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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：From Quantum Particles to Compressible Inviscid Fluid
量子粒子 可压缩 无粘性流体
2023/4/18
We derive the classical compressible Euler equation as the limit of 3D quantum N-particle dynamics as N tends to infinity and Planck's constant tends to zero. We establish strong and quantitative conv...
Theorists smooth the way to modeling quantum friction
Theorists smooth the way quantum friction
2016/5/19
Theoretical chemists at Princeton University have pioneered a strategy for modeling quantum friction, or how a particle’s environment drags on it, a vexing problem in quantum mechanics since the birth...
Towards Quantifying Complexity with Quantum Mechanics
Towards Quantifying Complexity Quantum Mechanics
2016/1/22
While we have intuitive notions of structure and complexity, the formalization of this intuition is non-trivial. The statistical complexity is a popular candidate. It is based on the idea that the com...
We examine energy transport in an ensemble of closed quantum systems driven by stochastic perturbations. One can show that the probability and energy fluxes can be described in terms of quantum advect...
We study the properties of mixed states obtained from eigenstates of many-body lattice Hamiltonians after tracing out part of the lattice. Two scenarios emerge for generic systems: (i) the diagonal en...
The purpose of this work is to serve as an introduction to quantum chaos. We avoid the usual path of dealing with ensembles of random matrices and instead consider clean one-dimensional systems of spi...
Lattice quantum electrodynamics for graphene
Graphene Lattice Gauge Theory honeycomb lattice Kekule mass generation Ward Identities Renormalization Group Critical exponents
2011/10/9
Abstract: The effects of gauge interactions in graphene have been analyzed up to now in terms of effective models of Dirac fermions. However, in several cases lattice effects play an important role an...
Diagrammatic Approach to Classical Transport in Disordered Continuous Media: Investigating the High-Temperature Regime of Quantum Hall Transitions
Diagrammatic Classical Transport Disordered Continuous Media High-Temperature Regime of Quantum
2011/8/17
Abstract: We develop a general diagrammatic formalism based on a local conductivity approach to compute electronic transport in continuous media with long range disorder, in the absence of quantum int...
Random Geometry, Quantum Gravity and the Kahler Potential
Random Geometry Quantum Gravity the Kahler Potential Statistical Mechanics
2011/10/9
Abstract: We propose a new method to define theories of random geometries, using an explicit and simple map between metrics and large hermitian matrices. We outline some of the many possible applicati...
Quantum spin chains of Temperley-Lieb type: periodic boundary conditions, spectral multiplicities and finite temperature
quantum spin chains Temperley-Lieb finite temperature
2010/4/6
We determine the spectra of a class of quantum spin chains of Temperley-Lieb type by utilizing the concept of Temperley-Lieb equivalence with the S=1/2 XXZ chain as a reference system. We consider ope...
An intuitive study of fractional derivative modeling and fractional quantum in soft matter
fractional calculus soft matter fractional quantum power law
2010/10/22
Soft matter (e.g., biomaterials, polymers, sediments, oil, emulsions) has become an important bridge between physics and diverse disciplines. Its fundamental physical mechanism, however, is largely ob...