Particle mixing, two level systems and gauge theory

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Abstract
In this thesis I will discuss the theory of two level systems and the theory
of the oscillating particles in quantum eld theory.
In the rst chapter I will consider the time evolution of a two level system,
a qubit, to show that it has inside a local in time gauge invariant evolution
equation. I construct the covariant derivative operator and show that it is
related to the free energy. The gauge invariance of the time evolution of the
two level system is analogous to the phenomenon of birefringence.I also show
that the two level systems present a Berrylike and an AnandanAharonov
phase. Finally, I discuss entropy environment e ects and the distance in
projective Hilbert space between two level states to show that the last one
is properly related to the Aharonov  Anandan phase.
In the second chapter I review the result obtained in QFT for particle mix
ing, analyzing the theoretical construction and the oscillation formula in the
fermion case.I will emphasize the di erences between the quantum mechan
ics formulas and the QFT formulas.The unitary inequivalence between the
avor and the mass eigenstates is also shown and the structure of the current
for charged elds is nally discussed. I found a non  perturbative vacuum
structure for the mixing particles that, among the other things, will lead to
a non zero contribution to the value of the cosmological constant (chapter
3).
Several links between rst and second chapter will arise from this thesis and
will shed the light on the fact that it is possible to construct a generic two
level quantum eld theory, that is an extension of the quantum mechanics
bit theory in a quantum eld theory framework. [edited by author]
Descrizione
2010  2011
Collections
Data
20120426Autore
Raimondo, Gianluca
Metadata
Mostra tutti i dati dell'itemAutori  Raimondo, Gianluca  
Data Realizzazione  20140514T11:42:18Z  
Date Disponibilità  20140514T11:42:18Z  
Data di Pubblicazione  20120426  
Identificatore (URI)  http://hdl.handle.net/10556/1304  
Identificatore (URI)  http://dx.doi.org/10.14273/unisa182  
Descrizione  2010  2011  en_US 
Abstract  In this thesis I will discuss the theory of two level systems and the theory of the oscillating particles in quantum eld theory. In the rst chapter I will consider the time evolution of a two level system, a qubit, to show that it has inside a local in time gauge invariant evolution equation. I construct the covariant derivative operator and show that it is related to the free energy. The gauge invariance of the time evolution of the two level system is analogous to the phenomenon of birefringence.I also show that the two level systems present a Berrylike and an AnandanAharonov phase. Finally, I discuss entropy environment e ects and the distance in projective Hilbert space between two level states to show that the last one is properly related to the Aharonov  Anandan phase. In the second chapter I review the result obtained in QFT for particle mix ing, analyzing the theoretical construction and the oscillation formula in the fermion case.I will emphasize the di erences between the quantum mechan ics formulas and the QFT formulas.The unitary inequivalence between the avor and the mass eigenstates is also shown and the structure of the current for charged elds is nally discussed. I found a non  perturbative vacuum structure for the mixing particles that, among the other things, will lead to a non zero contribution to the value of the cosmological constant (chapter 3). Several links between rst and second chapter will arise from this thesis and will shed the light on the fact that it is possible to construct a generic two level quantum eld theory, that is an extension of the quantum mechanics bit theory in a quantum eld theory framework. [edited by author]  en_US 
Lingua  en  en_US 
Editore  Universita degli studi di Salerno  en_US 
Soggetto  Mixing  en_US 
Soggetto  Qbit  en_US 
Soggetto  Gauge  en_US 
Soggetto  QFT  en_US 
Titolo  Particle mixing, two level systems and gauge theory  en_US 
Tipo  Doctoral Thesis  en_US 
MIUR  FIS/02 FISICA TEORICA, MODELLI E METODI MATEMATICI  en_US 
Coordinatore  Grella, Giuseppe  en_US 
Ciclo  X n.s.  en_US 
Tutor  Vitiello, Giuseppe  en_US 
Dipartimento  Fisica  en_US 