Open extended quantum systems

TL;DR

This paper introduces the theoretical framework of open extended quantum systems, covering derivations, models, and applications in quantum transport, entanglement, and cold atomic gases.

Contribution

It provides a comprehensive overview of the Lindblad equation, collision models, and their applications in various quantum phenomena, offering new insights into open quantum system dynamics.

Findings

Derivation of Lindblad equation from microscopic principles

Introduction of collision models for open quantum systems

Discussion of quantum transport and entanglement in experimental setups

Abstract

We present an introduction to the theory of open extended quantum systems. We begin with a microscopic derivation of the so-called Lindblad equation followed by a more abstract approach. Next, we introduce collision models, a versatile framework that offers a possible unraveling of the non-unitary dynamics of open quantum systems. We finally discuss concrete situations involving quantum transport phenomena, the generation and replication of entanglement or even the non-thermal relaxation of cold atomic gases confined in optical traps.