3,361 research outputs found
Spin bath dynamics and dynamical Renormalization Group
Abstract We discuss the quantum dynamics of the central spin model in a
regime where the central spin and bath are slaved to each other. The exact
solution is found when the bath is static, and is compared with the effect of
an external field, finding that they are inequivalent due to the quantum nature
of the environment. When the bath has dynamics, we analyze the differences
between the numerical simulation using time-dependent perturbation theory and
the equation of motion technique, which shows better accuracy. We demonstrate
that the use of dynamical Renormalization Group (dRG), simultaneously with the
equation of motion technique, provides a suitable analytical tool to understand
the physics, to capture the main physical processes, and a powerful method to
eliminate secular terms. In addition, this approach allows to separate
classical non-linear behavior from corrections due to quantum correlations.Comment: Main text and Appendi
Merging of Dirac points and Floquet topological transitions in AC driven graphene
We investigate the effect of an in-plane AC electric field coupled to
electrons in the honeycomb lattice and show that it can be used to manipulate
the Dirac points of the electronic structure. We find that the position of the
Dirac points can be controlled by the amplitude and the polarization of the
field for high frequency drivings, providing a new platform to achieve their
merging, a topological transition which has not been observed yet in electronic
systems. Importantly, for lower frequencies we find that the multi-photon
absorptions and emissions processes yield the creation of additional pairs of
Dirac points. This provides an additional method to achieve the merging
transition by just tuning the frequency of the driving. Our approach, based on
Floquet formalism, is neither restricted to specific choice of amplitude or
polarization of the field, nor to a low energy approximation for the
Hamiltonian.Comment: 5 pages + supplementary material
¿Es posible graficar soluciones de ecuaciones diferenciales sin necesidad de derivar o integrar?
Para solucionar ecuaciones diferenciales es fundamental el uso de las integrales o de las derivadas, pero si queremos comprobar una de sus soluciones, en este documento se encontrará una manera alternativa de hacerlo teniendo en cuenta algunos aspectos como: qué es la pendiente de una recta y cómo se grafica, conocer algunas funciones y sus gráficas, tener una noción de derivada como la pendiente de una recta tangente a una curva, sabiendo esto es posible dar una solución aproximada a una ecuación diferencial haciendo un bosquejo de la función que al derivarse resultará la ecuación diferencial propuesta
Engineering Quantum Anomalous Hall Plateaus and Anti-Chiral States with AC Fields
We investigate the AC electric field induced quantum anomalous Hall effect in
honeycomb lattices and derive the full phase diagram for arbitrary field
amplitude and phase polarization. We show how to induce anti-chiral edge modes
as well as topological phases characterized by a Chern number larger than
by means of suitable drivings. In particular, we find that the Chern number
develops plateaus as a function of the frequency, providing an time-dependent
analogue to the ones in the quantum Hall effect.Comment: 4 pages and supplementary materia
- …