Yes, you can date someone else after you separate from your spouse. There is nothing illegal or wrong about dating while married and waiting for your divorce as long as you are living separate and apart.
Can a spouse force you to move out?
In California, it is possible to legally force your spouse to move out of your home and stay away for a certain length of time. One can only get such a court order, however, if he or she shows assault or threats of assault in an emergency or the potential for physical or emotional harm in a non-emergency.
Can a separated wife claim my inheritance?
The short answer is yes. A common misconception is that once you divorce, you are no longer able to bring an inheritance claim against your exs estate when they die. However, a divorcee remains eligible to bring an inheritance claim against their ex wifes or ex husbands estate, so long as they have not remarried.