19 citations · 47 across the 12 of their papers we have counts for
12 papers
Symmetric operads of GK-dimension one
Yu Li, Zihao Qi, Yongjun Xu +3
We prove that there is no finitely generated symmetric operad of Gelfand-Kirillov dimension strictly between 1 and 2 that answers an open question posted in 2020. We also classify…
Dissipative Yao-Lee Spin-Orbital Model: Exact Solvability and Symmetry Breaking
Zihao Qi, Yuan Xue
Exactly solvable dissipative models provide an analytical tool for studying the relaxation dynamics in open quantum systems. In this work, we study an exactly solvable model based…
Formal deformations, cohomology theory and -structures for differential Lie algebras of arbitrary weight
Weiguo Lyu, Zihao Qi, Jian Yang +1
Generalising a previous work of Jiang and Sheng, a cohomology theory for differential Lie algebras of arbitrary weight is introduced. The underlying -structure on the…
Surprises in the Deep Hilbert Space of all-to-all systems: From super-exponential scrambling to slow entanglement growth
Zihao Qi, Thomas Scaffidi, Xiangyu Cao
The quantum dynamics of spin systems with uniform all-to-all interaction are often studied in the totally symmetric space (TSS) of maximal total spin. However the TSS states are at…
Gröbner-Shirshov bases and linear bases for free multi-operated algebras over algebras with applications to differential Rota-Baxter algebras and integro-differential algebras
Zuan Liu, Zihao Qi, Yufei Qin +1
Quite much recent studies has been attracted to the operated algebra since it unifies various notions such as the differential algebra and the Rota-Baxter algebra. An -operated…
Operads with trivial -actions
Yu Li, Zihao Qi, Yongjun Xu +3
We study operads with trivial -actions and prove an equivalence between the category of -trivial operads and that of pseudo-graded-Perm associative algebras…
Gröbner-Shirshov bases and linear bases for free differential type algebras over algebras
Zihao Qi, Yufei Qin, Guodong Zhou
We study a question which can be roughly stated as follows: Given a (unital or nonunital) algebra together with a Gröbner-Shirshov basis , consider the free operated algebra…
Universal nonadiabatic energy pumping in a quasiperiodically driven extended system
Zihao Qi, Gil Refael, Yang Peng
The paradigm of Floquet engineering of topological states of matter can be generalized into the time-quasiperiodic scenario, where a lower dimensional time-dependent system maps in…
Poisson cohomology of plane Poisson structures with isolated singularities revisited
Zihao Qi, Guodong Zhou
Continuing a work of Ph.~Monnier, we determine the Gerstenhaber algebra structure over the Poisson cohomology groups for a large class of Poisson structures with isolated singulari…
Free objects and Gröbner-Shirshov bases in operated contexts
Zihao Qi, Yufei Qin, Kai Wang +1
This paper investigates algebraic objects equipped with an operator, such as operated monoids, operated algebras etc. Various free object functors in these operated contexts are ex…
Robust Flat Bands with Tunable Energies in Honeycomb Superlattices
Zihao Qi, Eric Bobrow, Yi Li
Flat bands in lattice models have provided useful platforms for studying strong correlation and topological physics. Recently, honeycomb superlattices have been shown to host flat…
Growth of nonsymmetric operads
Zihao Qi, Yongjun Xu, James J. Zhang +1
The paper concerns the Gelfand-Kirillov dimension and the generating series of nonsymmetric operads. An analogue of Bergman's gap theorem is proved, namely, no finitely generated l…