Imperial College London

DrDerekLee

Faculty of Natural SciencesDepartment of Physics

Senior Lecturer
 
 
 
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Contact

 

+44 (0)20 7594 7602dkk.lee Website

 
 
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Location

 

809Blackett LaboratorySouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Genway:2012:10.1103/PhysRevA.86.023609,
author = {Genway, S and Ho, AF and Lee, DKK},
doi = {10.1103/PhysRevA.86.023609},
journal = {PHYSICAL REVIEW A},
title = {Thermalization of local observables in small Hubbard lattices},
url = {http://dx.doi.org/10.1103/PhysRevA.86.023609},
volume = {86},
year = {2012}
}

RIS format (EndNote, RefMan)

TY  - JOUR
AB - We present a study of thermalization 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 thermalizes with the rest of the system as its environment. We explore numerically the existence of thermalization 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 thermalization over a wide range of parameters and that interactions are crucial for efficient thermalization of small systems. We relate this thermalization behavior to the eigenstate thermalization hypothesis and quantify numerically the extent to which eigenstate thermalization 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 thermalization.
AU - Genway,S
AU - Ho,AF
AU - Lee,DKK
DO - 10.1103/PhysRevA.86.023609
PY - 2012///
SN - 1050-2947
TI - Thermalization of local observables in small Hubbard lattices
T2 - PHYSICAL REVIEW A
UR - http://dx.doi.org/10.1103/PhysRevA.86.023609
UR - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=000307329500005&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
VL - 86
ER -