Quantum communication and metrology in curved spacetime

In this thesis we study relativistic effects on quantum systems. Quantum physics in curved spacetime is reviewed in a first place, with a focus on continuous variables formalism, quantum metrology techniques, and the relativistic treatment of polarised photons. Then, three topics of interest are stu...

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Main Author: Kohlrus, Jan
Format: Thesis (University of Nottingham only)
Language:English
Published: 2019
Subjects:
Online Access:https://eprints.nottingham.ac.uk/56027/
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author Kohlrus, Jan
author_facet Kohlrus, Jan
author_sort Kohlrus, Jan
building Nottingham Research Data Repository
collection Online Access
description In this thesis we study relativistic effects on quantum systems. Quantum physics in curved spacetime is reviewed in a first place, with a focus on continuous variables formalism, quantum metrology techniques, and the relativistic treatment of polarised photons. Then, three topics of interest are studied. The first one is the phononic gravitational wave detector, where resonant mode-mixing and particle creation are triggered in a Bose-Einstein condensate by the passing of a gravitational wave, which can then be measured thanks to quantum metrology techniques. The theory for the phonons’ transformation is developed in details in different resonance scenarios and some sources of noise are considered, like shaking of the cavity where the condensate is trapped and thermal noise. The second topic adressed is quantum communication and metrology in space. In this part, we describe quantum experiments involving communications between Earth and satellites using frequency modes of photons. The propagated and measured photons encode parameters of the spacetime background that can be measured using quantum metrology. Several satellite schemes are discussed, such as satellite to satellite radial communications in Kerr spacetime or Earth to satellite communications in Schwarzschild spacetime. The last topic of this thesis is the evolution of helicity states of photons in a relativistic picture. Two experiments are considered: one where the photons propagate between Earth and satellites through the curved spacetime background surrounding the Earth. The other experiment looks at quantum states of polarised photons as seen by centrifuged observers. For each of these parts, we provide the theory for novel experimental proposals, within the frameworks of either (or both) quantum communications and quantum metrology, that, we believe, would lead to a better understanding in the overlap of quantum mechanics and the relativity theories.
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spelling nottingham-560272025-02-28T14:23:09Z https://eprints.nottingham.ac.uk/56027/ Quantum communication and metrology in curved spacetime Kohlrus, Jan In this thesis we study relativistic effects on quantum systems. Quantum physics in curved spacetime is reviewed in a first place, with a focus on continuous variables formalism, quantum metrology techniques, and the relativistic treatment of polarised photons. Then, three topics of interest are studied. The first one is the phononic gravitational wave detector, where resonant mode-mixing and particle creation are triggered in a Bose-Einstein condensate by the passing of a gravitational wave, which can then be measured thanks to quantum metrology techniques. The theory for the phonons’ transformation is developed in details in different resonance scenarios and some sources of noise are considered, like shaking of the cavity where the condensate is trapped and thermal noise. The second topic adressed is quantum communication and metrology in space. In this part, we describe quantum experiments involving communications between Earth and satellites using frequency modes of photons. The propagated and measured photons encode parameters of the spacetime background that can be measured using quantum metrology. Several satellite schemes are discussed, such as satellite to satellite radial communications in Kerr spacetime or Earth to satellite communications in Schwarzschild spacetime. The last topic of this thesis is the evolution of helicity states of photons in a relativistic picture. Two experiments are considered: one where the photons propagate between Earth and satellites through the curved spacetime background surrounding the Earth. The other experiment looks at quantum states of polarised photons as seen by centrifuged observers. For each of these parts, we provide the theory for novel experimental proposals, within the frameworks of either (or both) quantum communications and quantum metrology, that, we believe, would lead to a better understanding in the overlap of quantum mechanics and the relativity theories. 2019-03-15 Thesis (University of Nottingham only) NonPeerReviewed application/pdf en arr https://eprints.nottingham.ac.uk/56027/1/PhD%20thesis%20with%20corrections%20Jan%20Kohlrus.pdf Kohlrus, Jan (2019) Quantum communication and metrology in curved spacetime. PhD thesis, University of Nottingham. Relativistic effects Quantum systems; Phononic gravitational wave detector; Quantum communication; Evolution of helicity states of photons
spellingShingle Relativistic effects
Quantum systems; Phononic gravitational wave detector; Quantum communication; Evolution of helicity states of photons
Kohlrus, Jan
Quantum communication and metrology in curved spacetime
title Quantum communication and metrology in curved spacetime
title_full Quantum communication and metrology in curved spacetime
title_fullStr Quantum communication and metrology in curved spacetime
title_full_unstemmed Quantum communication and metrology in curved spacetime
title_short Quantum communication and metrology in curved spacetime
title_sort quantum communication and metrology in curved spacetime
topic Relativistic effects
Quantum systems; Phononic gravitational wave detector; Quantum communication; Evolution of helicity states of photons
url https://eprints.nottingham.ac.uk/56027/