رسالة جامعية
The contribution of decoherence in the dynamics of open quantum spin chains ; Η επίδραση της αποσυνοχής στη δυναμική ανοικτών κβαντικών αλυσίδων σπιν
| العنوان: | The contribution of decoherence in the dynamics of open quantum spin chains ; Η επίδραση της αποσυνοχής στη δυναμική ανοικτών κβαντικών αλυσίδων σπιν |
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| المؤلفون: | Lyris, Ioannis, Λυρής, Ιωάννης |
| بيانات النشر: | National and Kapodistrian University of Athens Εθνικό και Καποδιστριακό Πανεπιστήμιο Αθηνών (ΕΚΠΑ) |
| سنة النشر: | 2021 |
| المجموعة: | National Archive of PhD Theses (National Documentation Centre Greece) |
| مصطلحات موضوعية: | Ολοκληρώματα διαδρομής, Γεωμετρική Κβάντωση, Path integrals, Geometric Quantization, Φυσική, Φυσικές Επιστήμες, Κβαντική επιστήμη και τεχνολογία, Physical Sciences, Natural Sciences, Quantum science and technology |
| الوصف: | In the present thesis the main goal is the construction of a consistent coherent-state path integral formalism in the continuum limit, for use in the study of both closed and open quantum systems. Under the scope of this study, the cases of bosonic, fermionic and spin coherent-state path integrals are considered.Bosonic and spin coherent-state path integrals are studied with the use of the theory of geometric quantization. Using this formalism, and understanding how the identification of the continuum limit of coherent-state path integrals relates to the topic of Kähler quantization, it is possible not only to approach the problem of interest, but also to gain new insight in the theory of Kähler quantization. More specifically, the correct continuum limit is proven to be identifiable through an inverse procedure to that of geometric quantization, leading at the same time to the first physical argument regarding the necessity of the metaplectic correction in the context of Kähler quantization. Fermionic coherent-state path integrals on the other hand are approached in a different context, in which the use of the Faddeev-Jackiw construction for constrained systems acts as an intermediate step for the identification of the correct continuum limit. The results of this approach are immediately applied in more complicated configurations, like the case of the spin-1/2 1D XY Heisenberg spin chain, with the goal of showcasing their correctness. This leads to many interesting results regarding the handling of correlation functions using this path integral formalism. The same formalism is later generalized in order to handle non-equilibrium dynamics, where the aforementioned construction is applied for the case of a time dependent transverse magnetic field, acting on the XY spin chain of interest.With the use of these two approaches it becomes then possible to proceed with the generalization and application of this formalism to the case of open quantum systems. Both cases of bosonic and fermionic systems are studied in ... |
| نوع الوثيقة: | doctoral or postdoctoral thesis |
| اللغة: | English |
| العلاقة: | http://hdl.handle.net/10442/hedi/49650Test |
| DOI: | 10.12681/eadd/49650 |
| الإتاحة: | https://doi.org/10.12681/eadd/49650Test http://hdl.handle.net/10442/hedi/49650Test |
| رقم الانضمام: | edsbas.89A4DBFB |
| قاعدة البيانات: | BASE |
| DOI: | 10.12681/eadd/49650 |
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