Thermalisation of Local Observables in Small Hubbard Lattices

Details Thermalisation of Local Observables in Small Hubbard Lattices Thermalisation of Local Observables in Small Hubbard Lattices

2012-04-13

arxiv.org/abs/1204.3036v1

Physics

Condensed Matter

Quantum Gases

22 pages, 23 figures

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Thermalisation of Local Observables in Small Hubbard Lattices does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Thermalisation of Local Observables in Small Hubbard Lattices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Thermalisation of Local Observables in Small Hubbard Lattices will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-144463