What you describe is called physical dependence, which differs from addiction because it does not involve getting high, does not involve increasing doses to chase the feeling.
But it does mean you can't just stop cold turkey without risk of harm. This is true of benzos, and also many antidepressants (which are very different from benzos) and other psychiatric meds. Often a long period of tapering is required, with "hyperbolic" dosing reduction (each reduction is a small percentage of the previous dosage). This is called a "hyperbolic taper."
As an example, for some benzos, you drop the dosage by 5-10% reduction (from the previous dose, not the original) every 2 to 4 weeks. So D = D0*(1-X)^n where D0 is original dose, X is fraction reduced per period, N is the period number. This should be done under medical supervision.
But it does mean you can't just stop cold turkey without risk of harm. This is true of benzos, and also many antidepressants (which are very different from benzos) and other psychiatric meds. Often a long period of tapering is required, with "hyperbolic" dosing reduction (each reduction is a small percentage of the previous dosage). This is called a "hyperbolic taper."
As an example, for some benzos, you drop the dosage by 5-10% reduction (from the previous dose, not the original) every 2 to 4 weeks. So D = D0*(1-X)^n where D0 is original dose, X is fraction reduced per period, N is the period number. This should be done under medical supervision.