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Uncomputability of Phase Diagrams
[article]
2019
arXiv
pre-print
The phase diagram of a material is of central importance to describe the properties and behaviour of a condensed matter system. We prove that the general task of determining the quantum phase diagram of a many-body Hamiltonian is uncomputable, by explicitly constructing a one-parameter family of Hamiltonians for which this is the case. This work builds off recent results from Cubitt et al. and Bausch et al., proving undecidability of the spectral gap problem. However, in all previous
arXiv:1910.01631v1
fatcat:azmuyephnbhy3gy7sxttcurn4q