Dynamical quantum phase transitions in the Kitaev honeycomb model

@article{Schmitt2015DynamicalQP,
  title={Dynamical quantum phase transitions in the Kitaev honeycomb model},
  author={Markus Schmitt and Stefan K. Kehrein},
  journal={Physical Review B},
  year={2015},
  volume={92},
  pages={075114}
}
The notion of a dynamical quantum phase transition (DQPT) was recently introduced [Heyl et al., Phys. Rev. Lett. 110, 135704 (2013)] as the nonanalytic behavior of the Loschmidt echo at critical times in the thermodynamic limit. In this work the quench dynamics in the ground state sector of the two-dimensional Kitaev honeycomb model is studied regarding the occurrence of DQPTs. For general two-dimensional systems of BCS type it is demonstrated how the zeros of the Loschmidt echo coalesce to… 

Figures and Tables from this paper

Ineffectiveness of the Dzyaloshinskii–Moriya interaction in the dynamical quantum phase transition in the ITF model

TLDR
The study of the rate function of the return probability has proven that the DMI does not affect the DQPT, and it is concluded that the ramping across the quantum critical point is not a necessary and sufficient condition for D QPT.

Dynamical quantum phase transitions in Weyl semimetals

The quench dynamics in type-I inversion symmetric Weyl semimetals (WSM) are explored in this work which, due to the form of the Hamiltonian, may be readily extended to two-dimensional Chern

Geometrical quench and dynamical quantum phase transition in the α−T3 lattice

We investigate quantum quenches and the Loschmidt echo in the two dimensional, three band $\alpha-T_3$ model, a close descendant of the dice lattice. By adding a chemical potential to the central

Many-body dynamical phase transition in a quasiperiodic potential

Much has been learned regarding dynamical quantum phase transition (DQPT) due to sudden quenches across quantum critical points in traditional quantum systems. However, not much has been explored

Interaction-driven dynamical quantum phase transitions in a strongly correlated bosonic system

We study dynamical quantum phase transitions (DQPTs) in the extended Bose-Hubbard model after a sudden quench of the nearest-neighbor interaction strength. Using the time-dependent density matrix

Determination of Dynamical Quantum Phase Transitions in Strongly Correlated Many-Body Systems Using Loschmidt Cumulants

Dynamical phase transitions extend the notion of criticality to non-stationary settings and are characterized by sudden changes in the macroscopic properties of time-evolving quantum systems.

Floquet dynamical quantum phase transition in the extended XY model: Nonadiabatic to adiabatic topological transition

We investigate both pure and mixed states Floquet dynamical quantum phase transition (DQPT) in the periodically time-dependent extended XY model. We exactly show that the proposed Floquet Hamiltonian

Exploring the possibilities of dynamical quantum phase transitions in the presence of a Markovian bath

TLDR
The interferometric phase approach unravels the possibility of occurrence of DQPTs which persists even up to a considerable loss of purity of the engineered initial state as long as a constraint relation involving the dissipative coupling and ramping time (rate) is satisfied.

Controlling dynamical quantum phase transitions

We study the dynamics arising from a double quantum quench where the parameters of a given Hamiltonian are abruptly changed from being in an equilibrium phase A to a different phase B and back

Dynamical Quantum Phase Transition and Quasi Particle Excitation

TLDR
It is shown analytically that the connection between the DPTs and the EPTs does not hold generally, and also no DPT by crossing the equilibrium critical point.
...

References

SHOWING 1-10 OF 19 REFERENCES

Lectures on Theoretical Physics

Vorlesungen über theoretische PhysikVon Prof. Arnold Sommerfeld. Band 1: Mechanik. Vierte, neubearbeitete Auflage. Pp. xii + 276. 18 D. marks. Band 2: Mechanik der deformierbaren Medien. Pp. xv + 376

Phys

  • Rev. Lett. 113, 265702
  • 2014

Phys

  • Rev. Lett. 110, 135704
  • 2013

Phys

  • Rev. B 91, 155127
  • 2015

Phys

  • Rev. B 89, 161105
  • 2014

Phys

  • Rev. B 78, 045101
  • 2008

Phys

  • Rev. B 87, 195104
  • 2013

Phys

  • Rev. 87, 404
  • 1952

Phys

  • Rev. B 76, 193101
  • 2007

Phys

  • Rev. B 90, 125106
  • 2014