DYNAMICS OF ENTANGLEMENT FOR TWO-ELECTRON ATOMS

2008 ◽  
Vol 06 (02) ◽  
pp. 303-316 ◽  
Author(s):  
OMAR OSENDA ◽  
PABLO SERRA ◽  
SABRE KAIS
Keyword(s):  
Time Evolution ◽  
Coulombic Interaction ◽  
Numerical Evidence ◽  
Initial States

We studied the dynamics of the entanglement for two electron atoms with initial states created from a superposition of the eigenstates of the two-electron Hamiltonian. We present numerical evidence that the pairwise entanglement for the two electrons evolves in a way that is strongly related with the time evolution of the Coulombic interaction between the two electrons.

scholarly journals Effects of initial coherence on distinguishability of pure/mixed states and chiral stability in an open chiral system

2014 ◽  
Vol 92 (2) ◽  
pp. 112-118 ◽  
Author(s):  
Heekyung Han ◽  
David M. Wardlaw ◽  
Alexei M. Frolov
Keyword(s):  
Analytical Solution ◽  
Time Evolution ◽  
Mixed States ◽  
Position Measurement ◽  
Decay Interaction ◽  
Initial States ◽  
Chiral Systems ◽  
Chiral System ◽  
Dephasing Rate ◽  
Pure Versus

We examine how initial coherences in open chiral systems affect distinguishability of pure versus mixed states and purity decay. Interaction between a system and an environment is modeled by a continuous position measurement and a two-level approximation is taken for the system. The resultant analytical solution is explored for various parameters, with emphasis on the interplay of initial coherences of the system and dephasing rate in determining the purity decay and differences in the time evolution of pure versus mixed initial states. Implications of the results for several fundamental problems are noted.

scholarly journals Transport exponents of states with large support

2019 ◽  
Vol 31 (09) ◽  
pp. 1950029
Author(s):  
Vitalii Gerbuz
Keyword(s):  
Time Evolution ◽  
Quantum States ◽  
Single Site ◽  
Finite Support ◽  
Polymer Model ◽  
One Dimensional ◽  
Random Polymer ◽  
Initial States ◽  
Spreading Rates

We investigate spreading rates of one-dimensional quantum states under the Schrödinger time-evolution. The focus of this paper is on the states that either have finite support or decay exponentially at [Formula: see text]. In particular, we extend results of Damanik and Tcheremchantsev on estimating transport exponents that were originally proved to hold for the initial states supported on a single site. These general upper and lower estimates are then applied to several classes of models, including Sturmian, quasi-periodic and substitution-generated potentials, and the random polymer model.

scholarly journals Pattern Formation in a Bacterial Colony Model

2014 ◽  
Vol 2014 ◽  
pp. 1-10
Author(s):  
Xinze Lian ◽  
Guichen Lu ◽  
Hailing Wang
Keyword(s):  
Stability Analysis ◽  
Pattern Formation ◽  
Time Evolution ◽  
Real World ◽  
Spatiotemporal Dynamics ◽  
Bacterial Colony ◽  
Numerical Evidence ◽  
Diffusion Controlled ◽  
Model Dynamics ◽  
The Stability

We investigate the spatiotemporal dynamics of a bacterial colony model. Based on the stability analysis, we derive the conditions for Hopf and Turing bifurcations. Furthermore, we present novel numerical evidence of time evolution of patterns controlled by parameters in the model and find that the model dynamics exhibit a diffusion controlled formation growth to spots, holes and stripes pattern replication, which show that the bacterial colony model is useful in revealing the spatial predation dynamics in the real world.

Dynamics of quantum correlations for three-qubit states in a noisy environment

2019 ◽  
Vol 33 (14) ◽  
pp. 1950145 ◽  
Author(s):  
Tian-Wen Liu ◽  
Zhi-Yuan He ◽  
Xi-Wen Hou
Keyword(s):  
Time Evolution ◽  
Quantum Correlations ◽  
Noisy Environment ◽  
Initial State ◽  
Amplitude Damping ◽  
Initial States ◽  
Qubit States

Girolami and coworkers have proposed measures of quantum correlations and weaving [Girolami et al., Phys. Rev. Lett. 119, 140505 (2017)]. This work derives the analytic time-evolution of such measures and weaving for two kinds of initial states in three qubits under an amplitude-damping and a dephasing noisy environment. It is shown that the 2-partite correlation is forever frozen, which is dependent on an initial state and the property of noise.

scholarly journals Entangled states of dipolar bosons generated in a triple-well potential

2020 ◽  
Vol 2 (1) ◽  
Author(s):  
Arlei P. Tonel ◽  
Leandro H. Ymai ◽  
Karin Wittmann ◽  
Angela Foerster ◽  
Jon Links
Keyword(s):  
Time Evolution ◽  
Long Range ◽  
Entangled States ◽  
Effective Hamiltonian ◽  
Long Range Interactions ◽  
Coupling Parameters ◽  
Initial States

We study the generation of entangled states using a device constructed from dipolar bosons confined to a triple-well potential. Dipolar bosons possess controllable, long-range interactions. This property permits specific choices to be made for the coupling parameters, such that the system is integrable. Integrability assists in the analysis of the system via an effective Hamiltonian constructed through a conserved operator. Through computations of fidelity we establish that this approach, to study the time-evolution of the entanglement for a class of non-entangled initial states, yields accurate approximations given by analytic formulae.

Sign in / Sign up

Export Citation Format

Share Document