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Microscopic derivation of a thermalizing Lindblad equation for many-body systems

Despite the obvious fact that systems weakly coupled to a thermal bath will generically reach thermal equilibrium, up until recently this was proven to hold only for small quantum systems.

Indeed, the main ingredient needed in order to guarantee that thermality would be attained, the concept of detailed balance, in its most common expression leads to unphysical results when applied to systems comprised of many particles. In this talk we present a solution to this problem, describing how through a series of approximations of the global unitary evolution, one can obtain a provably thermalizing dynamics for the reduced density matrix of the system (regardless of its size), by using a refined notion of detailed balance that it is better suited for quantum systems. Moreover, we also provide error bounds on all our approximations that exponentially improve previous results from the literature.

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Speaker: Matteo Scandi (Instituto de Física Teórica, Madrid)

Time:  15:00 

 

Follow the talk here