Replica Optimization Method for Ground-State Search of Random Spin-Systems

1992 ◽  
pp. 240-241
Author(s):  
N. Kawashima ◽  
M. Suzuki
Keyword(s):  
Ground State ◽  
Optimization Method ◽  
Spin Systems

On the Ground State of Spin Systems with Orbital Degeneracy

2002 ◽  
Vol 37 (1) ◽  
pp. 105-110
Author(s):  
Shi Da-Ning ◽  
Li Ning ◽  
Yang Zhi-Hong
Keyword(s):  
Ground State ◽  
Spin Systems ◽  
Orbital Degeneracy

scholarly journals Fractal Symmetric Phases of Matter

2019 ◽  
Vol 6 (1) ◽  
Author(s):  
Trithep Devakul ◽  
Yizhi You ◽  
F. J. Burnell ◽  
Shivaji Sondhi
Keyword(s):  
Cellular Automata ◽  
Ground State ◽  
Spin Systems ◽  
Fractal Structures ◽  
Ordered Phases ◽  
Symmetry Protected

We study spin systems which exhibit symmetries that act on a fractal subset of sites, with fractal structures generated by linear cellular automata. In addition to the trivial symmetric paramagnet and spontaneously symmetry broken phases, we construct additional fractal symmetry protected topological (FSPT) phases via a decorated defect approach. Such phases have edges along which fractal symmetries are realized projectively, leading to a symmetry protected degeneracy along the edge. Isolated excitations above the ground state are symmetry protected fractons, which cannot be moved without breaking the symmetry. In 3D, our construction leads additionally to FSPT phases protected by higher form fractal symmetries and fracton topologically ordered phases enriched by the additional fractal symmetries.

scholarly journals Separability and ground-state factorization in quantum spin systems

2009 ◽  
Vol 79 (22) ◽  
Author(s):  
Salvatore M. Giampaolo ◽  
Gerardo Adesso ◽  
Fabrizio Illuminati
Keyword(s):  
Ground State ◽  
Quantum Spin ◽  
Spin Systems ◽  
Quantum Spin Systems

scholarly journals Unconventional phase transitions in strongly anisotropic 2D (pseudo)spin systems

2018 ◽  
Vol 185 ◽  
pp. 08006
Author(s):  
Vitaly Konev ◽  
Evgeny Vasinovich ◽  
Vasily Ulitko ◽  
Yury Panov ◽  
Alexander Moskvin
Keyword(s):  
Magnetic Field ◽  
Monte Carlo ◽  
Phase Transitions ◽  
Ground State ◽  
Quantum Monte Carlo ◽  
Mean Field ◽  
Spin Systems ◽  
Field Approach ◽  
Generalized Mean

We have applied a generalized mean-field approach and quantum Monte-Carlo technique for the model 2D S = 1 (pseudo)spin system to find the ground state phase with its evolution under application of the (pseudo)magnetic field. The comparison of the two methods allows us to clearly demonstrate the role of quantum effects. Special attention is given to the role played by an effective single-ion anisotropy ("on-site correlation").

scholarly journals QUANTUM DISCORD IN THE GROUND STATE OF SPIN CHAINS

2012 ◽  
Vol 27 (01n03) ◽  
pp. 1345030 ◽  
Author(s):  
MARCELO S. SARANDY ◽  
THIAGO R. DE OLIVEIRA ◽  
LUIGI AMICO
Keyword(s):  
Ground State ◽  
Quantum Discord ◽  
Quantum Phase Transitions ◽  
Spatial Dimension ◽  
Quantum Systems ◽  
Quantum Spin ◽  
Spin Systems ◽  
Quantum Spin Systems ◽  
Quantum Spin Chain ◽  
Quantum Critical Points

The ground state of a quantum spin chain is a natural playground for investigating correlations. Nevertheless, not all correlations are genuinely of quantum nature. Here we review the recent progress to quantify the "quantumness" of the correlations throughout the phase diagram of quantum spin systems. Focusing to one spatial dimension, we discuss the behavior of quantum discord (QD) close to quantum phase transitions (QPT). In contrast to the two-spin entanglement, pairwise discord is effectively long-ranged in critical regimes. Besides the features of QPT, QD is especially feasible to explore the factorization phenomenon, giving rise to nontrivial ground classical states in quantum systems. The effects of spontaneous symmetry breaking are also discussed as well as the identification of quantum critical points through correlation witnesses.

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