Quantum collision models
Giorno 27 gennaio 2020, con inizio alle ore 9:00, presso l'Aula D del DFA, su invito dei Professori Giuseppe Falci e Alessandro Ridolfo, il Dr Francesco Ciccarello (NEST, Istituto Nanoscienze-CNR & University of Palermo, Italy) terrà un seminario/lezione dal titolo: Quantum collision models: a tutorial.
Tutti gli interessati sono invitati a partecipare.
A collision model (or repeated-interactions model or conveyor-belt model) is a simple theoretical framework in which a system S undergoes successive interactions (“collisions”) with the subunits of a large environment [1-4]. Currently, quantum collision models are being used more and more in research areas such as non-Markovian quantum dynamics , quantum thermodynamics (where they became a standard tool by now) , quantum optics  and, in some respects, even quantum gravity .
This tutorial aims at introducing some basic concepts of Markovian quantum collision models. Given the remarkable simplicity of collision models and their intimate connection with a number of central concepts/tools in open quantum systems theory - such as quantum maps, the Stinespring dilation theorem, the Lindblad master equation and quantum trajectories - the tutorial can also be seen as a pedagogical, short introduction to open quantum systems theory itself.
The standard model of quantum optics treating the field as a white-noise bosonic bath is an important microscopic scenario which can be exactly mapped into a collision model. We will show this in some detail and use the same framework for the classroom demonstrations (second seminar). These will illustrate how spontaneous/stimulated decay and optical Bloch equations can be derived ab initio from a fully quantum atom-field model through a collision-model approach.
- elementary quantum mechanics;
- a minimum acquaintance with atom-field interaction when the field is quantized;
- a minimum familiarity with the density-matrix language would help, although we will briefly review it in the beginning.
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