scholarly journals Time-dependent approach to many-particle tunneling in one dimension

2012 ◽  
Vol 86 (4) ◽  
Author(s):  
Takahito Maruyama ◽  
Tomohiro Oishi ◽  
Kouichi Hagino ◽  
Hiroyuki Sagawa
Keyword(s):  
Time Dependent ◽  
One Dimension

scholarly journals Dynamics of entanglement entropy of interacting fermions in a 1D driven harmonic trap

2018 ◽  
Vol 175 ◽  
pp. 03002
Author(s):  
Joshua R. McKenney ◽  
William J. Porter ◽  
Joaquín E. Drut
Keyword(s):  
Thermal Behavior ◽  
Parametric Resonance ◽  
Cold Atoms ◽  
Particle System ◽  
Entanglement Entropy ◽  
Harmonic Trap ◽  
Time Dependent ◽  
One Dimension ◽  
Recent Analysis ◽  
Contact Interactions

Following up on a recent analysis of two cold atoms in a time-dependent harmonic trap in one dimension, we explore the entanglement entropy of two and three fermions in the same situation when driven through a parametric resonance. We find that the presence of such a resonance in the two-particle system leaves a clear imprint on the entanglement entropy. We show how the signal is modified by attractive and repulsive contact interactions, and how it remains present for the three-particle system. Additionaly, we extend the work of recent experiments to demonstrate how restricting observation to a limited subsystem gives rise to locally thermal behavior.

Time-Dependent States in One Dimension

2008 ◽  
pp. 1-29
Author(s):  
Charles E. Burkhardt ◽  
Jacob J. Leventhal
Keyword(s):  
Time Dependent ◽  
One Dimension

scholarly journals Two cold atoms in a time-dependent harmonic trap in one dimension

2016 ◽  
Vol 528 (9-10) ◽  
pp. 693-704 ◽  
Author(s):  
Martin Ebert ◽  
Artem Volosniev ◽  
Hans-Werner Hammer
Keyword(s):  
Cold Atoms ◽  
Harmonic Trap ◽  
Time Dependent ◽  
One Dimension

scholarly journals On a Conjecture regarding Fisher Information

2015 ◽  
Vol 2015 ◽  
pp. 1-4 ◽  
Author(s):  
Angelo Plastino ◽  
Guido Bellomo ◽  
Angel Ricardo Plastino
Keyword(s):  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Probability Distributions ◽  
Free Particle ◽  
Quantum Probability ◽  
Time Dependent ◽  
Theoretical Physics ◽  
One Dimension ◽  
Pure States ◽  
Time Dependent Solution

Fisher’s information measureIplays a very important role in diverse areas of theoretical physics. The associated measuresIxandIp, as functionals of quantum probability distributions defined in, respectively, coordinate and momentum spaces, are the protagonists of our present considerations. The productIxIphas been conjectured to exhibit a nontrivial lower bound in Hall (2000). More explicitly, this conjecture says that for any pure state of a particle in one dimensionIxIp≥4. We show here that such is not the case. This is illustrated, in particular, for pure states that are solutions to the free-particle Schrödinger equation. In fact, we construct a family of counterexamples to the conjecture, corresponding to time-dependent solutions of the free-particle Schrödinger equation. We also conjecture that any normalizable time-dependent solution of this equation verifiesIxIp→0fort→∞.

Domain growth with time-dependent front velocity in one dimension

1991 ◽  
Vol 43 (16) ◽  
pp. 13262-13268 ◽  
Author(s):  
T. Ohta ◽  
Y. Enomoto ◽  
R. Kato
Keyword(s):  
Front Velocity ◽  
Time Dependent ◽  
Domain Growth ◽  
One Dimension

Analytical Solution of One Dimension Time Dependent Advection- Diffusion Equation

2016 ◽  
Vol 4 (2) ◽  
pp. 67-73
Author(s):  
A. A. Marrouf ◽  
Maha S. El-Otaify ◽  
Adel S. Mohamed ◽  
Galal Ismail ◽  
Khaled S. M. Essa
Keyword(s):  
Analytical Solution ◽  
Diffusion Equation ◽  
Time Dependent ◽  
One Dimension ◽  
Advection Diffusion Equation ◽  
Advection Diffusion
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