Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Chemical Physics Letters

A Monte Carlo model for the non-equilibrium coherent kinetics of ensembles of two level systems

Savino Longo, Domenico Bruno, M. Capitelli, P. Minelli

Published Jan 1, 2000• 5 citations
Publisher
DOI
10.1016/s0009-2614(99)01236-1

Related papers

Monte-Carlo Approach to Stationary Non-equilibrium of Mesoscopic Systems

Andreas Dirks, Thomas Pruschke, Jong E. Han

NATO science for peace and security series. B, Physics and biophysics•Aug 21, 2012•0 citations

Stochastic models for the kinetics of ensembles of two-level systems

Savino Longo

Physics Letters A•Mar 1, 2000•5 citations

Monte Carlo Bethe-ansatz approach for the study of the Lieb-Liniger model

Zhehao Zhang, Yi-Cong Yu, Yang-Yang Chen +2 more

We have developed a Monte Carlo algorithm to explore the equilibrium and out-of-equilibrium properties of the Lieb-Liniger model. This Monte Carlo Bethe-ansatz (MCBA) algorithm has enabled us to successfully reconstruct statistical ensembles for equilibrium or postquench dynamics, thereby facilitating the calculation of macroscopic quantities of integrable models. Our results substantiate the validity of the (quench) thermodynamic Bethe-ansatz equation from the perspective of first-principles statistical physics. Additionally, we have employed this method to study the generalized Gibbs ensemble in relation to the postquench dynamics of the Lieb-Liniger model. Furthermore, we have demonstrated the MCBA algorithm's capacity to calculate correlations using Bethe-ansatz wave functions. Our approach offers an efficient methodology for the investigation of the equilibrium and out-of-equilibrium properties of integrable systems.

Physical Review A•Mar 27, 2024•2 citations

Non-Equilibrium Critical Dynamics of the Kinetic Baxter Model

Hiroshi Takano

The non-equilibrium critical dynamics of the Baxter model is studied through Monte Carlo simulations. The single-spin-flip stochastic dynamics is introduced on the basis of the formulation of the model as an Ising-type model on the square lattice with next-nearest-neighbor and four-spin interactions. At several points on the critical line, the dynamic critical exponent z and the critical exponent \bar λ c , which characterizes the non-equilibrium critical relaxation, are estimated for the two order parameters of the model, the magnetization and the polarization. For both order parameters, the estimated \bar λ c varies systematically along the critical line. On the other hand, the estimated z is almost constant. This suggests that while the exponent z is universal, the exponent \bar λ c is not.

Journal of the Physical Society of Japan•Mar 15, 1996•2 citations

Non-Equilibrium Dynamics with Quantum Monte Carlo

Qiaoyuan Dong

•Jan 1, 2017•1 citation

Quantum Monte Carlo Methods in Equilibrium and Nonequilibrium Systems

Masuo Suzuki

Springer series in solid-state sciences•Jan 1, 1987•102 citations
We have developed a Monte Carlo algorithm to explore the equilibrium and out-of-equilibrium properties of the Lieb-Liniger model. This Monte Carlo Bethe-ansatz (MCBA) algorithm has enabled us to successfully reconstruct statistical ensembles for equilibrium or postquench dynamics, thereby facilitating the calculation of macroscopic quantities of integrable models. Our results substantiate the validity of the (quench) thermodynamic Bethe-ansatz equation from the perspective of first-principles statistical physics. Additionally, we have employed this method to study the generalized Gibbs ensemble in relation to the postquench dynamics of the Lieb-Liniger model. Furthermore, we have demonstrated the MCBA algorithm's capacity to calculate correlations using Bethe-ansatz wave functions. Our approach offers an efficient methodology for the investigation of the equilibrium and out-of-equilibrium properties of integrable systems.
The non-equilibrium critical dynamics of the Baxter model is studied through Monte Carlo simulations. The single-spin-flip stochastic dynamics is introduced on the basis of the formulation of the model as an Ising-type model on the square lattice with next-nearest-neighbor and four-spin interactions. At several points on the critical line, the dynamic critical exponent z and the critical exponent \bar λ c , which characterizes the non-equilibrium critical relaxation, are estimated for the two order parameters of the model, the magnetization and the polarization. For both order parameters, the estimated \bar λ c varies systematically along the critical line. On the other hand, the estimated z is almost constant. This suggests that while the exponent z is universal, the exponent \bar λ c is not.