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International Journal of Modern Physics B

Steady-state light amplification in a three-level ladder-type graphene ensemble under Landau quantization

Jianming Meng, Longjian Guo, Yanjuan Tian

Published May 23, 2025• 0 citations
Publisher

Abstract

In this study, we explore the interplay of laser beams with a graphene sample in a ladder configuration under various conditions of coherent and incoherent fields. We investigate how these interactions influence absorption and amplification, focusing on the effects of control field detuning, incoherent pumping, and varying decay rates. We first analyze the system’s response under resonance conditions, revealing symmetric gain profiles with distinct gain dips. As incoherent pumping is introduced, we observe a reduction in gain, highlighting the role of population transfer in modulating amplification. Furthermore, we examine the impact of control field detuning, which disrupts the symmetry of the gain profile and shifts the gain dip to nonzero detuning values. Additionally, by varying the decay rates of the intermediate state, we find that higher decay rates lead to asymmetric gain profiles and reduced amplification. Importantly, the gain observed in these graphene systems is inversionless. Our results provide insights into the tunability of graphene’s optical properties, demonstrating its potential for advanced optoelectronic applications that demand exact manipulation of light and material interactions.

DOI
10.1142/s021797922550184x

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In this study, we explore the interplay of laser beams with a graphene sample in a ladder configuration under various conditions of coherent and incoherent fields. We investigate how these interactions influence absorption and amplification, focusing on the effects of control field detuning, incoherent pumping, and varying decay rates. We first analyze the system’s response under resonance conditions, revealing symmetric gain profiles with distinct gain dips. As incoherent pumping is introduced, we observe a reduction in gain, highlighting the role of population transfer in modulating amplification. Furthermore, we examine the impact of control field detuning, which disrupts the symmetry of the gain profile and shifts the gain dip to nonzero detuning values. Additionally, by varying the decay rates of the intermediate state, we find that higher decay rates lead to asymmetric gain profiles and reduced amplification. Importantly, the gain observed in these graphene systems is inversionless. Our results provide insights into the tunability of graphene’s optical properties, demonstrating its potential for advanced optoelectronic applications that demand exact manipulation of light and material interactions.
We suggest a simple approach to achieve light amplification without population inversion in Landau-quantized graphene. We provide a detailed analysis of the interaction between the applied coherent and incoherent fields and a three-level cascade-type magnetized graphene. The optical response of the system is obtained by numerically solving the density matrix equation in the transient regime. Then, the analytical expressions for the steady-state populations in Landau levels and the coherence term related to the optical gain are derived using the perturbation theory. The results demonstrate that the proposed system can deliver optical gain without population inversion, making it applicable in graphene-based optical amplifiers and lasers operating at THz frequencies.
Landau-quantized graphene (LQG) offers a magnetically controlled platform for manipulating coherent inter-Landau-level transitions of Dirac fermions. Such a platform provides compact control of terahertz and infrared photonic signals. Here, a closed-form susceptibility expression is derived using the density-matrix approach, where the real part of the susceptibility describes dispersion and the imaginary part describes absorption or gain. The numerical results show that tuning the control field modifies the probe response from a dispersive resonance regime to a transparency window and a gain-assisted response. The calculated group-index variation, approximately from 0.6 to 1.7, enables broad modulation of the probe group velocity, ranging from about 1.8 × 10 8 m/s to 5.2 × 10 8 m/s . The reduced-absorption region indicates an electromagnetically induced transparency response suitable for controlled probe-field transmission. Distinct spectral features are also observed in the absorption coefficient and electron energy-loss spectrum (ELS), indicating selective energy transfer near the LQG resonance and potential relevance for THz/IR modulation. In addition, the frequency-selective and sign-reversible photon-drag response suggests detuning-controlled optical momentum transfer. These tunable responses within the linear regime support LQG as a reconfigurable medium for quantum optical transport, synchronization, pulse routing, buffering, and chip-scale THz photonic interfaces.
This article presents an exclusive study of the linear and higher-order susceptibilities, as well as the reduction in group index of a weak probe pulse in a three-level Landau-quantized graphene (LQG) system, under the influence of a strong control field, utilizing the phenomenon of electromagnetically induced transparency. The influence of the magnetic field on the higher-order nonlinearities (Kerr, quintic, and septic) leads to observable changes in amplitudes and shifts in probe frequencies. The LQG system exhibits giant values for these nonlinear susceptibilities with χ(3), χ(5), χ(7) reaching magnitudes approximately ∼10−18m3/V2, ∼10−30m5/V4, and ∼10−42m7/V6, respectively, in the mid-infrared range. The magnetic field also induces asymmetric absorption peaks and modifies dispersion profiles. The study also demonstrates a reduction in the group velocity of the probe, under the effect of the magnetic field, by 1000-fold compared to the speed of light in free space. These giant higher-order nonlinearities, coupled with significantly reduced group velocity, suggest that the LQG system is a quick responder, revealing it as an excellent candidate for terahertz modulation. This also highlights the potential of the system as a promising material for generating and detecting coherent nonlinear signals in the mid-infrared range.
In this paper, we investigate the propagation of optical vortices carrying orbital angular momentum in a coherently prepared graphene quantum dot (GQD) system. Using the Maxwell–Bloch equations and assuming weak light–matter interaction, we examine two key scenarios. The first scenario involves the transfer of optical vortices through nonlinear parametric process, starting with one vortex beam absent and then generated during its interaction with the GQD system. We analyze how various system parameters affect vortex conversion efficiency and the matching of optical vortices. Our results reveal that vortex conversion efficiency is significantly influenced by detuning and incoherent pumping, with notable efficiency and steady-state intensity achieved when these parameters are properly manipulated. In the second scenario, where both vortex beams are initially present, we explore their propagation within the GQD medium. In particular, we observe that when both beams are resonant and incoherent pumping is applied, they quickly stabilize and perfectly match over short propagation distances. Conversely, when both beams are nonresonant, they exhibit oscillatory decay in intensity, preventing them from achieving a steady-state match and leading to absorption by the GQD medium. This study enhances our understanding of vortex beam dynamics in GQD systems and provides insights into optimizing vortex beam transfer for high-dimensional quantum information processing applications.
We explore the dynamics of nonlinear parametric generation and light beam propagation in a Landau-quantized graphene structure with three energy levels interacting with two laser pulses, utilizing the Maxwell-Bloch equations. By applying a laser field to one transition of the graphene sample while keeping the second beam initially absent, the distinctive preparation of the graphene sample, coupled with its weak interaction with laser radiation, results in the parametric generation of a new laser beam in a different transition. We investigate the influence of diverse system parameters on both the efficiency of the generated beam and the propagation dynamics of both beams. Our findings reveal that manipulating these parameters can induce oscillations in the intensity of propagated beams, mitigate absorption losses during propagation allowing for earlier relaxation, and enhance the efficiency of energy transfer from the initial to the generated beam. Additionally, we demonstrate the transfer of optical vortices within the graphene ensemble by introducing an optical vortex to the initial beam. This scheme holds promise for applications in high-dimensional quantum information processing.
Graphene nanomaterials exhibit excellent optical properties when interacting with electromagnetical fields, which plays an important role in a wide range of applications such as optical communications, optical storage and other fields. Based on the electromagnetically induced transparency (EIT) effect, we investigate control of slow light in the Landau quantized graphene system with different three-level and four-level coupling schemes. Utilizing the EIT effect, group velocity of the probe fields can be significantly reduced and well controlled by manipulating Rabi frequencies and detunings of the coupling lasers as well as probe detuning. Furthermore, probe light with different frequencies can even be controlled in different EIT windows in the graphene system with the four-level scheme, which may find applications in signal selection and discrimination. This work can provide reference for the design of graphene-based quantum devices and have potential applications in optical communications and optical quantum information processing, etc.