TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.13.3.048
TI  - Generalised Gibbs Ensemble for spherically constrained harmonic models
PY  - 2022/09/02
UR  - https://www.scipost.org/SciPostPhys.13.3.048
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 13
IS  - 3
SP  - 048
A1  - Barbier, Damien
AU  - Cugliandolo, Leticia F.
AU  - Lozano, Gustavo
AU  - Nessi, Nicolas
AB  - We build and analytically calculate the Generalised Gibbs Ensemble partition function of the integrable Soft Neumann Model. This is the model of a classical particle which is constrained to move, on average over the initial conditions, on an $N$ dimensional sphere, and feels the effect of anisotropic harmonic potentials. We derive all relevant averaged static observables in the (thermodynamic) $N\rightarrow\infty$ limit. We compare them to their long-term dynamic averages finding excellent agreement in all phases of a non-trivial phase diagram determined by the characteristics of the initial conditions and the amount of energy injected or extracted in an instantaneous quench. We discuss the implications of our results for the proper Neumann model in which the spherical constraint is imposed strictly.
ER  -

@Article{10.21468/SciPostPhys.13.3.048,
	title={{Generalised Gibbs Ensemble for spherically constrained harmonic models}},
	author={Damien Barbier and Leticia F. Cugliandolo and Gustavo S. Lozano and Nicolás Nessi},
	journal={SciPost Phys.},
	volume={13},
	pages={048},
	year={2022},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.13.3.048},
	url={https://scipost.org/10.21468/SciPostPhys.13.3.048},
}