Mukherjee, Bhaskar;
Sen, Arnab;
Sengupta, K;
(2022)
Periodically driven Rydberg chains with staggered detuning.
Physical Review B
, 106
(6)
, Article 064305. 10.1103/PhysRevB.106.064305.
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Abstract
We study the stroboscopic dynamics of a periodically driven finite Rydberg chain with staggered ( Δ ) and time-dependent uniform [ λ ( t ) ] detuning terms using exact diagonalization. We show that at intermediate drive frequencies ( ω D ), the presence of a finite Δ 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 ℏ ω d = n Δ ( n ∈ 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 ω 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 ( | Z 2 ⟩ , with up spins on even sites) states. In contrast, for the ∣ ∣ ¯¯¯ Z 2 ⟩ (time-reversed partner of | Z 2 ⟩ ) initial state, we find complete absence of such oscillations leading to freezing for a range of ω D ; this range increases with Δ . We also study the properties of quantum many-body scars in the Floquet spectrum of the model as a function of Δ and show the existence of mid-spectrum scars at large Δ which do not have overlap with either | 0 ⟩ or | Z 2 ⟩ 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.
| Type: | Article |
|---|---|
| Title: | Periodically driven Rydberg chains with staggered detuning |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1103/PhysRevB.106.064305 |
| Publisher version: | https://doi.org/10.1103/PhysRevB.106.064305 |
| Language: | English |
| Additional information: | This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Physics and Astronomy |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10174069 |
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