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We present a general, analytic recipe to compute the entanglement that is generated between arbitrary, discrete modes of bosonic quantum fields by Bogoliubov transformations. Our setup allows the complete characterization of the quantum…

Quantum Physics · Physics 2013-02-19 Nicolai Friis , Ivette Fuentes

We develop a method for computing the Bogoliubov transformation experienced by a confined quantum scalar field in a globally hyperbolic spacetime, due to the changes in the geometry and/or the confining boundaries. The method constructs a…

Quantum Physics · Physics 2021-11-03 Luis C. Barbado , Ana L. Báez-Camargo , Ivette Fuentes

In this paper we re-investigate the Bogoliubov transformations which relate the Minkowski inertial vacuum to the vacuum of an accelerated observer. We implement the transformation using a non-unitary operator used in formulations of…

General Relativity and Quantum Cosmology · Physics 2016-01-08 Arundhati Dasgupta

We develop a method for computing the Bogoliubov transformation experienced by a confined quantum scalar field in a globally hyperbolic spacetime, due to the changes in the geometry and/or the confining boundaries. The method constructs a…

Quantum Physics · Physics 2021-10-26 Luis C. Barbado , Ana L. Báez-Camargo , Ivette Fuentes

We present a numerical analysis of the particle creation for a quantum field in the presence of time dependent boundary conditions. Having in mind recent experiments involving superconducting circuits, we consider their description in terms…

Quantum Physics · Physics 2016-03-23 F. C. Lombardo , F. D. Mazzitelli , A. Soba , P. I. Villar

We describe repulsively interacting Bose-Einstein condensates in spatially correlated disorder potentials of arbitrary dimension. The first effect of disorder is to deform the mean-field condensate. Secondly, the quantum excitation spectrum…

Quantum Gases · Physics 2011-06-28 Christopher Gaul , Cord A. Müller

A central open problem in quantum gravity is to understand how continuum spacetime emerges from quantum-geometric degrees of freedom in a background-independent setting. A many-body perspective suggests that spacetime emerges as a…

General Relativity and Quantum Cosmology · Physics 2026-05-20 Andrea Calcinari , Adrià Delhom , Daniele Oriti

The Bogoliubov-de Gennes equations are used for a number of theoretical works on the trapped Bose-Einstein condensates. These equations are known to give the energies of the quasi-particles when all the eigenvalues are real. We consider the…

Other Condensed Matter · Physics 2009-11-11 M. Mine , M. Okumura , T. Sunaga , Y. Yamanaka

A single real scalar field of spin zero obeying the Klein-Gordon equation in flat space-time under external conditions is considered in the context of the spin-statistics connection. An imposed accelerated boundary on the field is made to…

General Relativity and Quantum Cosmology · Physics 2015-03-20 Michael R. R. Good

We demonstrate entanglement generation between mode pairs of a quantum field in a nonuniformly accelerated cavity in Minkowski space-time. The effect is sensitive to the initial state, the choice of the mode pair and bosonic versus…

Quantum Physics · Physics 2012-04-20 Nicolai Friis , David Edward Bruschi , Jorma Louko , Ivette Fuentes

We develop a general technique to analyse the quantum effects of acceleration on realistic spatially-localised electromagnetic field states entangled in the polarization degree of freedom. We show that for this setting, quantum entanglement…

Quantum Physics · Physics 2012-08-21 Miguel Montero , Marco del Rey , Eduardo Martin-Martinez

The quantum instability of the mean-field theory for identical bosons is shown to be described by an appropriate Bogoliubov transformation. A connection between the quantum and classical linear stability theories is indicated. It is argued…

Other Condensed Matter · Physics 2009-11-11 Valery S. Shchesnovich

During the last fifty-one years, the effect of excitation of the quantum vacuum field induced by its coupling with a moving object has been systematically studied. Here, we propose and investigate a somewhat inverted setting: an object,…

We consider a gedanken experiment with a beam of atoms in their ground state that are accelerated through a single-mode microwave cavity. We show that taking into account of the ''counter-rotating'' terms in the interaction Hamiltonian…

We demonstrate the presence of genuine multipartite entanglement between the modes of quantum fields in non-uniformly moving cavities. The transformations generated by the cavity motion can be considered as multipartite quantum gates. We…

Quantum Physics · Physics 2012-11-09 Nicolai Friis , Marcus Huber , Ivette Fuentes , David Edward Bruschi

In this thesis we focus on the influence of uniform acceleration on quantum states and their properties, as well as on quantum entanglement contained in the vacuum. First, we analyze a quantum clock measuring time in terms of the decay of…

Quantum Physics · Physics 2019-08-19 Krzysztof Lorek

We analyze the transformation of quantum fields under conformal coordinate transformations from inertial to accelerated frames, in the simple case of scalar massless fields in a two-dimensional spacetime, through the transformation of…

Quantum Physics · Physics 2008-11-26 Marc-Thierry Jaekel , Serge Reynaud

Some of the most prominent theoretical predictions of modern times, e.g., the Unruh effect, Hawking radiation, and gravity-assisted particle creation, are supported by the fact that various quantum constructs like particle content and…

General Relativity and Quantum Cosmology · Physics 2020-12-14 Kinjalk Lochan , Hendrik Ulbricht , Andrea Vinante , Sandeep K. Goyal

A central aim of relativistic quantum information (RQI) is the investigation of quantum information tasks and resources taking into account the relativistic aspects of nature. More precisely, it is of fundamental interest to understand how…

Quantum Physics · Physics 2014-05-06 Nicolai Friis

On top of the mean-field analysis of a Bose-Einstein condensate, one typically applies the Bogoliubov theory to analyze quantum fluctuations of the excited modes. Therefore, one has to diagonalize the Bogoliubov Hamiltonian in a symplectic…

Quantum Gases · Physics 2015-05-28 G. Engelhardt , T. Brandes
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