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Integrable Floquet dynamics

by Vladimir Gritsev, Anatoli Polkovnikov

Submission summary

As Contributors: Vladimir Gritsev · Anatoli Polkovnikov
Arxiv Link: (pdf)
Date accepted: 2017-05-23
Date submitted: 2017-05-19 02:00
Submitted by: Gritsev, Vladimir
Submitted to: SciPost Physics
Academic field: Physics
  • Condensed Matter Physics - Theory
  • Quantum Physics
Approach: Theoretical


We discuss several classes of integrable Floquet systems, i.e. systems which do not exhibit chaotic behavior even under a time dependent perturbation. The first class is associated with finite-dimensional Lie groups and infinite-dimensional generalization thereof. The second class is related to the row transfer matrices of the 2D statistical mechanics models. The third class of models, called here "boost models", is constructed as a periodic interchange of two Hamiltonians - one is the integrable lattice model Hamiltonian, while the second is the boost operator. The latter for known cases coincides with the entanglement Hamiltonian and is closely related to the corner transfer matrix of the corresponding 2D statistical models. We present several explicit examples. As an interesting application of the boost models we discuss a possibility of generating periodically oscillating states with the period different from that of the driving field. In particular, one can realize an oscillating state by performing a static quench to a boost operator. We term this state a "Quantum Boost Clock". All analyzed setups can be readily realized experimentally, for example in cod atoms.

Ontology / Topics

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Boost models Corner transfer matrices Entanglement Hamiltonians Integrability/integrable models Lie algebras and groups Periodically-driven (Floquet) systems

Published as SciPost Phys. 2, 021 (2017)

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