DOMAIN WALLS IN THE TRANSVERSE FIELD ISING SPIN GLASSES

Fractals ◽  
1996 ◽  
Vol 04 (03) ◽  
pp. 401-406
Author(s):  
MAI SUAN LI ◽  
MAREK CIEPLAK
Keyword(s):  
Domain Wall ◽  
Spin Glasses ◽  
Domain Walls ◽  
Mean Field ◽  
Fractal Dimensionality ◽  
Transverse Field ◽  
Quantum Fluctuations ◽  
Field Method ◽  
Ising Spin ◽  
Local Mean

Interfaces in Ising spin glasses in the transverse field are studied by the local mean field method. The quantum fluctuations are found to make the length of domain walls shorter and smoother and to reduce the fractal dimensionality of the wall. The domain wall are almost as narrow as in the classical Ising case.

FRACTAL DOMAIN WALLS IN ISING SPIN GLASSES

Fractals ◽  
1994 ◽  
Vol 02 (04) ◽  
pp. 481-484 ◽  
Author(s):  
MAREK CIEPLAK ◽  
MAI SUAN LI
Keyword(s):  
Spin Glasses ◽  
Domain Walls ◽  
Mean Field ◽  
Field Studies ◽  
Three Dimensions ◽  
Ising Spin ◽  
Local Mean ◽  
Fractal Domain

Local mean field studies of domain walls in Ising spin glasses yield the fractal dimensionalities of 1.27 ± 0.04 and 2.57 ± 0.07 for two and three dimensions, respectively.

Local Mean Field Dynamics of Ising Spin Glasses

1995 ◽  
Vol 5 (1) ◽  
pp. 71-83
Author(s):  
Tran Quang Hung ◽  
Mai Suan Li ◽  
Marek Cieplak
Keyword(s):  
Spin Glasses ◽  
Mean Field ◽  
Ising Spin ◽  
Local Mean

scholarly journals Ergodic and localized regions in quantum spin glasses on the Bethe lattice

2017 ◽  
Vol 375 (2108) ◽  
pp. 20160424 ◽  
Author(s):  
G. Mossi ◽  
A. Scardicchio
Keyword(s):  
Spin Glass ◽  
Spin Glasses ◽  
Quantum Dynamics ◽  
Bethe Lattice ◽  
Transverse Field ◽  
Quantum Systems ◽  
Quantum Spin ◽  
Many Body ◽  
Spin Glass Phase ◽  
Ising Spin

By considering the quantum dynamics of a transverse-field Ising spin glass on the Bethe lattice, we find the existence of a many-body localized (MBL) region at small transverse field and low temperature. The region is located within the thermodynamic spin glass phase. Accordingly, we conjecture that quantum dynamics inside the glassy region is split into a small MBL region and a large delocalized (but not necessarily ergodic) region. This has implications for the analysis of the performance of quantum adiabatic algorithms. This article is part of the themed issue ‘Breakdown of ergodicity in quantum systems: from solids to synthetic matter’.

THE TRANSVERSE ISING MODEL UNDER A TIME OSCILLATING FIELD

1999 ◽  
Vol 13 (02) ◽  
pp. 207-214 ◽  
Author(s):  
M. SANTOS ◽  
M. J. de OLIVEIRA
Keyword(s):  
Mean Field ◽  
Transverse Field ◽  
Field Approximation ◽  
Quantum Spin ◽  
Monte Carlo Algorithm ◽  
Mean Field Approximation ◽  
Quantum Spin Chains ◽  
Loop Area ◽  
Ising Spin ◽  
Ising Spin System

We have studied an Ising spin system in a transverse field, at zero temperature, under a time oscillating longitudinal field by means of a mean-field approximation and a Monte Carlo algorithm, appropriate to study the ground-state properties of quantum spin chains. For large values of the transverse field Γ or large amplitude h0 of the oscillating field, the magnetization oscillates around a zero value with the same frequency but delayed. Decreasing Γ, at small a h0, the system undergoes a phase transition to a state in which the magnetization oscillates around a nonzero value. We have also obtained the behavior of the hysteresis loop area near the Curie point.

Nonlinearities in Artificial Neural Systems Interpreted as an Application of Ising Physics

2006 ◽  
Vol 11 (4) ◽  
pp. 367-383 ◽  
Author(s):  
A. Garliauskas
Keyword(s):  
Spin Glasses ◽  
Mean Field ◽  
Spin Systems ◽  
Neural Systems ◽  
Applied Physics ◽  
Ising Spin ◽  
Artificial Neural Systems ◽  
Field Systems ◽  
Artificial Neural ◽  
Hamiltonian Functions

In this review, the nonlinearities in different processes such as spin glasses, finite field models, Hamiltonian functions, learning and storing capabilities, mean field systems and others in the area of physics related to the artificial neural networks namely the main brain structure interpreted as Ising spin systems are discussed. It is shown that nonlinearities serve as exclusive role in the applied physics field.

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