Please use this identifier to cite or link to this item:
https://hdl.handle.net/20.500.12202/4297
Title: | From few- to many-body quantum systems. |
Authors: | Schiulaz, Mauro Tavora, Marco Santos, Lea F. 0000-0001-9400-2709 |
Keywords: | many-body quantum systems quantum chaos few-body quantum systems quantum spin chains |
Issue Date: | 3-Sep-2018 |
Publisher: | IOP Publishing |
Citation: | Schiulaz, M., Tavora, M., and Santos, L.F. From few- to many-body quantum systems. Quantum Science and Technology 3(4), 044006. |
Series/Report no.: | Quantum Science and Technology;3 |
Abstract: | 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. |
URI: | http://iopscience.iop.org/article/10.1088/2058-9565/aad913 https://hdl.handle.net/20.500.12202/4297 |
ISSN: | 2058-9565 |
Appears in Collections: | Stern College for Women -- Faculty Publications |
Files in This Item:
File | Description | Size | Format | |
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Santos arXiv From few QST 2018 1802.08691.pdf | arxiv preprint | 266.84 kB | Adobe PDF | View/Open |
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