Is the following code set up to correctly synchronize the calls on synchronizedMap?
public class MyClass {
  private static Map<String, List<String>> synchronizedMap = Collections.synchronizedMap(new HashMap<String, List<String>>());
  public void doWork(String key) {
    List<String> values = null;
    while ((values = synchronizedMap.remove(key)) != null) {
      //do something with values
    }
  }
  public static void addToMap(String key, String value) {
    synchronized (synchronizedMap) {
      if (synchronizedMap.containsKey(key)) {
        synchronizedMap.get(key).add(value);
      }
      else {
        List<String> valuesList = new ArrayList<String>();
        valuesList.add(value);
        synchronizedMap.put(key, valuesList);
      }
    }
  }
}
From my understanding, I need the synchronized block in addToMap() to prevent another thread from calling remove() or containsKey() before I get through the call to put() but I do not need a synchronized block in doWork() because another thread cannot enter the synchronized block in addToMap() before remove() returns because I created the Map originally with Collections.synchronizedMap().  Is that correct?  Is there a better way to do this?