Numerical methods in the study of nonequilibrium strongly interacting quantum many-body physics

摘要

4.1 Setting the problem A lot of attention in quantum physics is paid to the properties of ground states of many-body systems-rightly so, because ground states form the basis for understanding a quantum system and often reveal interesting and unexpected phenomena at very low temperatures, where quantum effects dominate. However, it is quantum dynamics that is driving the unfolding history of our universe! Indeed, for most physicists, doing quantum physics in practice means dealing with the Schr?dinger equation, which governs the nonrelativistic dynamics of quantum systems, although conceptually the choice of a linear state space, the superposition principle, the tensor product nature of many-body state spaces, and the resulting phenomenon of entanglement are much more fundamental.