Thermalisation of Local Observables in Small Hubbard Lattices

Autor:	Genway, S., Ho, A. F., Lee, D. K. K.
Rok vydání:	2012
Předmět:	Condensed Matter - Quantum Gases Condensed Matter - Mesoscale and Nanoscale Physics Condensed Matter - Statistical Mechanics
Zdroj:	Phys. Rev. A 86, 023609 (2012)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevA.86.023609
Popis:	We present a study of thermalisation of a small isolated Hubbard lattice cluster prepared in a pure state with a well-defined energy. We examine how a two-site subsystem of the lattice thermalises with the rest of the system as its environment. We explore numerically the existence of thermalisation over a range of system parameters, such as the interaction strength, system size and the strength of the coupling between the subsystem and the rest of the lattice. We find thermalisation over a wide range of parameters and that interactions are crucial for efficient thermalisation of small systems. We relate this thermalisation behaviour to the eigenstate thermalisation hypothesis and quantify numerically the extent to which eigenstate thermalisation holds. We also verify our numerical results theoretically with the help of previously established results from random matrix theory for the local density of states, particularly the finite-size scaling for the onset of thermalisation. Comment: 22 pages, 23 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1204.3036 Zobrazit plný text záznamu View this record from Arxiv