Realizing Thermalization Via an Exact Simulation of a Finite Quantum Bath

Physics – Quantum Physics

Scientific paper

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4 pages, revtex 4, 2 png figures. v2: better results, further details

Scientific paper

We demonstrate the thermalization of a small but arbitrary quantum system by exactly simulating the unitary evolution of the system and a much larger but finite system (a "bath") to which it is coupled. While the universe, consisting of the system and bath, remains in a pure state, and undergoes a reversible evolution, the system equilibrates to the Boltzmann distribution. In this general canonical setting, we further show that the underlying mechanism for the relaxation is that of "eigenstate-thermalization".

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