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Nuclear quantum effects (NQEs) on the structures and transport properties ofdense liquid hydrogen at densities of 10-100 g/cm3 and temperatures of 0.1-1 eVare fully assessed using \textit{ab initio} path-integral molecular dynamicssimulations. With the inclusion of NQEs, ionic diffusions are strongly enhancedby the magnitude from 100% to 15% with increasing temperature, while electricalconductivities are significantly suppressed. The analyses of ionic structuresand zero-point energy show also the importance of NQEs in these regime. Thesignificant quantum delocalization of ions introduces expressively differentscattering cross section between protons compared with classical particletreatments, which can explain the large alterability of transport behaviors.Furthermore, the energy, pressure, and isotope effects are also greatlyinfluenced by NQEs. The complex behaviors show that NQEs can not be neglectedfor dense hydrogen even in the warm dense regime.

Revealing the Complex Transport Behaviors in Warm Dense Hydrogen by Including Nuclear Quantum Effects