scholarly journals Statistical mechanics of quantum spin systems

1967 ◽  
Vol 6 (2) ◽  
pp. 151-160 ◽  
Author(s):  
Derek W. Robinson
Keyword(s):  
Statistical Mechanics ◽  
Quantum Spin ◽  
Spin Systems ◽  
Quantum Spin Systems

NUMERICAL STOCHASTIC METHODS IN STATISTICAL MECHANICS

1996 ◽  
Vol 10 (11) ◽  
pp. 1313-1327 ◽  
Author(s):  
MÁRIO J. DE OLIVEIRA
Keyword(s):  
Monte Carlo ◽  
Statistical Mechanics ◽  
Ground State ◽  
Stochastic Dynamics ◽  
Quantum Spin ◽  
Spin Systems ◽  
Stochastic Methods ◽  
Quantum Spin Systems ◽  
Microscopic Reversibility

We review the numerical stochastic methods used in statistical mechanics with emphasis on the Langevin and Monte Carlo methods. We point out the role of microscopic reversibility in setting up the stochastic dynamics associated to the methods. We also present a Monte Carlo method which allows the calculation of the ground state properties of quantum spin systems.

scholarly journals Statistical mechanics of quantum spin systems. III

1968 ◽  
Vol 9 (4) ◽  
pp. 327-338 ◽  
Author(s):  
Oscar E. Lanford ◽  
Derek W. Robinson
Keyword(s):  
Statistical Mechanics ◽  
Quantum Spin ◽  
Spin Systems ◽  
Quantum Spin Systems

scholarly journals Statistical mechanics of integrable quantum spin systems

2020 ◽  
Author(s):  
Frank Göhmann
Keyword(s):  
Statistical Mechanics ◽  
Major Change ◽  
Quantum Spin ◽  
Spin Systems ◽  
Quantum Spin Chains ◽  
Quantum Spin Systems ◽  
Equilibrium Statistical Mechanics ◽  
Xxz Model ◽  
Xxz Chain ◽  
Linear Integral

This script is based on the notes the author prepared to give a set of six lectures at the Les Houches School ``Integrability in Atomic and Condensed Matter Physics'' in the summer of 2018. The responsibility for the selection of the material is partially with the organisers, Jean-Sebastien Caux, Nikolai Kitanine, Andreas Klümper and Robert Konik. The school had its focus on the application of integrability based methods to problems in non-equilibrium statistical mechanics. My lectures were meant to complement this subject with background material on the equilibrium statistical mechanics of quantum spin chains from a vertex model perspective. I was asked to provide a minimal introduction to quantum spin systems including notions like the reduced density matrix and correlation functions of local observables. I was further asked to explain the graphical language of vertex models and to introduce the concepts of the Trotter decomposition and the quantum transfer matrix. This was basically the contents of the first four lectures presented at the school. In the remaining two lectures I started filling these notions with life by deriving an integral representation of the free energy per lattice site for the Heisenberg-Ising chain (alias XXZ model) using techniques based on non-linear integral equations.Up to small corrections the following sections 1-6 display the six lectures almost literally. The only major change is that the example of the XXZ chain has been moved from section 5 to 2. During the school it was not really necessary to introduce the model, since other speakers had explained it before. But for these notes I thought it might be useful to introduce the main example rather early. I also supplemented each lecture with a comment section which contains additional references and material of the type that was discussed informally with the participants.

scholarly journals Quantum Spin Systems at Positive Temperature

2006 ◽  
Vol 269 (3) ◽  
pp. 611-657 ◽  
Author(s):  
Marek Biskup ◽  
Lincoln Chayes ◽  
Shannon Starr
Keyword(s):  
Quantum Spin ◽  
Spin Systems ◽  
Positive Temperature ◽  
Quantum Spin Systems

High-field ESR in one-dimensional quantum spin systems

2000 ◽  
Vol 284-288 ◽  
pp. 1625-1626 ◽  
Author(s):  
Y Ajiro ◽  
T Asano ◽  
Y Inagaki ◽  
J.P Boucher ◽  
S Luther ◽  
...  
Keyword(s):  
High Field ◽  
Quantum Spin ◽  
Spin Systems ◽  
Quantum Spin Systems ◽  
One Dimensional ◽  
High Field Esr

scholarly journals Measures of macroscopicity for quantum spin systems

2012 ◽  
Vol 14 (9) ◽  
pp. 093039 ◽  
Author(s):  
Florian Fröwis ◽  
Wolfgang Dür
Keyword(s):  
Quantum Spin ◽  
Spin Systems ◽  
Quantum Spin Systems
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