Efficient Simulation of Finite Temperature Open Quantum Systems

We present the state of the art of TEDOPA (Time Evolving Density operator with Orthogonal PolynomiAls), a numerically exact simulation method for open quantum systems interacting with structured baths. We show how, by exploiting the chain mapping of the bath modes, TEDOPA is able to unleash the power of Tensor Networks methods to exponentially reduce the effective dimension of the extended system+bath state. We moreover show how the application of a thermofield-like transformation allows to efficiently extend the application of TEDOPA to open quantum systems interacting with finite temperature baths.