Finite-temperature entanglement transitions from strong non-Abelian symmetry
ORAL
Abstract
We study finite-temperature entanglement in spin systems with strong $\mathrm{SU}(2)$ symmetry, focusing on Heisenberg ferromagnets.
First, by considering an entanglement distillation protocol, we establish a relation between mixed-state entanglement and spin correlations.
Using this relation within a semiclassical path integral we then show that the distillable entanglement scales with system size $N$ as $\log \sqrt{N}$ in the paramagnetic phase. As the temperature is lowered through the thermal phase transition into the ferromagnetic phase, the distillable entanglement jumps to $\log N$, parametrically larger than in the paramagnet. This result demonstrates that the steady states of strongly symmetric quantum channels can exhibit entanglement transitions.
First, by considering an entanglement distillation protocol, we establish a relation between mixed-state entanglement and spin correlations.
Using this relation within a semiclassical path integral we then show that the distillable entanglement scales with system size $N$ as $\log \sqrt{N}$ in the paramagnetic phase. As the temperature is lowered through the thermal phase transition into the ferromagnetic phase, the distillable entanglement jumps to $\log N$, parametrically larger than in the paramagnet. This result demonstrates that the steady states of strongly symmetric quantum channels can exhibit entanglement transitions.
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Presenters
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Siqi Mo
- University of California, Berkeley