current $\times$ current type interaction. Hidden symmetry of the model is found. It…

Quantum Physics · Physics 2007-05-23 A. N. Vall , S. E. Korenblit , V. M. Leviant , A. V. Sinitskaya

A quantum state of the entire cosmos (universe or multiverse) is proposed which is the equal mixture of the Giddings-Marolf states that are asymptotically single de Sitter spacetimes in both past and future and are regular on the throat or…

High Energy Physics - Theory · Physics 2008-11-26 Don N. Page

We examine the thermodynamic behaviour of four-dimensional charged and uncharged de Sitter black holes enclosed in an isothermal cavity, in the extended phase space where the cosmological constant is treated as a thermodynamic pressure. We…

General Relativity and Quantum Cosmology · Physics 2019-05-22 Fil Simovic , Robert. B. Mann

The aim of this work is to provided the details of a calculation summarized in the recent paper by Maltz and Susskind which conjectured a potentially rigorous framework where the status of de Sitter space is the same as that of a resonance…

High Energy Physics - Theory · Physics 2017-03-15 Jonathan Maltz

In these notes, we discuss squeezed states using the elementary quantum language based on one-dimensional Schr\"odinger equation. No operators are used. The language of quantum optics is mentioned only for a hint to solve a differential…

Quantum Physics · Physics 2018-09-25 Alexander N. Korotkov

Squeezed states of the harmonic oscillator are a common resource in applications of quantum technology. If the noise is suppressed in a nonlinear combination of quadrature operators below threshold for all possible up-to-quadratic…

Quantum Physics · Physics 2023-06-13 Vojtěch Kala , Petr Marek , Radim Filip