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Title
PT-symmetric systems in the quantum regime / Julian Huber
Additional Titles
PT Symmetriebrechung in Quantensytemen
AuthorHuber, Julian
CensorRabl, Peter
PublishedWien, 2016
Descriptionv, 79 Blätter : Illustrationen, Diagramme
Institutional NoteTechnische Universität Wien, Diplomarbeit, 2016
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Abweichender Titel nach Übersetzung der Verfasserin/des Verfassers
LanguageEnglish
Document typeThesis (Diplom)
Keywords (DE)Quantenoptik / dissipative Quantensysteme
Keywords (EN)quantum optics / open quantum systems
URNurn:nbn:at:at-ubtuw:1-5299 Persistent Identifier (URN)
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 The work is publicly available
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Abstract (English)

The phenomenon of PT-symmetric breaking in classical systems with balanced loss and gain is associated with a sharp transition from a purely real to complex eigenvalue spectrum of the underlying dynamical matrix. Over the past years this phenomenon has been extensively studied, for example, using coupled optical modes, where however, the system is always in a large amplitude classical state. In this thesis we study for the first time the effect of PT-symmetry breaking in the quantum regime where the effects of non-linearities and intrinsic quantum noise become important. In the first part we analyze the stationary states of two coupled harmonic oscillators with engineered loss and gain. By applying different numerical techniques to solve the corresponding master equation for this system we observe an unconventional transition from a high-noise symmetric state to a parity-broken lasing state with strongly reduced fluctuations. Moreover, we show that the transition point strongly depends on the quantumness of the system. In the second part we develop numerical techniques for the simulation of extended PT-symmetric spin chains, which we use to demonstrate a crossover from a symmetric to a symmetry broken phase also for finite dimensional quantum systems.

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