Superdiffusive Energy Transport in Kinetically Constrained Models
- URL: http://arxiv.org/abs/2210.01146v1
- Date: Mon, 3 Oct 2022 18:00:22 GMT
- Title: Superdiffusive Energy Transport in Kinetically Constrained Models
- Authors: Marko Ljubotina, Jean-Yves Desaules, Maksym Serbyn, Zlatko Papi\'c
- Abstract summary: We study infinite-temperature energy transport in the kinetically-constrained PXP model describing Rydberg atom quantum simulators.
Our results suggest constrained models to be potential hosts of novel transport regimes.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Universal nonequilibrium properties of isolated quantum systems are typically
probed by studying transport of conserved quantities, such as charge or spin,
while transport of energy has received considerably less attention. Here, we
study infinite-temperature energy transport in the kinetically-constrained PXP
model describing Rydberg atom quantum simulators. Our state-of-the-art
numerical simulations, including exact diagonalization and time-evolving block
decimation methods, reveal the existence of two distinct transport regimes. At
moderate times, the energy-energy correlation function displays periodic
oscillations due to families of eigenstates forming different su(2)
representations hidden within the spectrum. These families of eigenstates
generalize the quantum many-body scarred states found in previous works and
leave an imprint on the infinite-temperature energy transport. At later times,
we observe a broad superdiffusive transport regime that we attribute to the
proximity of a nearby integrable point. Intriguingly, strong deformations of
the PXP model by the chemical potential do not restore diffusion, but instead
lead to a stable superdiffusive exponent $z\approx3/2$. Our results suggest
constrained models to be potential hosts of novel transport regimes and call
for developing an analytic understanding of their energy transport.
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