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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Peak distributions and peak maps in lattice paths
晶格路径 峰分布 峰图
2023/4/13
Dyck paths are classical Catalan objects. The peak distribution of Dyck paths is an important topic of combinatorics, and further the representation of symmetric groups.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Random Surface, Planar Lattice Model, and Conformal Field Theory
随机曲面 平面晶格模型 共形场论
2023/4/13
Liouville quantum gravity (LQG) is a theory of random surfaces that originated from string theory. Schramm Loewner evolution (SLE) is a family of random planar curves describing scaling limits of many...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Rational solutions of KP and BKP hierarchies through Toda lattice
户田晶格 KP BKP 层次结构 合理解
2023/4/27
The full Kostant-Toda lattice defined on simple Lie algebras can be viewed as finite version of KP type hierarchies. In this talk I will show you how to explicitly construct (all) rational solutions o...
Probe of Three-Dimensional Chiral Topological Insulators in an Optical Lattice
Three-Dimensional Chiral Topological Insulators Optical Lattice
2016/1/22
We propose a feasible experimental scheme to realize a three-dimensional chiral topological insulator with cold fermionic atoms in an optical lattice, which is characterized by an integer topological ...
I discuss the progress in the use of analytic techniques for low energy QCD, in particular as applied to kaon physics. These methods are becoming increasingly powerful and we have gained a good deal o...
Revealing the superfluid–Mott-insulator transition in an optical lattice
Numerical solution of single particle the density matrix ultracold atomic optical lattice parabola mott insulator
2014/12/22
We study (by an exact numerical scheme) the single-particle density matrix of ～103 ultracold atoms in an optical lattice with a parabolic confining potential. Our simulation is directly relevant to th...
Commensurate Two-Component Bosons in an Optical Lattice: Ground State Phase Diagram
Bosons optical lattice superfluid quantum systems and quantum
2014/12/20
Two sorts of bosons in an optical lattice at commensurate filling factors can form five stable superfluid and insulating ground states with rich and nontrivial phase diagram. The structure of the grou...
Supersolid Phase of Hard-Core Bosons on a Triangular Lattice
Ultra stereo core bosons triangular lattice ising spin magnetic field
2014/12/20
We study properties of the supersolid phase observed for hard-core bosons on the triangular lattice near half-integer filling factor, and the phase diagram of the system at finite temperature. We find...
On-site number statistics of ultracold lattice bosons
Fluctuations in optical lattice boson system monte carlo simulation and natural gas
2014/12/20
We study on-site occupation number fluctuations in a system of interacting bosons in an optical lattice. The ground-state distribution is obtained analytically in the limiting cases of strong and weak...
Expansion of a Quantum Gas Released from an Optical Lattice
Ultracold atoms optical lattice quantum gas the diffraction optics
2014/12/19
We analyze the interference pattern produced by ultracold atoms released from an optical lattice, commonly interpreted as the momentum distributions of the trapped quantum gas. We show that for finite...
Sign-alternating interaction mediated by strongly correlated lattice bosons
Mechanism sign - alternating boson intersite grid core the model of the ground state phase diagram
2014/12/19
We reveal a generic mechanism of generating sign-alternating intersite interactions mediated by strongly correlated lattice bosons. The ground-state phase diagram of the two-component hard-core Bose–H...
Collective dynamics of interacting Ising spins: Exact results for the Bethe lattice
Low temperature dynamic molecules magnet crystal electron spin ground state electronic since the gyration mechanics coupling nuclear
2014/12/19
We study the low temperature dynamics in films made of molecular magnets, i. e. crystals composed of molecules having large electronic spin S in their ground state. The electronic spin dynamics is med...
Topological multicritical point in the phase diagram of the toric code model and three-dimensional lattice gauge Higgs model
Magnetic field the three dimensional Z2 higgs model fiction spatial direction monte carlo simulation model
2014/12/19
We construct a mapping between the two-dimensional toric code model in external magnetic fields, hz and hx, and the three-dimensional classical Ising system with plaquette interactions, which is equiv...
Phase transitions in a three dimensional U(1)×U(1) lattice London superconductor: Metallic superfluid and charge-4e superconducting states
Three dimensional lattice superconductor condensation coupling pulse measurement the current current coupling
2014/12/18
We consider a three dimensional lattice U(1)×U(1) and [U(1)]N superconductors in the London limit with individually conserved condensates. The U(1)×U(1) problem, generically, has two types of intercom...
Critical entropies for magnetic ordering in bosonic mixtures on a lattice
Simulation worm algorithm 3 d optical lattice temperature system antiferromagnetic particles
2014/12/18
We perform a numeric study (Worm algorithm Monte Carlo simulations) of ultracold two-component bosons in two- and three-dimensional optical lattices. At strong enough interactions and low enough tempe...