[arrays] Read tab-separated file line into array

If you really want to split every word (bash meaning) into a different array index completely changing the array in every while loop iteration, @ruakh's answer is the correct approach. But you can use the read property to split every read word into different variables column1, column2, column3 like in this code snippet

while IFS=$'\t' read -r column1 column2 column3 ; do
  printf "%b\n" "column1<${column1}>"
  printf "%b\n" "column2<${column2}>"
  printf "%b\n" "column3<${column3}>"
done < "myfile"

to reach a similar result avoiding array index access and improving your code readability by using meaningful variable names (of course using columnN is not a good idea to do so).