scholarly journals Analyzing Quantum Time‐Dependent Singular Potential Systems in One Dimension

10.5772/64007 ◽  
2016 ◽  
Author(s):  
Salah Menouar ◽  
Jeong Ryeol Choi
Keyword(s):  
Singular Potential ◽  
Time Dependent ◽  
One Dimension ◽  
Quantum Time

scholarly journals CLASSICAL AND QUANTUM TIME DEPENDENT SOLUTIONS IN STRING THEORY

2004 ◽  
Vol 19 (32) ◽  
pp. 5651-5661 ◽  
Author(s):  
C. MARTÍNEZ-PRIETO ◽  
O. OBREGÓN ◽  
J. SOCORRO
Keyword(s):  
Quantum Mechanics ◽  
Effective Action ◽  
Scalar Fields ◽  
Time Dependent ◽  
Interpretation Of Quantum Mechanics ◽  
Quantum Time ◽  
Dependent Model ◽  
Classical Behavior ◽  
Time Dependent Model ◽  
Friedmann Robertson Walker

Using the ontological interpretation of quantum mechanics in a particular sense, we obtain the classical behavior of the scale factor and two scalar fields, derived from a string effective action for the Friedmann–Robertson–Walker (FRW) time dependent model. Besides, the Wheeler–DeWitt equation is solved exactly. We speculate that the same procedure could also be applied to S-branes.

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 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
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