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We numerically study the Hamiltonian lattice formulation of the two-flavorSchwinger model using matrix product states. Keeping the mass of the firstflavor at a fixed positive value, we tune the mass of the second flavor througha range of negative values, thus exploring a regime where conventional MonteCarlo methods suffer from the sign problem and may run into instabilities dueto zero modes. Our results indicate a phase transition at the point where theabsolute value of the second flavor mass approaches the first flavor mass. Thephase transition is accompanied by the formation of a fermion condensate, asteep drop of the average electric field, and a peak in the bipartiteentanglement entropy. Our data hints at a second order transition, which is the1+1D analog of the CP-violating Dashen phase transition in QCD.

CP-violating Dashen phase transition in the two-flavor Schwinger model: a study with matrix product states