I'm assuming you are in North America, zone 4b is pretty cold in winter. Laurel oak, Quercus laurifolia, is a south eastern USA oak, the native range is mostly zones 8, 9 & 10. For winter in zone 4b you will need a cool place, that ideally stays between 28 F up to 40 F. This is roughly -2 C to + 4 C. You need to keep it below 4 C, or below 40 F if you want to keep it totally dormant for winter. The branches can probably survive to much colder temperatures, but the roots are likely intolerant of being frozen, as in zones 7, 8 & 9, if the ground freezes, it does not freeze very deep at all. It is in the red oak section Erythrobalanus but it retains its leaves all winter, it is a "live oak" meaning it keeps its leaves over winter.
If you winter it between 28 F and 40 F, you do not have to have light on it. It can be stored in the dark. This is because at those cold temps, metabolism is very low.
If you can not get the temperatures that low. It can be wintered warmer, in an area with cool nights, say below 55 F. but it will need a very bright location. Because above 40 F it will need light to make sugars for metabolism. Here a cool greenhouse would be idea.
You might be able to keep it going under lights in winter, especially if your lights set up is in a cool, unheated room that stays above freezing.
Hope that helps.