Dynamics of Entropy Production Rate in Two Coupled Bosonic Modes Interacting with a Thermal Reservoir

The Markovian time evolution of the entropy production rate is studied as a measure of irreversibility generated in a bipartite quantum system consisting of two coupled bosonic modes immersed in a common thermal environment. The dynamics of the system is described in the framework of the formalism of the theory of open quantum systems based on completely positive quantum dynamical semigroups, for initial two-mode squeezed thermal states, squeezed vacuum states, thermal states and coherent states. We show that the rate of the entropy production of the initial state and nonequilibrium stationary state, and the time evolution of the rate of entropy production, strongly depend on the parameters of the initial Gaussian state (squeezing parameter and average thermal photon numbers), frequencies of modes, parameters characterising the thermal environment (temperature and dissipation coefficient), and the strength of coupling between the two modes. We also provide a comparison of the behaviour of entropy production rate and Rényi-2 mutual information present in the considered system.     

Exact Entanglement Dynamics in Three Interacting Qubits

Motivated by recent experimental studies on coherent dynamics transfer in three interacting atoms or electron spins [Phys. Rev. Lett 114(2015) 113002, Phys. Rev. Lett 120(2018) 243604], here we study entanglement entropy transfer in three interacting qubits. We analytically calculate time evolutions of wave function, density matrix and entanglement of the system. We find that initially entangled two qubits may alternatively transfer their entanglement entropy to other two qubit pairs. Thus dynamical evolution of three interacting qubits may produce a genuine three-partite entangled state through entanglement entropy transfers. In particular, different pairwise interactions of the three qubits endow symmetric and asymmetric evolutions of the entanglement transfer,characterized by the quantum mutual information and concurrence. Finally, we discuss an experimental proposal of three Rydberg atoms for testing the entanglement dynamics transfer of this kind.     

耦合到马尔科夫和非马尔科夫环境下两相互作用原子系统纠缠动力学特性的研究

通过计算线性熵研究了两相互作用量子比特在马尔科夫和非马尔科夫环境下的纠缠随时间的演化特性,讨论了偶极相互作用强度和原子与库中心频率失谐量对纠缠的影响.结果表明线性熵随着偶极相互作用强度以及原子与库中心频率失谐量的增大而减小,在马尔科夫环境下线性熵在短时间内趋于稳态值,而在非马尔科夫环境下线性熵随时间的演化呈现振荡行为.     

Two Interacting Electrons in a Vertically Coupled Quantum Dot

We study a two-electron system in a double-layer quantum dot under a magnetic field by means of the exact diagonalization of the Hamiltonian matrix.We find that discontinuous ground-state energy transitions are induced by an external magnetic field in the case of strong coupling.However,in the case of weak coupling,the angular momentum L of the true ground state does not change in accordance with the change of the magnetic field B and remains L=0.     

Entropy Dynamics in the System of Interacting Qubits

The classical second law of thermodynamics demands that an isolated system evolves with a nondiminishing entropy. This holds as well in quantum mechanics if the evolution of the energy-isolated system can be described by a unital quantum channel. At the same time, the entropy of a system evolving via a nonunital channel can, in principle, decrease. Here, we analyze the behavior of entropy in the context of the H-theorem. As exemplary phenomena, we discuss the action of a Maxwell demon (MD) operating a qubit and the processes of heating and cooling in a two-qubit system. Further we discuss how small initial correlations between a quantum system and a reservoir affect the entropy increase during the quantum-system evolution.     

Phase—Locking Dynamics in Coupled Circle—Map Lattices

The phase-locking dynamics in 1D and 2D lattices of non-identical coupled circle maps is explored.A global phase locking can be attained via a cascade of clustering processes with the increase of the coupling strength.Collective spatiotemporal dynamics is observed when a global phase locking is reached.Crisis-induced desynchronization is found,and its consequent spatiotemporal chaos is studied.     

Phase Dynamics in Nonlinear Coupled Oscillators

We discuss the phase dynamics in the system of a set of nonlinear coupled oscillators. We find a direct and simple geometric method to observe the geometric phase for this system, and it provides a possibility for the experimental measurements.     

Complex Dynamics of Optical Solitons Interacting with Nanoparticles

JETP Letters - The mutual interactions of the dissipative optical solitons with trapped nanoparticles are studied. It is shown that the attraction of the nanoparticles to the solitons can result in...     

Entanglement Generation for Two Coupled Multi-excitation Fields Interacting with Qubits

We study the entanglement dynamics for two coupled multi-excitation cavity fields, each independently interacting with a two-level atom. We find that even when the atom-field system is initially not entangled, the fields can become heavily entangled through postselecting of the atomic state. The field entanglement entropy is dependent on the total excitation number but independent of the coherent photon hopping strength.     

Bistability in Coupled Oscillators Exhibiting Synchronized Dynamics

We report some new results associated with the synchronization behavior of two coupled double-well Duffing oscillators （DDOs）. Some sufficient algebraic criteria for global chaos synchronization of the drive and response DDOs via linear state error feedback control are obtained by means of Lyapunov stability theory. The synchronization is achieved through a bistable state in which a periodic attractor co-exists with a chaotic attractor. Using the linear perturbation analysis, the prevalence of attractors in parameter space and the associated bifurcations are examined. Subcritical and supercritical Hopf bifurcations and abundance of Arnold tongues -- a signature of mode locking phenomenon are found.     

原子与耦合腔相互作用系统中量子态保真度演化

在每个耦合腔中囚禁一个二能级原子并考虑原子与腔场的共振,研究二能级原子与耦合腔的相互作用.数值计算了耦合腔系统中系统、原子和腔场的保真度演化,讨论了腔场间耦合系数变化对保真度演化的影响.结果表明:随着腔场间耦合系数的增大,系统和原子的保真度从不规则振荡逐渐转变为准周期性振荡;腔场的保真度周期性变化;随腔场间耦合系数的增大,原子保真度降低,腔场的保真度增大.     

Diffusive Fluctuations for One-Dimensional Totally Asymmetric Interacting Random Dynamics

We study central limit theorems for a totally asymmetric, one-dimensional interacting random system. The models we work with are the Aldous–Diaconis–Hammersley process and the related stick model. The A-D-H process represents a particle configuration on the line, or a 1-dimensional interface on the plane which moves in one fixed direction through random local jumps. The stick model is the process of local slopes of the A-D-H process, and has a conserved quantity. The results describe the fluctuations of these systems around the deterministic evolution to which the random system converges under hydrodynamic scaling. We look at diffusive fluctuations, by which we mean fluctuations on the scale of the classical central limit theorem. In the scaling limit these fluctuations obey deterministic equations with random initial conditions given by the initial fluctuations. Of particular interest is the effect of macroscopic shocks, which play a dominant role because dynamical noise is suppressed on the scale we are working. Received: 4 October 2001 / Accepted: 12 March 2002     

Dynamics of a Strongly Coupled Polaron

We study the dynamics of large polarons described by the Fröhlich Hamiltonian in the limit of strong coupling. The initial conditions are (perturbations of) product states of an electron wave function and a phonon coherent state, as suggested by Pekar. We show that, to leading order on the natural time scale of the problem, the phonon field is stationary and the electron moves according to an effective linear Schrödinger equation.     

耦合原子与腔场多光子相互作用过程中的量子信息传递

建立了"多耦合原子--腔"系统的多光子相互作用模型. 利用腔量子电动力学理论, 研究了原子与腔场相互作用过程中量子信息传递的特性, 分析了原子间耦合作用对量子信息传递的影响. 结果表明: 在一定的相互作用时间内, 量子信息可以在腔场与原子间可逆传递或保持, 原子间的偶极作用导致量子纠缠信息非完全传递和非完全保持.