Kavli Affiliate: Natalia Chepiga
| First 5 Authors: Natalia Chepiga, , , ,
| Summary:
We explore the universal signatures of quantum phase transitions that can be
extracted with the density matrix renormalization group (DMRG) algorithm
applied to quantum chains with a gradient. We present high-quality data
collapses for the order parameter and for the entanglement entropy for three
minimal models: transverse-field Ising, 3-state Potts and Ashkin-Teller.
Furthermore, we show that scan-DMRG successfully captures the universal
critical scaling when applied across the magnetic Wess-Zumino-Witten and
non-magnetic Ising transitions in the frustrated Haldane chain. In addition, we
report a universal scaling of the lowest excitation energy as a function of a
gradient rate. Finally, we argue that the scan-DMRG approach has significantly
lower computational cost compare to the conventional DMRG protocols to study
quantum phase transitions.
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