Ground State Properties of a Local Sine-Gordon Model with Two Scatters

We investigate the local sine-Gordon model with two scatters by a variational method. The renormalization mass is calculated. It is found that there is an Ising-like phase transition, which is analogous in the global sineGordon model with two frequencies. The renormalization mass can be modulated by the distance between the two scatters.     

The Critical Properties of a Modulated Quantum sine—Gordon Model

A new procedure of trial variational wave functional is proposed for invostigating the mass reuormalizationand the local structure of the ground state of a one-dimensional quantum sine-Gorrdonm model with linear spatial modu-lation, whose ground state differs from that without modulation. Thc phase diagram obtained in parameters (αA 2,β2)plane shows that the vertical part of the boundary between soliton lattice phase and iucommensurate (IC) phase withvanishing gap sticks at β2 = 4, the IC phase can only appear forβ2 ＞ 47r and thc IC phase regime is enlarged withincreasing spatial modulation in the case of definite parameter αA-2. The transition is of the continuous type on thevertical part of the boundary, while it is of the first order on the boundary forβ2 ＞ 47r.     

Solitary Waves of a Perturbed sine—Gordon Equation

Based on the bifurcation and the idea that the solitary waves and shock waves of partial differential equations correspond respectively to the homoclinic and heteroclinic trajectories of nonlinear ordinary differential equations satisfied by the travelling waves,different conditions for the existence of solitary waves of a perturbed sine-Gordon equation are obtained.All of the corresponding approximate solitary wave solutions are given by integrating the derived approximate equations directly.     

Transition of the True Ground State in a Coupled Three—Layer Quantum Dot

Low-lying states of a vertically coupled three-layer quantum-dot system are studied.Each layer contains one electron,and the tunnelling of electrons between layers is neglected.Effects of the interlayer separation d and the external magnetic field B are evaluated by numerical calculations.In the strong coupling case (i.e.d is small),as in a single dot,transitions of the angular momentum L of the true ground states occur when B increases, whereas in the weak coupling case the transition does not occur and L remains zero.Furthermore,it is found that the variation of d may also induce the L transition.As a result,a phase diagram of L of the true ground state is given in the d-B plane.     

Dynamic behaviour of a single—Cooper—pair box in a single—mode quantized field with dissipation

We study the quantum dynamics of a single-Cooper-pair box biased by a classical voltage and also irradiated by a single-mode quantized field.We demonstrate that under the weak damping,the collapse-revival phenomena can exist in this system.We also demonstrate that the revivals of oscillations are sensitive to the initial coherent field and the damping rate of the single-mode quantized field.     

Exact Analytical Solutions to the Two—Mode Mean—Field Model Describing Dynamics of a Split Bose—Einstein Condensate

We present the analytical solutions to the two-mode mean-field model for a split Bose-Einstein condensate.These explicit solutions completely determine the system‘s dynamics under the two-mode mean-field approximation for all possible initial conditions.     

Self—Trapping State and Atomic Tunnelling Current of an Atomic Bose—Einstein Condensate Interacting with a Laser Field in a Double—Well Potential

We present a theoretical treatment of dynamics of an atomic Bose-Einstein condensation interacting with a single-mode quantized travelling-wave laser field in a double-well potential.When the atom-field system is initially in a coherent state,expressions for the energy exchange between atoms and photons are derived.It is revealed that atoms in the two wells can be in a self-trapping state when the tunnelling frequency satisfies two specific conditions,in which the resonant and far off-resonant cases are included.It is found that there is an alternating current with two different sinusoidal oscillations between the two wells,but no dc characteristic of the atomic tunnelling current occurs.It should be emphasized that when without the laser field,both the population difference and the atomic tunnelling current are only a single oscillation.But they will respectively become a superposition of two oscillations with different oscillatory frequencies in the presence of the laser field.For the two oscillations of the population difference,one always has an increment in the oscillatory frequency,the other can have an increment or a decrease under different cases.These conclusions are also suitable to those of the atomic tunnelling current.As a possible application,by measurement of the atomic tunnelling current between the two wells,the number of Bose-condensed atoms can be evaluated.By poperly selecting the laser field,the expected atomic tunnelling current can be obtained too.     

Study of Events with Two Leptons in the Final State to Investigate Properties of the Standard Model Higgs Boson and Search for a Heavy Higgs Boson in the h/H → WW(*) → ��ν��ν Decay in pp Collisions at 13 TeV with the ATLAS Detector at the LHC

Physics of Atomic Nuclei - The authors, members of the ATLAS Higgs boson working group (HWW), studied events with two leptons in the...