A Brief Journey through Collision Models for Multipartite Open Quantum Dynamics

  title={A Brief Journey through Collision Models for Multipartite Open Quantum Dynamics},
  author={Marco Cattaneo and Gian Luca Giorgi and Roberta Zambrini and Sabrina Maniscalco},
  journal={Open Systems \& Information Dynamics},
The quantum collision models are a useful method to describe the dynamics of an open quantum system by means of repeated interactions between the system and some particles of the environment, which are usually termed “ancillas”. In this paper, we review the main collision models for the dynamics of multipartite open quantum systems, which are composed of several subsystems. In particular, we are interested in models that are based on elementary collisions between the subsystems and the ancillas… 
1 Citations

Figures from this paper



Quantum Collision Models: A Beginner Guide

In recent years, quantum collision models, sometimes dubbed repeated interaction models, have gained much attention due to their simplicity and their capacity to convey ideas without resorting to

Features of quantum thermodynamics induced by common environments based on collision model

The common reservoir can cause some unique effects, such as dark state and steady-state coherence, which are extensively studied in the dynamics of open quantum system. In this work, by means of

Reconciliation of quantum local master equations with thermodynamics

The study of open quantum systems often relies on approximate master equations derived under the assumptions of weak coupling to the environment. However when the system is made of several

Thermalization of Finite Many-Body Systems by a Collision Model

It is established that for classically correlated systems the collision model approach is effective, while it is also highlighted its shortcomings, in particular with regards to reaching entangled thermal states.

Collision models in open system dynamics: A versatile tool for deeper insights?

This Perspective paper focuses on collision models, which have emerged as a remarkably flexible approach to understanding non-Markovian dynamics and to studying the thermodynamics of quantum systems, two areas in which they have proven to be particularly insightful.

Master equation for cascade quantum channels: a collisional approach

It has been recently shown that collisional models can be used to derive a general form for the master equations which describe the reduced time evolution of a composite multipartite quantum system,

The thermodynamic cost of driving quantum systems by their boundaries

This work considers systems actively and locally coupled to the environment, evolving with a so-called boundary-driven Lindblad equation, and shows that an XX chain coupled to a left and a right heat baths behaves as a quantum engine, a heater or refrigerator depending on the parameters, with efficiencies bounded by Carnot efficiencies.

Markovian master equations for quantum thermal machines: local versus global approach

The study of quantum thermal machines, and more generally of open quantum systems, often relies on master equations. Two approaches are mainly followed. On the one hand, there is the widely used, but

Local versus global master equation with common and separate baths: superiority of the global approach in partial secular approximation

Open systems of coupled qubits are ubiquitous in quantum physics. Finding a suitable master equation to describe their dynamics is therefore a crucial task that must be addressed with utmost