Probing phase transition and underlying symmetry breaking via entanglement entropy scanning

Kavli Affiliate: Long Zhang

| First 5 Authors: Zhe Wang, Zehui Deng, Zenan Liu, Zhiyan Wang, Yi-Ming Ding

| Summary:

Entanglement takes a key role in quantum physics while how much information
it can extract from many-body systems is still an open question, particularly
for quantum criticalities and emergent symmetries. In this work, we
systematically study the entanglement entropy (EE) and its derivative (DEE)
near quantum phase transitions in various quantum many-body systems. An exact
one-parameter scaling relation between the DEE and system size at the critical
point has been derived for the first time, which successfully obtains the
critical exponent via data collapse. What’s more, we find that the EE peaks at
the (emergent) symmetry-enhanced first-order transition which reflects higher
symmetry breaking. This work provides a new paradigm for quantum many-body
research from the perspective of EE and DEE.

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