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

Eigenstate Gibbs ensemble in integrable quantum systems

2016 ◽  
Vol 94 (24) ◽  
Author(s):  
Sourav Nandy ◽  
Arnab Sen ◽  
Arnab Das ◽  
Abhishek Dhar
Keyword(s):  
Quantum Systems ◽  
Gibbs Ensemble ◽  
Integrable Quantum

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 Transport in one-dimensional integrable quantum systems

2020 ◽  
Author(s):  
Jesko Sirker
Keyword(s):  
Transport Properties ◽  
Spin Chain ◽  
Linear Response ◽  
Summer School ◽  
Condensed Matter ◽  
Quantum Systems ◽  
Integrable Models ◽  
One Dimensional ◽  
Integrable Quantum ◽  
Linear Response Regime

These notes are based on a series of three lectures given at the Les Houches summer school on ’Integrability in Atomic and Condensed Matter Physics’ in August 2018. They provide an introduction into the unusual transport properties of integrable models in the linear response regime focussing, in particular, on the spin-1/21/2 XXZ spin chain.

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