Stochastic collision model approach to transport phenomena in quantum networks

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

“…As a result different new structures of master equations both in timelocal and integro-differential form describing trace preserving and completely positive dynamics which are not of semigroup form have been devised. A related use of CMs is as paradigm for the description of quantum transport [21][22][23], in which the use of standard Lindblad master equations has also shown important shortcomings [24]. To name a few other directions we recall the use of CMs in the description of random interactions [25][26][27][28][29][30], in modelling quantum synchronisation [31],…”

“…As a result different new structures of master equations both in time-local and integro-differential form describing tracepreserving and completely positive dynamics which are not of semigroup form have been devised. A related use of CMs is as paradigm for the description of quantum transport [21][22][23], in which the use of standard Lindblad master equations has also shown important shortcomings [24]. To name a few other directions we recall the use of CMs in the description of random interactions [25][26][27][28][29][30], in modelling quantum synchronisation [31], information scrambling [32], thermometry [33], quantum steering [34], entanglement generation [35], stroboscopic implementation of and non-Markovian effects on heat engines/refrigerators [36][37][38][39], entropy production [40], classical objectivity [41,42], quantum memories [43] and thermalisation [44,45].…”