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Periodically driven Rydberg chains with staggered detuning
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DOI：10.1103/PhysRevB.106.064305.png)
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Abstract
En 中文
We study the stroboscopic dynamics of a periodically driven finite Rydberg chain with staggered (lambda) and time-dependent uniform [lambda(t)] detuning terms using exact diagonalization. We show that at intermediate drive frequencies (omega D), the presence of a finite ? results in violation of the eigenstate thermalization hypothesis (ETH) via clustering of Floquet eigenstates. Such clustering is lost at special commensurate drive frequencies for which h over bar omega d = n? (n & ISIN; Z) leading to restoration of ergodicity. The violation of ETH in these driven finite-sized chains is also evident from the dynamical freezing displayed by the density-density correlation between Rydberg excitations at even sites of the chain for specific omega D. Such a correlator exhibits stable oscillations with perfect revivals when driven close to the freezing frequencies for initial all spin-down (|0?) or Neel (|Z2?, with up spins on even sites) states. In contrast, for the|Z over bar 2? (time-reversed partner of |Z2?) initial state, we find complete absence of such oscillations leading to freezing for a range of omega D; this range increases with ?. We also study the properties of quantum many-body scars in the Floquet spectrum of the model as a function of ? and show the existence of mid-spectrum scars at large ? which do not have overlap with either |0? or |Z2? states. We supplement our numerical results with those from an analytic Floquet Hamiltonian computed using Floquet perturbation theory which allows us to provide qualitative analytical explanations of the above-mentioned numerical results.
Keywords:
QUANTUM PHASE-TRANSITION
INSULATOR-TRANSITION
MOTT INSULATOR
THERMALIZATION
DYNAMICS
LOCALIZATION
SIMULATION
SUPERFLUID
BREAKING
SYSTEMS
Journal
IF:
3.7
Papers:
15.4W
Citations:
41.0W