Andere Kunden interessierten sich auch für
![Geometrically Constructed Markov Chain Monte Carlo Study of Quantum Spin-Phonon Complex Systems]( "Geometrically Constructed Markov Chain Monte Carlo Study of Quantum Spin-Phonon Complex Systems")
Geometrically Constructed Markov Chain Monte Carlo Study of Quantum Spin-Phonon Complex Systems37,99 €![Finite Sample Analysis in Quantum Estimation]( "Finite Sample Analysis in Quantum Estimation")
Finite Sample Analysis in Quantum Estimation74,99 €![Finite Sample Analysis in Quantum Estimation]( "Finite Sample Analysis in Quantum Estimation")
Finite Sample Analysis in Quantum Estimation74,99 €![Formulation of Uncertainty Relation Between Error and Disturbance in Quantum Measurement by Using Quantum Estimation Theory]( "Formulation of Uncertainty Relation Between Error and Disturbance in Quantum Measurement by Using Quantum Estimation Theory")
Formulation of Uncertainty Relation Between Error and Disturbance in Quantum Measurement by Using Quantum Estimation Theory37,99 €![Information Thermodynamics on Causal Networks and its Application to Biochemical Signal Transduction]( "Information Thermodynamics on Causal Networks and its Application to Biochemical Signal Transduction")
Information Thermodynamics on Causal Networks and its Application to Biochemical Signal Transduction74,99 €![Formulation of Statistical Mechanics Based on Thermal Pure Quantum States]( "Formulation of Statistical Mechanics Based on Thermal Pure Quantum States")
Formulation of Statistical Mechanics Based on Thermal Pure Quantum States74,99 €![Einstein's Struggles with Quantum Theory]( "Einstein's Struggles with Quantum Theory")
Einstein's Struggles with Quantum Theory123,99 €
In this thesis, novel Monte Carlo methods for precisely calculating the critical phenomena of the effectively frustrated quantum spin system are developed and applied to the critical phenomena of the spin-Peierls systems. Three significant methods are introduced for the first time: a new optimization algorithm of the Markov chain transition kernel based on the geometric weight-allocation approach, the extension of the worm (directed-loop) algorithm to nonconserved particles, and the combination with the level spectroscopy. Utilizing these methods, the phase diagram of the one-dimensional XXZ spin-Peierls system is elucidated. Furthermore, the multi-chain and two-dimensional spin-Peierls systems with interchain lattice interaction are investigated. The unbiased simulation shows that the interesting quantum phase transition between the 1D-like liquid phase and the macroscopically-degenerated dimer phase occurs on the fully-frustrated parameter line that separates the doubly-degenerated dimer phases in the two-dimensional phase diagram. The spin-phonon interaction in the spin-Peierls system introduces the spin frustration, which usually hinders the quantum Monte Carlo analysis, owing to the notorious negative sign problem. In this thesis, the author has succeeded in precisely calculating the critical phenomena of the effectively frustrated quantum spin system by means of the quantum Monte Carlo method without the negative sign.