The Floquet Engineer's Handbook

Rudner, Mark S.; Lindner, Netanel H.

doi:10.48550/arxiv.2003.08252

Cited by 33 publications

(54 citation statements)

References 55 publications

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“…The single-particle Floquet band structure of the system we study [Eqs. ( 1) and ( 2)], together with the amplitudes of the sideband harmonics, are conveniently visualized through the time-averaged spectral function [54][55][56][57]:…”

Section: Problem Setupmentioning

confidence: 99%

Prethermalization and entanglement dynamics in interacting topological pumps

Gawatz,

Balram,

Berg

et al. 2021

Preprint

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We investigate the formation of quasisteady states in one-dimensional pumps of interacting fermions at non-integer filling fraction, in the regime where the driving frequency and interaction strength are small compared to the instantaneous single-particle band gap throughout the driving cycle. The system rapidly absorbs energy from the driving field, and approaches a quasisteady state that locally resembles a maximal entropy state subject to the constraint of fixed particle number in each of the system's single-particle Floquet bands. We explore the nature of this quasisteady state through one-body observables including the pumped current and natural orbital occupations, as well as the (many-body) entanglement spectrum and entropy. Potential disorder significantly reduces the amplitude of fluctuations of the quasisteady state current around its universal value, while the lifetime of the quasisteady state remains nearly unaffected for disorder strengths up to the scale of the single-particle band gap. Interestingly, the natural orbital occupations and entanglement entropy display patterns signifying the periodic entangling and disentangling of the system's degrees of freedom over each driving cycle. Moreover, prominent features in the system's timedependent entanglement spectrum reveal the emergence of new long timescales associated with the equilibration of many-particle correlations.

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Section: Problem Setupmentioning

confidence: 99%

Prethermalization and entanglement dynamics in interacting topological pumps

Gawatz,

Balram,

Berg

et al. 2021

Preprint

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“…Here we switch to the Floquet formalism [38]. In the Heisenberg picture, we make the following Floquet-Bogoliubov ansatz for new Floquet quasi-particle operators,…”

Section: Appendix B: Floquet Fermi Golden Rulementioning

confidence: 99%

Stability of Floquet Majorana box qubits

Matthies,

Park,

Berg

et al. 2021

Preprint

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In one-dimensional topological superconductors driven periodically with the frequency ω, two types of topological edge modes may appear, the well-known Majorana zero mode and a Floquet Majorana mode located at the quasi-energy ω/2. We investigate two Josephson-coupled topological quantum wires in the presence of Coulomb interactions, forming a so-called Majorana box qubit. An oscillating gate voltage can induce Floquet Majorana modes in both wires. This allows encoding 3 qubits in a sector with fixed electron parity. If such a system is prepared by increasing the amplitude of oscillations adiabatically, it is inherently unstable as interactions resonantly create quasi particles. This can be avoided by using instead a protocol where the oscillation frequency is increased slowly. In this case, one can find a parameter regime where the system remains stable.

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“…Then the above time-dependent problem is formally mapped to a timeindependent problem of diagonalizing an associated Hermitian operator defined on an enlarged space (compared to the original, physical Hilbert space) [58]. The solutions take the form…”

Section: Floquet Graphene Antidot Latticesmentioning

confidence: 99%

“…In this paper we will give only a qualitative description of them, leaving a more quantitative study for the future. At this level of analysis, we envision that the operation timescale of any such Floquet device should be much slower than the drive period, so that the initial state does not change appreciably within a period and a description in terms of the Floquet stroboscopic dynamics will suffice [58]. In addition, and this point is specific to our setup, we do not know exactly what to expect for the mobility of the charge carriers at the dynamically induced Dirac point.…”

Section: Applicationsmentioning

confidence: 99%

Floquet Graphene Antidot Lattices

Cupo,

Cobanera,

Whitfield

et al. 2021

Preprint

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We establish the theoretical foundation of the Floquet graphene antidot lattice, whereby massless Dirac fermions are driven periodically by a circularly polarized electromagnetic field, while having their motion excluded from an array of nanoholes. The properties of interest are encoded in the quasienergy spectra, which are computed non-perturbatively within the Floquet formalism. We find that a rich Floquet phase diagram emerges as the amplitude of the drive field is varied. Notably, the Dirac dispersion can be restored in real time relative to the gapped equilibrium state, which may enable the creation of an optoelectronic switch or a dynamically tunable electronic waveguide. As the amplitude is increased, the ability to shift the quasienergy gap between high-symmetry points can change which crystal momenta dominate in the scattering processes relevant to electronic transport and optical emission. Furthermore, the bands can be flattened near the Γ point, which is indicative of selective dynamical localization. Lastly, quadratic and linear dispersions emerge in orthogonal directions at the M point, signaling a Floquet semi-Dirac material. Importantly, all our predictions are valid for experimentally accessible near-IR radiation, which corresponds to the high-frequency limit for the graphene antidot lattice. Cycling between engineered Floquet electronic phases may play a key role in the development of next-generation on-chip devices for optoelectronic applications.

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The Floquet Engineer's Handbook

Cited by 33 publications

References 55 publications

Prethermalization and entanglement dynamics in interacting topological pumps

Prethermalization and entanglement dynamics in interacting topological pumps

Stability of Floquet Majorana box qubits

Floquet Graphene Antidot Lattices

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