A method for interleaving time slots in a multi-antenna system for communication with RFID tags is described. An exemplary system has a first RFID interrogator and first and second antennas. The first and second antennas direct signals to and receive signals from respective first and second interrogation zones. A first interrogation signal is transmitted to the first antenna. A first acquire window for receiving a signal from a first RFID transponder is opened after the first interrogation signal. A second interrogation signal is transmitted to the second antenna after the first interrogation signal, and a second acquire window for receiving a signal from a second RFID transponder is opened after the second interrogation signal.