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The Lee-Yang theorem for the zeroes of the partition function is not strictlyapplicable to quantum systems because the zeroes are defined in units of thefugacity $e^{h\Delta\tau}$, and the Euclidean-time lattice spacing $\Delta\tau$can be divergent in the infrared (IR). We recently presented analytic argumentsdescribing how a new space-Euclidean time zeroes expansion can be defined,which reproduces Lee and Yang's scaling but avoids the unresolved branch pointsassociated with the breaking of nonlocal symmetries such as parity. We nowpresent a first numerical analysis for this new zeros approach for a quantumspin chain system. We use our scheme to quantify the renormalization group flowof the physical lattice couplings to the IR fixed point of this system. Weargue that the generic Finite-Size Scaling (FSS) function of our scheme isidentically the entanglement entropy of the lattice partition function and,therefore, that we are able to directly extract the central charge, $c$, of thequantum spin chain system using conformal predictions for the scaling of theentanglement entropy.

The Partition Function Zeroes of Quantum Critical Points