activity
20152026
most citedOn the spectrum of the normalized Laplacian of iterated triangulations of graphs

81 citations · 207 across the 11 of their papers we have counts for

collaborators

11 papers

quant-ph2026

Scalable simulation of non-Markovian quantum transport by stochastic-phase bath reduction

Zhen Huang, Lin Lin, Pinchen Xie

Accurate simulations of non-Markovian quantum transport remain limited to small systems, and a key bottleneck is that each system site requires an independent set of quantum bath o…

physics.comp-ph2024★ 3 cited

Deuteration removes quantum dipolar defects from KDP crystals

Bingjia Yang, Pinchen Xie, Roberto Car

The structural, dielectric, and thermodynamic properties of the hydrogen-bonded ferroelectric crystal potassium dihydrogen phosphate (), KDP for short, differ si…

physics.comp-ph2022★ 20 cited

Ab Initio Generalized Langevin Equation

Pinchen Xie, Roberto Car, Weinan E

We introduce a machine learning-based approach called ab initio generalized Langevin equation (AIGLE) to model the dynamics of slow collective variables in materials and molecules.…

cond-mat.mtrl-sci2022★ 2 cited

Ab Initio bulk free energy surface of proper ferroelectrics

Pinchen Xie, Yixiao Chen, Xinyu Xu +3

We report a systematic and accurate approach for deriving the bulk free energy surface (FES), a function of temperature, polarization, and strain, from the first-principles density…

quant-ph2020★ 4 cited

Coarse-grained spectral projection (CGSP): a deep learning-assisted approach to quantum unitary dynamics

Pinchen Xie, Weinan E

We propose the coarse-grained spectral projection method (CGSP), a deep learning-assisted approach for tackling quantum unitary dynamic problems with an emphasis on quench dynamics…

quant-ph2020★ 31 cited

End-to-End Quantum Machine Learning Implemented with Controlled Quantum Dynamics

Re-Bing Wu, Xi Cao, Pinchen Xie +1

Toward quantum machine learning deployed on imperfect near-term intermediate-scale quantum (NISQ) processors, the entire physical implementation of should include as less as possib…

cond-mat.stat-mech2017★ 4 cited

Exact evaluation of the causal spectrum and localization properties of electronic states on a scale-free network

Pinchen Xie, Bingjia Yang, Zhongzhi Zhang +1

A nearest-neighbor tight-binding model on a tree structure is investigated. The full energy spectrum of the normalized Hamiltonian can be expressed in terms of successively increas…

cond-mat.quant-gas2017★ 3 cited

Effects of heterogeneity in site-site couplings for tight-binding models on scale-invariant structures

Bingjia Yang, Pinchen Xie, Zhongzhi Zhang

We studied the thermodynamic behaviors of non-interacting bosons and fermions trapped by a scale-invariant branching structure of adjustable degree of heterogeneity. The full energ…

cond-mat.quant-gas2016★ 5 cited

Exactly solvable tight-binding models on two scale-free networks with identical degree distribution

Pinchen Xie, Zhongzhi Zhang, Bo Wu

We study ideal Bose gas upon two scale-free structures with identical degree distribution. Energy spectra belonging to tight-binding Hamiltonian are exactly solved and the related…

math.CO2015★ 54 cited

The normalized Laplacian spectrum of subdivisions of a graph

Pinchen Xie, Zhongzhi Zhang, Francesc Comellas

Determining and analyzing the spectra of graphs is an important and exciting research topic in theoretical computer science. The eigenvalues of the normalized Laplacian of a graph…

math.SP2015★ 81 cited

On the spectrum of the normalized Laplacian of iterated triangulations of graphs

Pinchen Xie, Zhongzhi Zhang, Francesc Comellas

The eigenvalues of the normalized Laplacian of a graph provide information on its topological and structural characteristics and also on some relevant dynamical aspects, specifical…