In mice you may use the cell surface markers CD62L and CD44 to parse out naive, central & effector memory T cells and to some extend T cells with stem cell like properties depending on the tissue you plan to assess.
For the flow cytometry gating strategy check:
Article A role for the histone H2A deubiquitinase MYSM1 in maintenan...
Article Differential phenotypes of memory CD4 and CD8 T cells in the...
For antibodies check: https://www.rndsystems.com/product-highlights/antibodies-memory-t-cell-subset-identification
For a more detailed list of markers (including for human T cells) to interrogate the CD8 T cell compartment in depth see the following review: