Driven Critical Dynamics in the Tricitical Point

The conventional Kibble-Zurek mechanism, describing driven dynamics across critical points based on the adiabatic-impulse scenario (AIS), has attracted broad attention. However, the driven dynamics at the tricritical point with two independent relevant directions have not been adequately studied. Here, we employ the time-dependent variational principle to study the driven critical dynamics at a one-dimensional supersymmetric Ising tricritical point. For the relevant direction along the Ising critical line, the AIS apparently breaks down. Nevertheless, we find that the critical dynamics can still be described by finite-time scaling in which the driving rate has a dimension of r_\mu=z+1/\nu_\mu with z and \nu_\mu being the dynamic exponent and correlation length exponent in this direction, respectively. For driven dynamics along another direction, the driving rate has a dimension of r_p=z+1/\nu_p with \nu_p being another correlation length exponent. Our work brings a new fundamental perspective into nonequilibrium critical dynamics near the tricritical point, which could be realized in programmable quantum processors in Rydberg atomic systems.