scholarly journals Quantum quench from a thermal tensor state: Boundary effects and generalized Gibbs ensemble

2014 ◽  
Vol 89 (21) ◽  
Author(s):  
Mario Collura ◽  
Dragi Karevski
Keyword(s):  
Boundary Effects ◽  
Gibbs Ensemble ◽  
Quantum Quench ◽  
State Boundary ◽  
Generalized Gibbs Ensemble

scholarly journals Noncommutative generalized Gibbs ensemble in isolated integrable quantum systems

2020 ◽  
Vol 2 (3) ◽  
Author(s):  
Kouhei Fukai ◽  
Yuji Nozawa ◽  
Koji Kawahara ◽  
Tatsuhiko N. Ikeda
Keyword(s):  
Quantum Systems ◽  
Gibbs Ensemble ◽  
Integrable Quantum ◽  
Generalized Gibbs Ensemble

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.

scholarly journals Quenching the Anisotropic Heisenberg Chain: Exact Solution and Generalized Gibbs Ensemble Predictions

2014 ◽  
Vol 113 (11) ◽  
Author(s):  
B. Wouters ◽  
J. De Nardis ◽  
M. Brockmann ◽  
D. Fioretto ◽  
M. Rigol ◽  
...  
Keyword(s):  
Exact Solution ◽  
Gibbs Ensemble ◽  
Heisenberg Chain ◽  
Generalized Gibbs Ensemble
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