Boundary-CFT scaling dimensions and central charge can be reconstructed from the system-size dependence and phase of Loschmidt echoes after a critical quench, bypassing ground-state preparation.
Cardy, Operator content of two-dimensional conformally invariant theories, Nuclear Physics B270, 186 (1986)
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Extracting conformal data from Loschmidt echoes after critical quenches
Boundary-CFT scaling dimensions and central charge can be reconstructed from the system-size dependence and phase of Loschmidt echoes after a critical quench, bypassing ground-state preparation.