Short-range ±Jinteraction Ising spin glass in a transverse field on a Bethe lattice: a quantum-spherical approach

2005 ◽  
Vol 243 (2) ◽  
pp. 502-511 ◽  
Author(s):  
T. K. Kopeć ◽  
K. D. Usadel
1991 ◽  
Vol 44 (22) ◽  
pp. 12583-12585 ◽  
Author(s):  
K. D. Usadel ◽  
G. Büttner ◽  
T. K. Kopeć

1988 ◽  
Vol 37 (13) ◽  
pp. 7649-7654 ◽  
Author(s):  
C. Kwon ◽  
D. J. Thouless

Author(s):  
G. Mossi ◽  
A. Scardicchio

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’.


1991 ◽  
Vol 43 (10) ◽  
pp. 8199-8203 ◽  
Author(s):  
K. Gunnarsson ◽  
P. Svedlindh ◽  
P. Nordblad ◽  
L. Lundgren ◽  
H. Aruga ◽  
...  

1997 ◽  
Vol 81 (8) ◽  
pp. 5279-5281 ◽  
Author(s):  
E. P. Raposo ◽  
M. D. Coutinho-Filho

1997 ◽  
Vol 55 (9) ◽  
pp. 5623-5626 ◽  
Author(s):  
T. K. Kopec-acute ◽  
R. Pirc

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