scholarly journals Discrete-Time and Single-Spin-Flip Dynamics of the Ising Chain

1990 ◽  
Vol 83 (4) ◽  
pp. 682-692 ◽  
Author(s):  
N. Ito
Keyword(s):  
Discrete Time ◽  
Ising Chain ◽  
Single Spin ◽  
Spin Flip

Generalized single-spin-flip dynamics for the Ising model and thermodynamic properties

1994 ◽  
Vol 49 (5) ◽  
pp. 3576-3579 ◽  
Author(s):  
A. M. Mariz ◽  
F. D. Nobre ◽  
C. Tsallis
Keyword(s):  
Ising Model ◽  
Thermodynamic Properties ◽  
Single Spin ◽  
Spin Flip

scholarly journals Quantum batteries at the verge of a phase transition

2021 ◽  
Author(s):  
Felipe Barra ◽  
Karen Hovhannisyan ◽  
Alberto Imparato
Keyword(s):  
Phase Transition ◽  
Phase Transition Point ◽  
Thermodynamic Efficiency ◽  
Ising Chain ◽  
Battery Charger ◽  
Coupling Term ◽  
Strongly Coupled ◽  
Single Spin ◽  
Quantum Device ◽  
Reduced State

Abstract Starting from the observation that the reduced state of a system strongly coupled to a bath is, in general, an athermal state, we introduce and study a cyclic battery-charger quantum device that is in thermal equilibrium, or in a ground state, during the charge storing stage. The cycle has four stages: the equilibrium storage stage is interrupted by disconnecting the battery from the charger, then work is extracted from the battery, and then the battery is reconnected with the charger; finally, the system is brought back to equilibrium. At no point during the cycle are the battery-charger correlations artificially erased. We study the case where the battery and charger together comprise a spin-1/2 Ising chain, and show that the main characteristics - the extracted energy and the thermodynamic efficiency - can be enhanced by operating the cycle close to the quantum phase transition point. When the battery is just a single spin, we find that the output work and efficiency show a scaling behavior at criticality and derive the corresponding critical exponents. Due to always present correlations between the battery and the charger, operations that are equivalent from the perspective of the battery can entail different energetic costs for switching the battery-charger coupling. This happens only when the coupling term does not commute with the battery's bare Hamiltonian, and we use this purely quantum leverage to further optimize the performance of the device.

Multi-spin-flip dynamics of the Ising chain

1990 ◽  
Vol 166 (2) ◽  
pp. 193-205 ◽  
Author(s):  
Nobuyasu Ito ◽  
Tetsuhiko Chikyu
Keyword(s):  
Ising Chain ◽  
Spin Flip

EXTENDED APPLICATION OF CONSTRUCTIVE CRITERIA FOR ERGODICITY OF INTERACTING PARTICLE SYSTEMS

1996 ◽  
Vol 07 (01) ◽  
pp. 1-18 ◽  
Author(s):  
HANS DE JONG ◽  
CHRISTIAN MAES
Keyword(s):  
Cellular Automata ◽  
Discrete Time ◽  
Continuous Time ◽  
Interacting Particle Systems ◽  
Particle Systems ◽  
Probabilistic Cellular Automata ◽  
Interacting Particle ◽  
Spin Flip ◽  
Extended Application ◽  
Computational Aspects

We discuss computational aspects of verifying constructive criteria for ergodicity of interacting particle systems. Both discrete time (probabilistic cellular automata) and continuous time spin flip dynamics are considered. We also investigate how the criteria have to be adapted if stirring is added to the dynamics.

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