Quantum Complexity in Graphene

A. R. P. Moreira, Abdelmalek Bouzenada, Faizuddin Ahmed

This paper explores the influence of complex magnetic fields on the quantum information properties of graphene, using Shannon and Fisher information measures. Due to its distinctive electronic characteristics, graphene is an ideal platform for investigating how quantum information can be modulated by varying magnetic field configurations. Through theoretical analysis and computational simulations, we study the effects of these complex fields on the electronic states and information entropy of graphene. Shannon information is employed to measure the uncertainty or entropy associated with the electronic states, while Fisher information evaluates their sensitivity to magnetic field variations. Our results show that complex magnetic fields can significantly reshape the quantum information dynamics of graphene, highlighting potential applications in quantum computing and information processing.

Zhirong Lin, Guo‐Ping Guo, Tao Tu +2 more

Danying Yu, Guangzhen Li, Meng Xiao +4 more

We propose simulating multiple graphene dynamics in a synthetic honeycomb lattice including the frequency dimension of light, with parameters flexibly controlled by external modulations, which shows the capability for complex functionalities and future quantum simulations.

Hadi Mohammed Soufy, Colin Benjamin

We introduce a three-stroke quantum isochoric cycle that functions as a heat engine operating between two thermal reservoirs. Implemented for a particle confined in a one-dimensional infinite potential well, the cycle's performance is benchmarked against the classical three-stroke triangular and isochoric engines. We find that the quantum isochoric cycle achieves a higher efficiency than both classical counterparts and also surpasses the efficiency of the recently proposed three-stroke quantum isoenergetic cycle. Owing to its reduced number of strokes, the design substantially lowers control complexity in nanoscale thermodynamic devices, offering a more feasible route to experimental realization compared to conventional four-stroke architectures. We further evaluate the cycle in graphene-based systems under an external magnetic field, including monolayer graphene (MLG), AB-stacked bilayer graphene (BLG), and twisted bilayer graphene (TBG) at both magic and non-magic twist angles. Among these platforms, magic-angle twisted bilayer graphene (MATBG) attains the highest efficiency at fixed work output, highlighting its promise for quantum thermodynamic applications.

Zhan-Ning Hu, Kee-Su Park, Kyung-Soo Yi