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Engineering floquet dynamical quantum phase transitions

Naji, J ; Sharif University of Technology | 2022

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  1. Type of Document: Article
  2. DOI: 10.1103/PhysRevB.106.094314
  3. Publisher: American Physical Society , 2022
  4. Abstract:
  5. Floquet dynamical quantum phase transitions (FDQPTs) are signified by recurrent nonanalytic behaviors of observables in time. In this work, we introduce a quench-free and generic approach to engineer and control FDQPTs for both pure and mixed Floquet states. By applying time-periodic modulations with two driving frequencies to a general class of spin chain model, we find multiple FDQPTs within each driving period. The model is investigated with equal, commensurate and incommensurate driving frequencies. The nonanalytic cusps of return probability form sublattice structures in time domain. Notably, the number and time locations of these cusps can be flexibly controlled by tuning the Hamiltonian parameter and the frequencies of the drive. We further employ the dynamical topological order parameter, which shows a quantized jump whenever a DQPT happens, to identify the topological feature of FDQPTs. Our findings reveal the advantage of engineering nonequilibrium phase transitions with multifrequency driving fields. © 2022 American Physical Society
  6. Keywords:
  7. Phase transitions ; Topology ; Driving frequencies ; Driving periods ; Floquet ; Floquet state ; General class ; Generic approach ; Quantum-phase transition ; Return probabilities ; Spin chain models ; Time-periodic modulation ; Quantum theory
  8. Source: Physical Review B ; Volume 106, Issue 9 , 2022 ; 24699950 (ISSN)
  9. URL: https://journals-aps-org.access.semantak.com/prb/abstract/10.1103/PhysRevB.106.094314