Floquet dynamical phase transition and entanglement spectrum
- URL: http://arxiv.org/abs/2009.09484v2
- Date: Fri, 4 Jun 2021 13:58:07 GMT
- Title: Floquet dynamical phase transition and entanglement spectrum
- Authors: R. Jafari and Alireza Akbari
- Abstract summary: Floquet dynamical quantum phase transitions (FDQFTs) are studied in the one-dimensional p-wave superconductor.
We show that FDQFTs occur within a range of driving frequency without resorting to quenches.
We show that FDQFTs appear in the region where quasi-spins are in the resonance regime.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We explore both pure and mixed states Floquet dynamical quantum phase
transitions (FDQFTs) in the one-dimensional p-wave superconductor with a
time-driven pairing phase. In the Fourier space, the model is recast to the
non-interacting quasi-spins subjected to a time-dependent effective magnetic
field. We show that FDQFTs occur within a range of driving frequency without
resorting to any quenches. Moreover, FDQFTs appear in the region where
quasi-spins are in the resonance regime. In the resonance regime, the
population completely cycles the population between the spin down and up
states. Additionally, we study the conditions for the appearance of FDQFTs
using the entanglement spectrum and purity entanglement measure. Our results
imply that the entanglement spectrum can truly capture the resonance regime
where FDQFTs occur. Particularly, the dynamical topological region results in
the degeneracy of the entanglement spectrum. It is shown that the boundary of
the driven frequency range, over which the system reveals FDQFTs, signaled by
the purity entanglement measure.
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