Study of critical disordered systems coupled to the continuum
Calderón Chávez, Nahum
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“In this thesis, we study paradigmatic quantum systems coupled to external environments which can be unbounded or bounded. An unbounded external environment can be characterized by few decay channels, where the excitation can be lost. Due to the competition of the states of the system to decay in few channels of the external environment, cooperative eects such as superradiance and subradiance can be induced. Together with the coupling to an unbounded environment, we also consider a bounded external environment. Such coupling will induce a transition to a gapped regime, where the ground state is separated from the other excited states. In order to study the eect of the coupling to external environments on quantum transport, we intend to analyze three dierent models. e rst model that we consider is the Power-law Banded Random Matrix (PBRM) model. E PBRM represents 1D tight-binding chains with long-range random hopping.”
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