Rabi-resonant behavior of periodically driven correlated fermion systems

Abstract

Fermi-Hubbard system with a periodically-modulated interaction has been recently shown to resonantly absorb energy at series of drive frequencies. In the present work, with the help of static perturbation theory, we argue that driving couples to Hubbard bands in a similar fashion as a classical field couples to a two-level atom. The latter, significantly simpler set-up, described by the Rabi model, is known to support resonant rapid energy absorption at virtually the same series of driving frequencies. Our interpretation is also supported by the equivalency between dynamics of the two-site periodically-driven Hubbard and Rabi models. Relying on this insight, we establish that the same Rabi-resonant behavior is displayed also by fermions confined in a harmonic trap with periodically-driven contact interactions. arXiv:1904.05714v2 [cond-mat.str-el]

Quantum vibrational resonance in a dual-frequency-driven Tietz-Hua quantum well

“…Periodic driving can induce a plethora of dynamical phenomenon that yield helpful insights into a wide range of processes on both the macroscopic and microscopic scales. They can give rise to more complex dynamics [3], to the suppression of synchronization when acting as coupling function [4] or to enhanced synchronization in the case of noise driving [5], to dissociation dynamics [6], and to nonlinear resonances [3,7,8], to mention but a few examples.…”

Floquet prethermalization and Rabi oscillations in optically excited Hubbard clusters

“…( 9 ) can be derived for other types of time-dependent perturbation. An extensively studied example is the driven-interaction protocol 41 , 58 , …”

“…For a weak interaction , the matrix element is not peaked nor the excited states are degenerate, and we do not expect Rabi oscillations. However, in the limit of , the excited states are nearly degenerate, and the lower and upper Hubbard bands form an effective two-level system leading to Rabi oscillations 58 .…”

“…Such a spectral decomposition can be approximately calculated by the Lanczos method. The other quantity is effective dimension 39 or inverse participation ratio 58 , which quantifies how many of the energy eigenstates are occupied. For example, in the ground state, the spectral density is peaked at zero energy and , whereas if the system oscillates between two levels we have and two peaks in the spectral density.…”

Spontaneous decay processes in a classical strong low-frequency laser field

“…An alternative approach is to control the coupling between atom and environment, which typically involves atomic coherence and quantum interference effects [16][17][18][19]. For example, slow or fast transition-frequency modulations [20][21][22] were shown to allow for substantial suppression of the SE of an excited two-level emitter inside a leaking cavity [23][24][25], and such control schemes can be extended to dc fields [26]. The possible effects of external modulations or perturbations on the SE into potentially structured environments can also be classified on a more general level [27,28].…”