@RequestParam in Spring MVC handling optional parameters

Is it possible for a Spring controller to handle both kind of requests?

1) http://localhost:8080/submit/id/ID123432?logout=true

2) http://localhost:8080/submit/id/ID123432?name=sam&password=543432

If I define a single controller of the kind:

 @RequestMapping (value = "/submit/id/{id}", method = RequestMethod.GET,   
 produces="text/xml")
public String showLoginWindow(@PathVariable("id") String id,
                              @RequestParam(value = "logout", required = false) String logout,
                              @RequestParam("name") String username,
                              @RequestParam("password") String password,
                              @ModelAttribute("submitModel") SubmitModel model,
                              BindingResult errors) throws LoginException {...}

the HTTP request with “logout” is not accepted.

If I define two controllers to handle each request separately, Spring complains with the exception “There is already ‘Controller’ bean method … mapped”.