From few- to many-body quantum systems.
Santos, Lea F.
MetadataShow full item record
How many particles are necessary to make a quantum system many-body? To answer this question, we take as reference for the many-body limit a quantum system at half-filling and compare its properties with those of a system with N particles, gradually increasing N from 1. We show that convergence for the static properties of the system with few particles to the many-body limit is fast. For $N\gtrsim 4$, the density of states is already very close to Gaussian and signatures of many-body quantum chaos, such as level repulsion and fully extended eigenstates, become evident. The dynamics, on the other hand, depend on the initial state and time scale. In dilute systems, as the particles move away from each other, the entropy growth changes in time from linear, as typical for many-body systems, to logarithmic.
- Faculty Publication 
The following license files are associated with this item:
Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivs 3.0 United States
Showing items related by title, author, creator and subject.
Karmacharya, Rakesh (ProQuest Dissertations & Theses, 2000)Theoretical studies of proton transfer in condensed phase are presented. Three particular issues have been addressed: the effect of anharmonicity of the bath modes, the role of coupled nonreactive motions in laser control ...