De Aller-Bedste Bøger - over 12 mio. danske og engelske bøger
Levering: 1 - 2 hverdage

Static and Dynamic Properties of low dimensional Quantum Spin Systems

Static and Dynamic Properties of low dimensional Quantum Spin Systemsaf Simon Nils Grossjohann
Bag om Static and Dynamic Properties of low dimensional Quantum Spin Systems

In my thesis, static and dynamic properties of low-dimensional spin models were studied by means of a state of the art QMC method (SSE). As one among many numerical algorithms (e.g. DMRG, ED), the QMC proved to be a very flexible and high performance tool with access to dynamic correlation functions at finite temperatures and finite magnetic fields within the thermodynamic limit1. After detailed introduction of the QMC¿s basic implementation, I provided yet unpublished information about the measurement of transverse (and longitudinal) imaginary time correlation functions for the spin S Heisenberg model. In addition to that, complications of the analytic continuation to the real axis were explained and two common Maximum Entropy algorithms (Bryan and Meshkov) introduced briefly. In my thesis, both algorithms have been implemented and contrasted in regard to their performance and quality of the continuation, clearly favoring Bryan¿s method which is a standard least square algorithm based on Newton iterations with however highly optimized search directions in the multi-dimensional solution space.

Vis mere
  • Sprog:
  • Engelsk
  • ISBN:
  • 9783869554198
  • Indbinding:
  • Paperback
  • Sideantal:
  • 168
  • Udgivet:
  • 17. august 2010
  • Størrelse:
  • 148x9x210 mm.
  • Vægt:
  • 226 g.
  • 2-3 uger.
  • 30. november 2024
På lager

Normalpris

Abonnementspris

- Rabat på køb af fysiske bøger
- 1 valgfrit digitalt ugeblad
- 20 timers lytning og læsning
- Adgang til 70.000+ titler
- Ingen binding

Abonnementet koster 75 kr./md.
Ingen binding og kan opsiges når som helst.

Beskrivelse af Static and Dynamic Properties of low dimensional Quantum Spin Systems

In my thesis, static and dynamic properties of low-dimensional spin models were studied by means of a state of the art QMC method (SSE). As one among many numerical algorithms (e.g. DMRG, ED), the QMC proved to be a very flexible and high performance tool with access to dynamic correlation functions at finite temperatures and finite magnetic fields within the thermodynamic limit1. After detailed introduction of the QMC¿s basic implementation, I provided yet unpublished information about the measurement of transverse (and longitudinal) imaginary time correlation functions for the spin S Heisenberg model. In addition to that, complications of the analytic continuation to the real axis were explained and two common Maximum Entropy algorithms (Bryan and Meshkov) introduced briefly. In my thesis, both algorithms have been implemented and contrasted in regard to their performance and quality of the continuation, clearly favoring Bryan¿s method which is a standard least square algorithm based on Newton iterations with however highly optimized search directions in the multi-dimensional solution space.

Brugerbedømmelser af Static and Dynamic Properties of low dimensional Quantum Spin Systems



Find lignende bøger
Bogen Static and Dynamic Properties of low dimensional Quantum Spin Systems findes i følgende kategorier: