Dynamics and Criticality of Correlated Electrons and Quantum Gases

C. Lavalle, M. Rigol, J. Hub and A. Muramatsu
Additional contact information
C. Lavalle: Universität Stuttgart, Institut für Theoretische Physik III
M. Rigol: Universität Stuttgart, Institut für Theoretische Physik III
J. Hub: Universität Stuttgart, Institut für Theoretische Physik III
A. Muramatsu: Universität Stuttgart, Institut für Theoretische Physik III

A chapter in High Performance Computing in Science and Engineering’ 04, 2005, pp 129-140 from Springer

Abstract: Abstract Quantum Monte Carlo simulations are used to study the dynamics and the critical properties of strongly correlated systems relevant to the fields of cold quantum gasses and high-T c superconductivity. Recent advances in cooling techniques of quantum gasses allow to reach the degenerate regime for fermionic samples. Loading these systems on optical lattices can bring the gas to a strongly correlated regime. We analyze the properties of trapped degenerate Fermi gasses on optical lattices and show that they display quantum critical behavior and universality at the boundaries between metallic and Mott insulating phases. On our other field of interest, high-T c superconductivity, a Quantum Monte Carlo algorithm we developed recently is used to study the dynamics of the nearest-neighbor (n.n) t-J model relevant to the low energy properties of the copper oxides materials. We show that antiholons identified in the supersymmetric inverse squared (ISE) t-J model are generic excitation of the n.n. model since they are clearly visible in the single-particle spectral function of the n.n. t-J model in the whole Luttinger-liquid regime. We have further shown that even the analysis of the two-particle spectral functions of the n.n. t-J model can be based on the elementary excitations of the ISE t-J model.

Keywords: Optical Lattice; Spinless Fermion; Quantum Monte Carlo Simulation; Charge Velocity; Charge Correlation Function (search for similar items in EconPapers)
Date: 2005
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-26589-4_14

Ordering information: This item can be ordered from
http://www.springer.com/9783540265894

DOI: 10.1007/3-540-26589-9_14

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().