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Kerr and Kerr-AdS black shells and black hole entropyWang, Xun 19 October 2007 (has links)
As an operational approach to the Bekenstein-Hawking formula S_{BH}=A/4l_{Pl}^{2} for the black hole entropy, we consider the reversible contraction of a spinning thin shell to its event horizon and find that its thermodynamic entropy approaches $S_{\mathrm{BH}}$. In this sense the shell, called a "black shell", imitates and is externally indistinguishable from a black hole. Our work is a generalization of the previous result [10] for the spherical case. We assume the exterior space-time of the shell is given by the Kerr metric and match it to two different interior metrics, a vacuum one and a non-vacuum one. We find the vacuum interior embedding breaks down for fast spinning shells. The mechanism is not clear and worth further exploring. We also examine the case of a Kerr-AdS exterior, without trying to find a detailed interior solution. We expect the same behavior of the shell when the horizon limit is approached.
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The stories of quantum physics : quantum physics in literature and popular science, 1900-presentDihal, Kanta January 2017 (has links)
This thesis investigates quantum physics narratives for non-physicists, covering four interlocking modes of writing for adults and children, fictional and nonfictional, from 1900 to the present. It brings together three separate scholarly fields: literature and science, science fiction, and science communication. The thesis has revealed parallels between the approaches to quantum physics in these disparate narratives that have not been addressed before, shedding new light on the mutual influences between science and narrative form. The thesis argues that similar narrative tropes have been employed in popular science writing and in fiction across all age groups, changing non-physicists' ideas of quantum physics. This understanding differs significantly from the professional understanding of quantum physics, as I establish by means of a series of case studies, including popular science books for adults by Alastair I.M. Rae, George Gamow and Robert Gilmore; popularizations for children by Lucy and Stephen Hawking, Russell Stannard, and Otto Fong; children's fiction by Philip Pullman and Madeleine L'Engle; and fiction for adults by Greg Egan, David Walton, Blake Crouch, and Iain Pears. An analysis of authors who wrote for various audiences or in multiple genres, such as Fred Hoyle, Stephen Hawking, and Ian Stewart, shows how the same concerns and conflicts surface in a wide range of stories. Quantum physics is not yet fully understood; the Copenhagen, conscious collapse, many-worlds and other interpretations compete for both scientific and public acceptance. Influential physics communicators such as John Gribbin and Brian Cox have written popularizations in which they express a personal preference for one interpretation, arguing against others. Scientific conflict, which tends to be omitted from university teaching, is thus explicitly present in popularizations, making it clear to the reader that quantum physics is in a constant state of flux. I investigate the conflicts between Fred Hoyle and George Gamow, and Stephen Hawking and Leonard Susskind, to see how they undermine the alleged objectivity of science. The interplay between the different stories of quantum physics shows how the science not only shapes the stories: the stories shape the science, too.
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Entanglement and the black hole information paradoxFlodgren, Nadia January 2017 (has links)
The black hole information paradox arises when quantum mechanical effects are considered in the vicinity of the event horizon of a black hole. In this report we describe the fundamental properties of quantum mechanical systems and black holes that lead to the information paradox, with focus on quantum entanglement. While first presented in 1976, the information paradox is as of yet an unsolved problem. Two of the proposed solutions, black hole complementarity and firewalls, are discussed. / Svarta hålets informationsparadox uppkommer när man tar hänsyn till kvantmekaniska effekter i närheten av händelsehorisonten av ett svart hål. I denna rapport beskrivs de grundläggande egenskaper hos kvantmekaniska system och svarta hål som leder till informationsparadoxen, med fokus på kvantintrassling. Paradoxen, som presenterades 1976 men än idag är ett olöst problem, förklaras sedan. Två av de förslagna lösningarna till paradoxen, svarta hål-komplementaritet och firewalls, diskuteras.
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Simulation of curved-space quantum field theories with two-component Bose-Einstein condensates: from black-hole physics to cosmologyBerti, Anna 04 April 2024 (has links)
In 1981, Unruh suggested the possibility of simulating the dynamics of quantum fields in curved spacetimes using sound-waves propagating in moving fluids: a supersonic flow would indeed influence the dynamics of sound similarly to what happens to light when it’s dragged by the spacetime geometry in strong gravity environments. This simple yet groundbreaking observation has lead to the beginning of a whole new field of research, nowadays known as Analog Gravity.
Due to their superfluid character, intrinsic quantum nature and impressive experimental tunability, Bose-Einstein condensates represent one of the most promising platforms to realize analog spacetimes, including black-hole geometries with horizons and ergoregions, as well as of time-dependent configurations relevant to cosmology.
In this Thesis we go beyond the standard single-component BEC and focus on two-component mixtures of atomic condensates, possibly in the presence of a coherent coupling between the two-components: the availability of various branches of elementary excitations with different sound speed and effective mass may in fact lead to advantages in the implementation of interesting geometries and, eventually, to the exploration of a broader spectrum of physical processes. We first consider black-hole related phenomena (Hawking radiation and rotational superradiance) that have already been analysed with single-component systems, generalising the results to mixtures; we then proceed to tackle a problem (the decay from the false vacuum) which instead requires the additional degrees of freedom that only a mixture displays.
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Högt flygande gravfynd : Nytt perspektiv på falkenering och rovfåglar i gravar under yngre järnåldern / High flying grave goods : A new perspective on falconry and birds of prey in Late Iron Age gravesEldebrink, Moa January 2024 (has links)
Falkenering har varit en del av den svenska kulturen sedan 500-talet v.t. då de första spåren av rovfågel framträder i gravar från främst Mälardalsområdet och har sedan 2021 klassificeratssom ett av UNESCO:s immateriella kulturarv. Jakt med rovfågel under yngre järnåldern i Skandinavien är ett relativt outforskat ämne som främst har fokuserat på att bekräfta att rovfågel fanns närvarande, spåra praktikens ursprung eller bekräfta en individs status. En definition av falkenering och kriterier för en falkeneringsgrav har tagits fram innan en kvalitativ komparativ analys har utförts på 39 gravar innehållande rovfågelben. Även en djupare analys av gravarna i Rickeby, Sunnerby och Vårberg har genomförts. Analyserna visade att inte alla gravar innehållande rovfågel är högstatusgravar och att rovfåglarnas närvaro troligtvis är mer komplext än enbart falkenering. Jakt med rovfågel kan delas in i nöjesfalkenering och yrkesfalkenering och möjligtvis syns spår av detta bland de undersökta gravarna. Studien visar att tidigare antaganden om att rovfåglar indikerar falkenering, att de enbart hittas i högstatusgravar och att falkenering enbart är en sport för eliten inte är tillräckliga. / Falconry has been a part of Swedish culture since the 6th century AD when the first traces of birds of prey appear in graves from the Mälardalen area and has been classified as a cultural heritage by UNESCO since 2021. The practice of hunting with birds of prey during the Late Iron Age in Scandinavia is an underrepresented subject in archaeological studies. The focus has previously been on confirming the presence of raptors in graves, tracing the origin of the practice and confirming the status of an individual. A definition of falconry and criteria for identifying a falconry grave have been developed followed by a qualitative comparative analysis of 39 graves containing raptor bones. A more thorough analysis of the graves in Rickeby, Sunnerby and Vårberg has also been carried out. The results showed that not all graves containing birds of prey are high-status graves and that the presence of raptors is more complex than to be explained by falconry alone. Hunting with raptors can be divided into falconry for entertainment and professional falconry. Traces of the division might be possible to observe among the graves examined. The study shows that previous assumptions that the presence of raptors indicate falconry, that they are only found in high-status graves and that falconry is a sport for the elite are not sufficient.
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Fluctuations quantiques et effets non-linéaires dans les condensats de Bose-Einstein : des ondes de choc dispersives au rayonnement de Hawking acoustique / Quantum fluctuations and nonlinear effects in Bose-Einstein condensates : From dispersive shock waves to acoustic Hawking radiationLarré, Pierre-Élie 20 September 2013 (has links)
Cette thèse est dédiée à l'étude de l'analogue du rayonnement de Hawking dans les condensats de Bose-Einstein. Le premier chapitre présente de nouvelles configurations d'intérêt expérimental permettant de réaliser l'équivalent acoustique d'un trou noir gravitationnel dans l'écoulement d'un condensat atomique unidimensionnel. Nous donnons dans chaque cas une description analytique du profil de l'écoulement, des fluctuations quantiques associées et du spectre du rayonnement de Hawking. L'analyse des corrélations à deux corps de la densité dans l'espace des positions et des impulsions met en évidence l'émergence de signaux révélant l'effet Hawking dans nos systèmes. En démontrant une règle de somme vérifiée par la matrice densité à deux corps connexe, on montre que les corrélations à longue portée de la densité doivent être associées aux modifications diagonales de la matrice densité à deux corps lorsque l'écoulement du condensat présente un horizon acoustique. Motivés par des études expérimentales récentes de profils d'onde générés dans des condensats de polaritons en microcavité semi-conductrice, nous analysons dans un second chapitre les caractéristiques superfluides et dissipatives de l'écoulement autour d'un obstacle localisé d'un condensat de polaritons unidimensionnel obtenu par pompage incohérent. Nous examinons la réponse du condensat dans la limite des faibles perturbations et au moyen de la théorie de Whitham dans le régime non-linéaire. On identifie un régime dépendant du temps séparant deux types d'écoulement stationnaire et dissipatif : un principalement visqueux à faible vitesse et un autre caractérisé par un rayonnement de Cherenkov d'ondes de densité à grande vitesse. Nous présentons enfin des effets de polarisation obtenus en incluant le spin des polaritons dans la description du condensat et montrons dans le troisième chapitre que des effets similaires en présence d'un horizon acoustique pourraient être utilisés pour démontrer expérimentalement le rayonnement de Hawking dans les condensats de polaritons. / This thesis is devoted to the study of the analogue of Hawking radiation in Bose-Einstein condensates. The first chapter presents new configurations of experimental interest making it possible to realize the acoustic equivalent of a gravitational black hole in the flow of a one-dimensional atomic condensate. In each case we give an analytical description of the flow pattern, the associated quantum fluctuations, and the spectrum of Hawking radiation. Analysis of the two-body density correlations in position and momentum space emphasizes the occurrence of signals revealing the Hawking effect in our systems. By demonstrating a sum rule verified by the connected two-body density matrix we show that the long-range density correlations have to be associated to the diagonal modifications of the two-body density matrix when the flow of the condensate presents an acoustic horizon. Motivated by recent experimental studies of wave patterns generated in semiconductor microcavity polariton condensates we analyze in a second chapter superfluid and dissipative characteristics of the flow of a nonresonantly pumped one-dimensional polariton condensate past a localized obstacle. We examine the response of the condensate in the weak-perturbation limit and by means of Whitham theory in the nonlinear regime. We identify a time-dependent regime separating two types of stationary and dissipative flow: a mostly viscous one at low velocity and another one characterized by Cherenkov radiation of density waves at large velocity. Finally we present polarization effects obtained by including the spin of polaritons in the description of the condensate and show in the third chapter that similar effects in the presence of an acoustic horizon could be used to experimentally demonstrate Hawking radiation in polariton condensates.
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Effets dispersifs et dissipatifs en théorie quantique des champs en espace-temps courbe pour modéliser des systèmes de matière condensée / Dispersive and dissipative effects in quantum field theory in curved space-time to modelize condensed matter systemsBusch, Xavier 26 September 2014 (has links)
Les deux principales prédictions de la théorie quantique des champs en espace-temps courbe, à savoir la radiation de Hawking et la production de paires de particules ayant lieu dans un espace-temps non stationnaire, n'ont jamais été testé expérimentalement et impliquent toutes deux des processus à ultra haute énergie. En conséquence, de telles prédictions doivent être considérées prudemment. En utilisant l'analogie avec des systèmes de matière condensée mise en avant par Unruh, leur analogue pourrait être testé en laboratoire. Par ailleurs, dispersion et dissipation sont toujours présentes dans de tels systèmes, ce qui régularise la théorie à courte distances. Lors d'expériences destinées à tester les prédictions citées ci-dessus, le bruit thermique modifiera le résultat. En effet, il existe une compétition entre l'émission stimulée dudit bruit thermique et l'émission spontanée issue du vide quantique. Afin de mesurer la radiation de Hawking analogue et de l'analogue des productions de paires (souvent appelé effet Casimir dynamique), il est alors nécessaire de calculer les conséquence de la dispersion et de la dissipation, ainsi que d'identifier des observables permettant de certifier que l'amission spontanée a eu lieu. Dans cette thèse, nous analyserons d'abord les effets de la dispersion et de la dissipation à la fois sur la radiation de Hawking et sur la production de paires de particules. Afin d'obtenir des résultats explicites, nous travaillerons avec l'espace-temps de de Sitter. Les symétries de la théorie nous permettront d'obtenir des résultats exacts. Ceux-ci seront alors appliqués aux trous noirs grâce aux ressemblances entre la région proche du trou noir et l'espace de de Sitter. Afin d’introduire de la dissipation, nous considérerons un modèle exactement soluble permettant de modéliser n'importe quel taux de dissipation. Dans un tel modèle, le champ est couplé de manière linéaire à un environnement contenant un ensemble dense de degrés de liberté. Dans un tel contexte, nous étudierons l'intrication des particules produites. Ensuite, nous considérerons des systèmes de matière condensée spécifiques, à savoir les condensats de Bose et les polaritons. Nous analyserons les effets de la dissipation sur l'intrication de l’effet Casimir dynamique. Enfin, nous étudieront de manière générique l'intrication de la radiation de Hawking en présence de dispersion pour des systèmes analogues. / 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 considered with caution. Using the analogy with condensed matter systems put forward by Unruh, their analogue versions could be tested in the lab. Moreover, the high energy behavior of these systems is known and involved dispersion and dissipation, which regulate the theory at short distances. When considering experiments which aim to test the above predictions, the thermal noise will contaminate the outcome. Indeed, there will be a competition between the stimulated emission from thermal noise and the spontaneous emission out of vacuum. In order to measure the quantum analogue Hawking radiation, or the analogue pair production also called dynamical Casimir effect, one should thus compute the consequences of ultraviolet dispersion and dissipation, and identify observables able to establish that the spontaneous emission took place. In this thesis, we first analyze the effects of dispersion and dissipation on both Hawking radiation and pair particle production. To get explicit results, we work in the context of de Sitter space. Using the extended symmetries of the theory in such a background, exact results are obtained. These are then transposed to the context of black holes using the correspondence between de Sitter space and the black hole near horizon region. To introduce dissipation, we consider an exactly solvable model producing any decay rate. In such a model, the field is linearly coupled to an environment containing a dense set of degrees of freedom. We also study the quantum entanglement of the particles so produced. In a second part, we consider explicit condensed matter systems, namely Bose Einstein condensates and exciton-polariton systems. We analyze the effects of dissipation on entanglement produced by the dynamical Casimir effect. As a final step, we study the entanglement of Hawking radiation in the presence of dispersion for a generic analogue system.
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The quantum vacuum near time-dependent dielectricsBugler-Lamb, Samuel Lloyd January 2017 (has links)
The vacuum, as described by Quantum Field Theory, is not as empty as classical physics once led us to believe. In fact, it is characterised by an infinite energy stored in the ground state of its constituent fields. This infinite energy has real, tangible effects on the macroscopic clusters of matter that make up our universe. Moreover, the configuration of these clusters of matter within the vacuum in turn influences the form of the vacuum itself and so forth. In this work, we shall consider the changes to the quantum vacuum brought about by the presence of time-dependent dielectrics. Such changes are thought to be responsible for phenomena such as the simple and dynamical Casimir effects and Quantum Friction. After introducing the physical and mathematical descriptions of the electromagnetic quantum vacuum, we will begin by discussing some of the basic quasi-static effects that stem directly from the existence of an electromagnetic ground state energy, known as the \textit{zero-point energy}. These effects include the famous Hawking radiation and Unruh effect amongst others. We will then use a scenario similar to that which exhibits Cherenkov radiation in order to de-mystify the 'negative frequency' modes of light that often occur due to a Doppler shift in the presence of media moving at a constant velocity by showing that they are an artefact of the approximation of the degrees of freedom of matter to a macroscopic permittivity function. Here, absorption and dissipation of electromagnetic energy will be ignored for simplicity. The dynamics of an oscillator placed within this moving medium will then be considered and we will show that when the motion exceeds the speed of light in the dielectric, the oscillator will begin to absorb energy from the medium. It will be shown that this is due to the reversal of the 'radiation damping' present for lower velocity of stationary cases. We will then consider how the infinite vacuum energy changes in the vicinity, but outside, of this medium moving with a constant velocity and show that the presence of matter removes certain symmetries present in empty space leading to transfers of energy between moving bodies mediated by the electromagnetic field. Following on from this, we will then extend our considerations by including the dissipation and dispersion of electromagnetic energy within magneto-dielectrics by using a canonically quantised model referred to as 'Macroscopic QED'. We will analyse the change to the vacuum state of the electromagnetic field brought about by the presence of media with an arbitrary time dependence. It will be shown that this leads to the creation of particles tantamount to exciting the degrees of freedom of both the medium and the electromagnetic field. We will also consider the effect these time-dependencies have on the two point functions of the field amplitudes using the example of the electric field. Finally, we will begin the application of the macroscopic QED model to the path integral methods of quantum field theory with the purpose of making use of the full range of perturbative techniques that this entails, leaving the remainder of this adaptation for future work.
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Fluctuations quantiques et effets non-linéaires dans les condensats de Bose-Einstein : des ondes de choc dispersives au rayonnement de Hawking acoustiqueLarré, Pierre-Élie 20 September 2013 (has links) (PDF)
Cette thèse est dédiée à l'étude de l'analogue du rayonnement de Hawking dans les condensats de Bose-Einstein. Le premier chapitre présente de nouvelles configurations d'intérêt expérimental permettant de réaliser l'équivalent acoustique d'un trou noir gravitationnel dans l'écoulement d'un condensat atomique unidimensionnel. Nous donnons dans chaque cas une description analytique du profil de l'écoulement, des fluctuations quantiques associées et du spectre du rayonnement de Hawking. L'analyse des corrélations à deux corps de la densité dans l'espace des positions et des impulsions met en évidence l'émergence de signaux révélant l'effet Hawking dans nos systèmes. En démontrant une règle de somme vérifiée par la matrice densité à deux corps connexe, on montre que les corrélations à longue portée de la densité doivent être associées aux modifications diagonales de la matrice densité à deux corps lorsque l'écoulement du condensat présente un horizon acoustique. Motivés par des études expérimentales récentes de profils d'onde générés dans des condensats de polaritons en microcavité semi-conductrice, nous analysons dans un second chapitre les caractéristiques superfluides et dissipatives de l'écoulement autour d'un obstacle localisé d'un condensat de polaritons unidimensionnel obtenu par pompage incohérent. Nous examinons la réponse du condensat dans la limite des faibles perturbations et au moyen de la théorie de Whitham dans le régime non-linéaire. On identifie un régime dépendant du temps séparant deux types d'écoulement stationnaire et dissipatif : un principalement visqueux à faible vitesse et un autre caractérisé par un rayonnement de Cherenkov d'ondes de densité à grande vitesse. Nous présentons enfin des effets de polarisation obtenus en incluant le spin des polaritons dans la description du condensat et montrons dans le troisième chapitre que des effets similaires en présence d'un horizon acoustique pourraient être utilisés pour démontrer expérimentalement le rayonnement de Hawking dans les condensats de polaritons.
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The derivation and quasinormal mode spectrum of acoustic anti-de sitter black hole analoguesBabb, James Patrick 08 March 2013 (has links)
Dumb holes (also known as acoustic black holes) are fluid flows which include an "acoustic horizon:" a surface, analogous to a gravitational horizon, beyond which sound may pass but never classically return. Soundwaves in these flows will therefore experience "effective geometries" which are identical to black hole spacetimes up to a conformal factor. By adjusting the parameters of the fluid flow, it is possible to create an effective geometry which is conformal to the Anti-de Sitter black hole spacetime- a geometry which has recieved a great deal of attention in recent years due to its conjectured holographic duality to Conformal Field Theories. While we would not expect an acoustic analogue of the AdS-CFT correspondence to exist, this dumb hole provides a means, at least in principle, of experimentally testing the theoretical properties of the AdS spacetime. In particular, I have calculated the quasinormal mode spectrum of this acoustic geometry. / Graduate / 0986 / 0753 / jpbabb@yahoo.ca
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