I couldn't find anything in the search regarding this topic. Only a couple that talked about the Han and Roman in relationship to each other but I'm more curious about how big and powerful the Han Dynasty really was in terms of external power. Or was much of it's praise in terms of internal function and stability.
Here's a basic bibliography for comparative studies between the Classical Mediterranean and Imperial China:
Pu, Muzhou, H. A. Drake, and Lisa Ann Raphals. 2017. Old society, new belief: religious transformation of China and Rome, ca. 1st-6th centuries. Oxford.
Scheidel, Walter. 2015. State power in ancient China and Rome. Oxford.
Beck, Hans, and Griet Vankeerberghen. 2021. Rulers and ruled in ancient Greece, Rome, and China. Cambridge.
Ford, Randolph B. 2020. Rome, China, and the barbarians: ethnographic traditions and the transformation of empires. Cambridge.
Nylan, Michael, Griet Vankeerberghen, and Michael Loewe. 2015. Chang'an 26 BCE: an Augustan Age in China. U. of Washington Press.
King, R. A. H., and Dennis R. Schilling. 2011. How should one live?: comparing ethics in ancient China and Greco-Roman antiquity. Berlin and Boston: De Gruyter.
Scheidel, Walter. 2011. Rome and China. ; Comparative Perspectives on Ancient World Empires. Oxford.
Mutschler, Fritz-Heiner, and Achim Mittag. 2008. Conceiving the empire: China and Rome compared. Oxford.