Reaching the ground state of a quantum spin glass using a zero-temperature quantum Monte Carlo method

被引:8
作者
Das, Arnab [1 ]
Chakrabarti, Bikas K. [2 ,3 ]
机构
[1] Abdus Salam Int Ctr Theoret Phys, I-34014 Trieste, Italy
[2] Saha Inst Nucl Phys, Theoret Condensed Matter Phys Div, Kolkata 700064, W Bengal, India
[3] Saha Inst Nucl Phys, Ctr Appl Math & Computat Sci, Kolkata 700064, W Bengal, India
来源
PHYSICAL REVIEW E | 2008年 / 78卷 / 06期
关键词
annealing; ground states; Ising model; Monte Carlo methods; spin glasses;
D O I
10.1103/PhysRevE.78.061121
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
Here we discuss the annealing behavior of an infinite-range +/- J Ising spin glass in the presence of a transverse field using a zero-temperature quantum Monte Carlo method. Within the simulation scheme, we demonstrate that quantum annealing not only helps finding the ground state of a classical spin glass, but can also help simulating the ground state of a quantum spin glass, in particular, when the transverse field is low, much more efficiently.
引用
收藏
页数:6
相关论文
共 17 条
[1]  
[Anonymous], 1987, WORLD SCI LECT NOTES
[2]   ON THE COMPUTATIONAL-COMPLEXITY OF ISING SPIN-GLASS MODELS [J].
BARAHONA, F .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1982, 15 (10) :3241-3253
[3]   Quantum annealing of a disordered magnet [J].
Brooke, J ;
Bitko, D ;
Rosenbaum, TF ;
Aeppli, G .
SCIENCE, 1999, 284 (5415) :779-781
[4]   Quantum annealing in a kinetically constrained system [J].
Das, A ;
Chakrabarti, BK ;
Stinchcombe, RB .
PHYSICAL REVIEW E, 2005, 72 (02)
[5]  
DAS A, 2005, LECT NOTE PHYS, V679
[6]   Monte Carlo simulation of the quantum transverse Ising model [J].
deOliveira, MJ ;
Chiappin, JRN .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1997, 238 (1-4) :307-316
[7]   A quantum adiabatic evolution algorithm applied to random instances of an NP-complete problem [J].
Farhi, E ;
Goldstone, J ;
Gutmann, S ;
Lapan, J ;
Lundgren, A ;
Preda, D .
SCIENCE, 2001, 292 (5516) :472-476
[8]   Quantum annealing in the transverse Ising model [J].
Kadowaki, T ;
Nishimori, H .
PHYSICAL REVIEW E, 1998, 58 (05) :5355-5363
[9]   Quantum annealing of the traveling-salesman problem [J].
Martonák, Roman ;
Santoro, Giuseppe E. ;
Tosatti, Erio .
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 2004, 70 (5 2) :057701-1
[10]   Monte Carlo method for obtaining the ground-state properties of quantum spin systems [J].
Neirotti, JP ;
deOliveira, MJ .
PHYSICAL REVIEW B, 1996, 53 (02) :668-673