Route to Extend the Lifetime of a Discrete Time Crystal in a Finite Spin Chain without Disorder

Periodically driven (Floquet) systems are described by time-dependent Hamiltonians that possess discrete time translation symmetry. The spontaneous breaking of this symmetry leads to the emergence a novel non-equilibrium phase matter—the Discrete Time Crystal (DTC). In paper, we propose scheme extend lifetime DTC in paradigmatic model—a translation-invariant Ising spin chain with nearest-neighbor interaction J, subjected periodic kick transverse magnetic field frequency 2πT. This system exhibits hallmark signature DTC—persistent sub-harmonic oscillations πT—for wide parameter regime. Employing both analytical arguments as well exact diagonalization calculations, demonstrate is maximized, when strength tuned an optimal value, JT=π. Our proposal essentially relies on interaction-induced quantum interference mechanism suppresses creation excitations, and thereby enhances lifetime. Intriguingly, find period doubling can last eternally even size systems. anomalously long be attributed reflection emerges at work provides promising avenue for realizing robust various emulator platforms.