Description:

Abstract: Diffusion is the most commonly encountered type of transport in nature, in classical and quantum systems alike. The diffusive phenomenology is often associated with dissipative processes which, in the quantum setting, are expected to eventually lead to decoherence and the loss of quantum properties such as e.g entanglement  and the emergence of classical hydrodynamic laws such as the Ohm/Fourier/Fick’s law. Therefore, it is legitimate to ask whether there is anything quantum about quantum diffusion. We will propose an answer to this question by providing exact solutions to stochastic fermionic systems that display diffusive behavior. We will show that the fluctuations of quantum coherence have a non trivial structure that subsist in the thermodynamic limit. In particular, we will demonstrate for a model called the quantum symmetric simple exclusion process (Q-SSEP) that they satisfy a principle of large deviation of purely quantum nature

Speaker: Tony Jin, University of Chicago

Host: Anupam Garg