Dynamical freezing and switching in periodically driven bilayer graphene

Sasidharan, Soumya; Surendran, Naveen

doi:10.1103/physrevb.107.174301

Cited by 2 publications

(2 citation statements)

References 56 publications

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“…The absence of freezing with zero bias also occurs in the case of bilayer graphene, where the driving parameter is a chemical potential [43]. In that case, the lack of freezing is shown to be related to a ground state degeneracy in a frame rotating with the driving.…”

Section: Numerical Analysismentioning

confidence: 82%

“…The dynamics of the 1D transverse-field Ising model, which has been extensively studied in the context of dynamical freezing, can be reduced to a two-level problem for each momentum value. However, dynamical freezing goes beyond two-level systems and has been demonstrated to occur in a bilayer graphene system, which features four energy bands [43]. The three-dimensional Kitaev model, whose dynamics we investigate in this paper, is also a four-band system.…”

Section: Introductionmentioning

confidence: 93%

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Periodically driven three-dimensional Kitaev model

Sasidharan,

Surendran

2024

Phys. Scr.

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We study the dynamics of a three-dimensional generalization of Kitaev's honeycomb lattice spin model (defined on the hyperhoneycomb lattice) subjected to a harmonic driving of $J_z$, one of the three types of spin-couplings in the Hamiltonian. Using numerical solutions supported by analytical calculations based on a rotating wave approximation, we find that the system responds nonmonotonically to variations in the frequency $\omega$ (while keeping the driving amplitude $J$ fixed), and undergoes dynamical freezing, where at specific values of $\omega$, it gets almost completely locked in the initial state throughout the evolution. However, this freezing occurs only when a constant bias is present in the driving, i.e., when $J_z = J'+ J\cos \omega t$, with $J'\neq 0$. Consequently, the bias acts as a switch that triggers the freezing phenomenon. Dynamical freezing has been previously observed in other integrable systems, such as the one-dimensional transverse-field Ising model.

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Section: Numerical Analysismentioning

confidence: 82%

Section: Introductionmentioning

confidence: 93%

Periodically driven three-dimensional Kitaev model

Sasidharan,

Surendran

2024

Phys. Scr.

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Stretched-exponential melting of a dynamically frozen state under imprinted phase noise in the ising chain in a transverse field

Roychowdhury,

Das

2024

Eur. Phys. J. B

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The concept of dynamical freezing is a phenomenon where a suitable set of local observables freezes under a strong periodic drive in a quantum many-body system. This happens because of the emergence of approximate but perpetual conservation laws when the drive is strong enough. In this work, we probe the resilience of dynamical freezing to random perturbations added to the relative phases between the interfering states (elements of a natural basis) in the time-evolving wave function after each drive cycle. We study this in an integrable Ising chain in a time-periodic transverse field. Our key finding is, that the imprinted phase noise melts the dynamically frozen state, but the decay is “slow”: a stretched-exponential decay rather than an exponential one. Stretched-exponential decays (also known as Kohlrausch relaxation) are usually expected in complex systems with time-scale hierarchies due to strong disorders or other inhomogeneities resulting in jamming, glassiness, or localization. Here we observe this in a simple translationally invariant system dynamically frozen under a periodic drive. Moreover, the melting here does not obliterate the entire memory of the initial state but leaves behind a steady remnant that depends on the initial conditions. This underscores the stability of dynamically frozen states. Graphical abstract

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Dynamical freezing and switching in periodically driven bilayer graphene

Cited by 2 publications

References 56 publications

Periodically driven three-dimensional Kitaev model

Periodically driven three-dimensional Kitaev model

Stretched-exponential melting of a dynamically frozen state under imprinted phase noise in the ising chain in a transverse field

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