In my opinion, disclosing the name of the future employer to the current one once you have submitted your resignation depends on the relationship or the bond between the current employer and the employee. One can divulge the name unofficially depending on the rapport and the nature of trust that exists between the two parties involved. However, officially, one shouldn't reveal the name of the future employer as it might have some negative repercussions for the outgoing employee, potentially creating problems before and after joining the new company.
Maintaining Relationships During Transition
The real question is, are you leaving with your relationships in your existing organization intact? If this is the case, then the answer is yes, by all means. By doing so, your existing organization may even help you in the transition. In the process, you only strengthen your network. If this is not the case, be discreet, but you need to reflect on why you want to hide it in the first place.
Sharing Information with Current Employer
It depends on the relationship between the employee and employer. One can share the name of the future employer as there is no major harm in revealing it, and it's always better to tell your current employer about your new employer instead of them getting the news from someone else. For a long-term relationship to be sustained, one should be forthcoming in sharing such information, and in turn, their employer would be happy with the openness displayed by the employees.
Regards
Maintaining Relationships During Transition
The real question is, are you leaving with your relationships in your existing organization intact? If this is the case, then the answer is yes, by all means. By doing so, your existing organization may even help you in the transition. In the process, you only strengthen your network. If this is not the case, be discreet, but you need to reflect on why you want to hide it in the first place.
Sharing Information with Current Employer
It depends on the relationship between the employee and employer. One can share the name of the future employer as there is no major harm in revealing it, and it's always better to tell your current employer about your new employer instead of them getting the news from someone else. For a long-term relationship to be sustained, one should be forthcoming in sharing such information, and in turn, their employer would be happy with the openness displayed by the employees.
Regards