Graphene with time-dependent spin-orbit coupling: truncated Magnus expansion approach

López, Alexander; Scholz, Andreas; Zhen, Sun; Schliemann, John

doi:10.1140/epjb/e2013-40488-1

Cited by 7 publications

(7 citation statements)

References 32 publications

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“…withH(t) periodic in time, the Fourier decompositioñ H(t) = p e ipωtH p allows us to write a power series expansion in 1 ω for the time-independent Hamiltonian, referred to as the Magnus expansion [47,48] …”

Section: B Magnus Expansion For Effective Hamiltoniansmentioning

confidence: 99%

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Floquet engineering of long-rangep-wave superconductivity

et al. 2014

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Floquet Majorana Fermions appear as steady states at the boundary of time-periodic topological phases of matter. In this work, we theoretically study the main features of these exotic topological phases in the periodically driven one-dimensional Kitaev model. By controlling the ac fields, we can predict new topological phase transitions that should give rise to signatures of Majorana states in experiments. Moreover, the knowledge of the time-dependence of these Majorana states allows one to manipulate them. Our work contains a complete analysis of the monochromatic driving in different frequency regimes.

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Section: B Magnus Expansion For Effective Hamiltoniansmentioning

confidence: 99%

“…[47,48]. At this point, the choice of the frame of reference is relevant, since the Hamiltonian in different framesH(t) has different convergence conditions.…”

Section: B Magnus Expansion For Effective Hamiltoniansmentioning

confidence: 99%

Floquet engineering of long-rangep-wave superconductivity

et al. 2014

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“…With the exception of some simple systems, it is impossible to find a closed form for the Floquet Hamiltonian and the stroboscopic kick operator. Nevertheless one may resort to high frequency expansions (HFEs) [4,5,[31][32][33][34][35][36][37] such as the well known Floquet-Magnus expansion [35][36][37]. The HFE is defined as a power series in 1/ω L , where ω L is the frequency of the driving.…”

mentioning

confidence: 99%

Driven Open Quantum Systems and Floquet Stroboscopic Dynamics

et al. 2016

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We provide an analytic solution to the problem of system-bath dynamics under the effect of high-frequency driving that has applications in a large class of settings, such as driven-dissipative many-body systems. Our method relies on discrete symmetries of the system-bath Hamiltonian and provides the time evolution operator of the full system, including bath degrees of freedom, without weak-coupling or Markovian assumptions. An interpretation of the solution in terms of the stroboscopic evolution of a family of observables under the influence of an effective static Hamiltonian is proposed, which constitutes a flexible simulation procedure of nontrivial Hamiltonians. We instantiate the result with the study of the spin-boson model with time-dependent tunneling amplitude. We analyze the class of Hamiltonians that may be stroboscopically accessed for this example and illustrate the dynamics of system and bath degrees of freedom.

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“…We also note that considering another semianalytical approximation, such as the Magnus expansion [31], could provide some explicit formulas for both the quasienergy spectrum and Floquet eigenstates. Yet, this approach has the drawback that truncating the series leads to a violation of the stroboscopic relation which should be a general property of solutions to the dynamics of the periodically driven systems [32]. From an experimental point of view, we consider that the angular momentum exchange between the radiation field and the pseudospin degree of freedom could be detected by measuring the changes in the polarization state of the reflected radiation from the silicene sample by means of the magneto-optic Kerr effect as it has already been used for detecting real-spin effects in semiconducting structures [33].…”

Section: Discussionmentioning

confidence: 99%

Photoinduced pseudospin effects in silicene beyond the off-resonant condition

et al. 2015

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We study the photoinduced manipulation of charge carriers in monolayer silicene subject to intense electromagnetic terahertz radiation. Considering the Dirac cone approximation and going beyond the off-resonant condition for large frequencies of the radiation field, where only virtual photon processes are allowed, we present the exact zero-momentum pseudospin polarization and numerical results for the quasienergy band structure and time-averaged density of states. We find that resonant processes, due to real photon emission and absorbtion processes, induce a band inversion that qualitatively modifies the quasienergy spectrum. These band-structure changes manifest themselves as an inversion of the averaged pseudospin polarization. Through the analysis of the time-averaged density of states we find that effective photoinduced gap manipulation can only be achieved in the intermediate and strong matter-radiation coupling regime where the off-resonant approximation breaks down.

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Graphene with time-dependent spin-orbit coupling: truncated Magnus expansion approach

Cited by 7 publications

References 32 publications

Floquet engineering of long-rangep-wave superconductivity

Floquet engineering of long-rangep-wave superconductivity

Driven Open Quantum Systems and Floquet Stroboscopic Dynamics

Photoinduced pseudospin effects in silicene beyond the off-resonant condition

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