scholarly journals Nonlocal constants of motion in Lagrangian Dynamics of any order

2022 ◽  
pp. 100262
Author(s):  
Gianluca Gorni ◽  
Mattia Scomparin ◽  
Gaetano Zampieri
Keyword(s):  
Lagrangian Dynamics ◽  
Constants Of Motion

scholarly journals Lagrangian dynamics by nonlocal constants of motion

2020 ◽  
Vol 13 (10) ◽  
pp. 2751-2759
Author(s):  
Gianluca Gorni ◽  
◽  
Gaetano Zampieri ◽  
Keyword(s):  
Lagrangian Dynamics ◽  
Constants Of Motion

scholarly journals Signature of Generalized Gibbs Ensemble Deviation from Equilibrium: Negative Absorption Induced by a Local Quench

Entropy ◽  
2021 ◽  
Vol 23 (2) ◽  
pp. 220
Author(s):  
Lorenzo Rossi ◽  
Fabrizio Dolcini ◽  
Fabio Cavaliere ◽  
Niccolò Traverso Ziani ◽  
Maura Sassetti ◽  
...  
Keyword(s):  
Optical Gain ◽  
Electron System ◽  
Bound State ◽  
Stimulated Emission ◽  
Optical Measurements ◽  
Gibbs Ensemble ◽  
Attractive Potential ◽  
Dimensional Electron System ◽  
Constants Of Motion ◽  
Generalized Gibbs Ensemble

When a parameter quench is performed in an isolated quantum system with a complete set of constants of motion, its out of equilibrium dynamics is considered to be well captured by the Generalized Gibbs Ensemble (GGE), characterized by a set {λα} of coefficients related to the constants of motion. We determine the most elementary GGE deviation from the equilibrium distribution that leads to detectable effects. By quenching a suitable local attractive potential in a one-dimensional electron system, the resulting GGE differs from equilibrium by only one single λα, corresponding to the emergence of an only partially occupied bound state lying below a fully occupied continuum of states. The effect is shown to induce optical gain, i.e., a negative peak in the absorption spectrum, indicating the stimulated emission of radiation, enabling one to identify GGE signatures in fermionic systems through optical measurements. We discuss the implementation in realistic setups.

Arcs of discrete dynamics and constants of motion

1982 ◽  
Vol 6 (4) ◽  
pp. 249-252 ◽  
Author(s):  
R. Vilela Mendes ◽  
J. Taborda Duarte
Keyword(s):  
Discrete Dynamics ◽  
Constants Of Motion

Third-order constants of motion in quantum mechanics

1977 ◽  
Vol 16 (11) ◽  
pp. 829-835 ◽  
Author(s):  
S. Datta Majumdar ◽  
M. J. Englefield
Keyword(s):  
Quantum Mechanics ◽  
Third Order ◽  
Constants Of Motion

Center-of-mass variables in the relativistic Lagrangian dynamics of a system of particles

1994 ◽  
Vol 101 (3) ◽  
pp. 1443-1453 ◽  
Author(s):  
R. P. Gaida ◽  
V. I. Tretyak ◽  
Yu. G. Yaremko
Keyword(s):  
Center Of Mass ◽  
Lagrangian Dynamics ◽  
System Of Particles
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