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.

A NEW FEATURE ON THE SUDDEN DEATH OF ENTANGLEMENT

2008 ◽  
Vol 22 (25) ◽  
pp. 2503-2508 ◽  
Author(s):  
XUE-QUN YAN
Keyword(s):  
Sudden Death ◽  
Time Evolution ◽  
Analytic Solution ◽  
Time Interval ◽  
Entanglement Sudden Death ◽  
Mixed States ◽  
Initial States ◽  
New Feature

Based on the exactly analytic solution obtained of the intensity-dependent Jaynes–Cummings model for a certain class of initial entangled mixed states, we explore the time evolution of the entanglement between two atoms, initially non-locally correlated and separately interacting with two distinct cavities. The results show that entanglement sudden death is dependent on the different initial states of atoms, and the length of the time interval for the zero entanglement is invariant for a certain class of initial mixed states.

scholarly journals QUANTUM INSTABILITY FOR MIXED STATES

2002 ◽  
Vol 17 (31) ◽  
pp. 2039-2048 ◽  
Author(s):  
MAREK NOWAKOWSKI
Keyword(s):  
Time Evolution ◽  
Neutral Kaon ◽  
Single Step ◽  
Lagrangian Formalism ◽  
Mixed States ◽  
Linear Superposition ◽  
Instability Analysis ◽  
Mass Eigenstates ◽  
Alternative Method ◽  
Unstable States

The analysis of the time evolution of unstable states which are linear superposition of other, observable, states can, in principle, be carried out in two distinct, non-equivalent ways. One of the methods, usually employed for the neutral kaon system, combines the mixing and instability into one single step which then results in unconventional properties of the mass-eigenstates. An alternative method is to remain within the framework of a Lagrangian formalism and to perform the mixing prior to the instability analysis. Staying close to the [Formula: see text] system, we compare both methods pointing out some of their shortcomings and advantages.

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.

Time evolution of the PSD in crystallization operations: An analytical solution based on Ornstein-Uhlenbeck process

AIChE Journal ◽  
2012 ◽  
Vol 58 (12) ◽  
pp. 3731-3739 ◽  
Author(s):  
Giuseppe Cogoni ◽  
Massimiliano Grosso ◽  
Roberto Baratti ◽  
Jose A. Romagnoli
Keyword(s):  
Analytical Solution ◽  
Time Evolution ◽  
Uhlenbeck Process ◽  
Ornstein Uhlenbeck Process

scholarly journals Exact Solution for the Time-Dependent Temperature Field in Dry Grinding: Application to Segmental Wheels

2011 ◽  
Vol 2011 ◽  
pp. 1-28 ◽  
Author(s):  
J. L. González-Santander ◽  
J. M. Valdés Placeres ◽  
J. M. Isidro
Keyword(s):  
Integral Equation ◽  
Exact Solution ◽  
Temperature Field ◽  
Analytical Solution ◽  
Time Evolution ◽  
Time Dependent ◽  
Temperature Fields ◽  
Grinding Wheel ◽  
Workpiece Surface ◽  
Dry Grinding

We present a closed analytical solution for the time evolution of the temperature field in dry grinding for any time-dependent friction profile between the grinding wheel and the workpiece. We base our solution in the framework of the Samara-Valencia model Skuratov et al., 2007, solving the integral equation posed for the case of dry grinding. We apply our solution to segmental wheels that produce an intermittent friction over the workpiece surface. For the same grinding parameters, we plot the temperature fields of up- and downgrinding, showing that they are quite different from each other.

scholarly journals Smoluchowski equations for linker-mediated irreversible aggregation

Soft Matter ◽  
2020 ◽  
Vol 16 (32) ◽  
pp. 7513-7523
Author(s):  
J. M. Tavares ◽  
G. C. Antunes ◽  
C. S. Dias ◽  
M. M. Telo da Gama ◽  
N. A. M. Araújo
Keyword(s):  
Analytical Solution ◽  
Time Evolution ◽  
Computer Simulations ◽  
Smoluchowski Equation ◽  
Experimental Results ◽  
Smoluchowski Equations ◽  
Irreversible Aggregation

An analytical solution of a generalized Smoluchowski equation for linker-mediated aggregation, validated by computer simulations, describes experimental results for the time evolution of clustering.

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