Introducing the coherent state ansatz and the time-dependent variational principle,we obtain the two partial different equations of motion from Hamiltonian.Employing the method of multiple scales,we reduce these equat...Introducing the coherent state ansatz and the time-dependent variational principle,we obtain the two partial different equations of motion from Hamiltonian.Employing the method of multiple scales,we reduce these equations into the envelope function equation and find the amplitude function satisfied a nonlinear Schrödinger equation.We get the periodic wave solution and analyse its stability antiferromagnet KCuF_(3).展开更多
Employing the Holstein-Primakoff transformation and the coherent state ansatz,we obtain two partial differential equations of motion from Hamiltonian.Using the method of multiple scalar,we reduce these equations into ...Employing the Holstein-Primakoff transformation and the coherent state ansatz,we obtain two partial differential equations of motion from Hamiltonian.Using the method of multiple scalar,we reduce these equations into a nonlinear Schrodinger equation and get the single soliton solution.These results show that solitary magnon localization in antiferromagnet Ni( C_(2)H_(8)N_(2))_(2)NO_(2)C1O_(4) is possible.展开更多
We use a LaCoste-Romberg model D gravimeter to measure the gravitational forces at fixed positions when a large cylindrical reservoir is full and when it is empty.The differences determine the intermediate-range force...We use a LaCoste-Romberg model D gravimeter to measure the gravitational forces at fixed positions when a large cylindrical reservoir is full and when it is empty.The differences determine the intermediate-range force at various separations around 50m to about 0.5%accuracy.展开更多
We review our recent theoretical advances in quantum information and many body physics with cold atoms in various external potential, such as harmonic potential, kagome optical lattice, triangular optical lattice, and...We review our recent theoretical advances in quantum information and many body physics with cold atoms in various external potential, such as harmonic potential, kagome optical lattice, triangular optical lattice, and honeycomb lattice. The many body physics of cold atom in harmonic potential is investigated in the frame of mean-field Gross-Pitaevskii equation. Then the quantum phase transition and strongly correlated effect of cold atoms in triangular optical lattice, and the interacting Dirac fermions on honeycomb lattice, are investigated by using cluster dynamical mean-field theory and continuous time quantum Monte Carlo method. We also study the quantum spin Hall effect in the kagome optical lattice.展开更多
Higgs type excitations are the excitations which give mass to particles. The Higgs type excitations has a critical role both in particle physics and condensed matter physics. In particle physics, the suspected Higgs b...Higgs type excitations are the excitations which give mass to particles. The Higgs type excitations has a critical role both in particle physics and condensed matter physics. In particle physics, the suspected Higgs boson has been found by the Large Hadron Collider （LHC） in 2012. In condensed matter physics, the Higgs type excitations relate to order phase of the system. In this review, we present an overview of recent studies on the Higgs type excitations both in non-interacting and interacting cold atom systems. First, in non-interacting cold atom system, by synthesizing artificial non-Abelian gauge potential, we demonstrate that when a non- Abelian gauge potential is reduced to Abeliau potential, the Abelian part constructs spin-orbit coupling, and the non-Abelian part emerges Higgs excitations. Secondly, the Higgs excitations which are the reputed Higgs amplitude mode in interacting cold atom system are discussed. We review the theoretical model and the experimental detection of Higgs amplitude mode in two dimensional superfluid. The observation of both Higgs type excitations in real experiments are also discussed.展开更多
基金Supported by the National Natural Science Foundation of China.
文摘Introducing the coherent state ansatz and the time-dependent variational principle,we obtain the two partial different equations of motion from Hamiltonian.Employing the method of multiple scales,we reduce these equations into the envelope function equation and find the amplitude function satisfied a nonlinear Schrödinger equation.We get the periodic wave solution and analyse its stability antiferromagnet KCuF_(3).
文摘Employing the Holstein-Primakoff transformation and the coherent state ansatz,we obtain two partial differential equations of motion from Hamiltonian.Using the method of multiple scalar,we reduce these equations into a nonlinear Schrodinger equation and get the single soliton solution.These results show that solitary magnon localization in antiferromagnet Ni( C_(2)H_(8)N_(2))_(2)NO_(2)C1O_(4) is possible.
文摘We use a LaCoste-Romberg model D gravimeter to measure the gravitational forces at fixed positions when a large cylindrical reservoir is full and when it is empty.The differences determine the intermediate-range force at various separations around 50m to about 0.5%accuracy.
基金supported by the National Natural Science Foundation of China (10934010, 60978019 and 11104064)the National Basic Research Program of China (2009CB930701, 2010CB922904,2011CB921502 and 2012CB821300)+1 种基金the Research Grants Council of Hong Kong (11061160490 and 1386-N-HKU748/10)Zhang X F is also supported by the China Postdoctoral Science Foundation (2011M500032)
文摘We review our recent theoretical advances in quantum information and many body physics with cold atoms in various external potential, such as harmonic potential, kagome optical lattice, triangular optical lattice, and honeycomb lattice. The many body physics of cold atom in harmonic potential is investigated in the frame of mean-field Gross-Pitaevskii equation. Then the quantum phase transition and strongly correlated effect of cold atoms in triangular optical lattice, and the interacting Dirac fermions on honeycomb lattice, are investigated by using cluster dynamical mean-field theory and continuous time quantum Monte Carlo method. We also study the quantum spin Hall effect in the kagome optical lattice.
基金supported by the NKBRSFC(Grant Nos.2011CB921502 and2012CB821305)National Natural Science Foundation of China(Grant Nos.61227902 and 61378017)
文摘Higgs type excitations are the excitations which give mass to particles. The Higgs type excitations has a critical role both in particle physics and condensed matter physics. In particle physics, the suspected Higgs boson has been found by the Large Hadron Collider （LHC） in 2012. In condensed matter physics, the Higgs type excitations relate to order phase of the system. In this review, we present an overview of recent studies on the Higgs type excitations both in non-interacting and interacting cold atom systems. First, in non-interacting cold atom system, by synthesizing artificial non-Abelian gauge potential, we demonstrate that when a non- Abelian gauge potential is reduced to Abeliau potential, the Abelian part constructs spin-orbit coupling, and the non-Abelian part emerges Higgs excitations. Secondly, the Higgs excitations which are the reputed Higgs amplitude mode in interacting cold atom system are discussed. We review the theoretical model and the experimental detection of Higgs amplitude mode in two dimensional superfluid. The observation of both Higgs type excitations in real experiments are also discussed.
