scholarly journals Finite-size errors in quantum many-body simulations of extended systems

1999 ◽  
Vol 59 (3) ◽  
pp. 1917-1929 ◽  
Author(s):  
P. R. C. Kent ◽  
Randolph Q. Hood ◽  
A. J. Williamson ◽  
R. J. Needs ◽  
W. M. C. Foulkes ◽  
...  
Keyword(s):  
Finite Size ◽  
Many Body ◽  
Extended Systems

scholarly journals Probing resonating valence bond states in artificial quantum magnets

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Kai Yang ◽  
Soo-Hyon Phark ◽  
Yujeong Bae ◽  
Taner Esat ◽  
Philip Willke ◽  
...  
Keyword(s):  
Quantum Information Processing ◽  
Energy Levels ◽  
Finite Size ◽  
Valence Bond ◽  
Exchange Interactions ◽  
Atomic Scale ◽  
Scanning Tunneling ◽  
Many Body ◽  
Quantum Magnets ◽  
Resonating Valence Bond

AbstractDesigning and characterizing the many-body behaviors of quantum materials represents a prominent challenge for understanding strongly correlated physics and quantum information processing. We constructed artificial quantum magnets on a surface by using spin-1/2 atoms in a scanning tunneling microscope (STM). These coupled spins feature strong quantum fluctuations due to antiferromagnetic exchange interactions between neighboring atoms. To characterize the resulting collective magnetic states and their energy levels, we performed electron spin resonance on individual atoms within each quantum magnet. This gives atomic-scale access to properties of the exotic quantum many-body states, such as a finite-size realization of a resonating valence bond state. The tunable atomic-scale magnetic field from the STM tip allows us to further characterize and engineer the quantum states. These results open a new avenue to designing and exploring quantum magnets at the atomic scale for applications in spintronics and quantum simulations.

The Lagrange-Jacobi equation in the finite-size many-body problem

2003 ◽  
Vol 29 (9) ◽  
pp. 635-639
Author(s):  
L. G. Luk’yanov ◽  
L. P. Nasonova ◽  
G. I. Shirmin
Keyword(s):  
Jacobi Equation ◽  
Body Problem ◽  
Finite Size ◽  
Many Body

scholarly journals Finite-Size Error in Many-Body Simulations with Long-Range Interactions

2006 ◽  
Vol 97 (7) ◽  
Author(s):  
Simone Chiesa ◽  
David M. Ceperley ◽  
Richard M. Martin ◽  
Markus Holzmann
Keyword(s):  
Long Range ◽  
Finite Size ◽  
Many Body ◽  
Long Range Interactions

Elimination of Coulomb finite-size effects in quantum many-body simulations

1997 ◽  
Vol 55 (8) ◽  
pp. R4851-R4854 ◽  
Author(s):  
A. J. Williamson ◽  
G. Rajagopal ◽  
R. J. Needs ◽  
L. M. Fraser ◽  
W. M. C. Foulkes ◽  
...  
Keyword(s):  
Size Effects ◽  
Finite Size ◽  
Many Body ◽  
Finite Size Effects

scholarly journals Finite-size scaling analysis of the many-body localization transition in quasiperiodic spin chains

2021 ◽  
Vol 104 (21) ◽  
Author(s):  
Adith Sai Aramthottil ◽  
Titas Chanda ◽  
Piotr Sierant ◽  
Jakub Zakrzewski
Keyword(s):  
Finite Size ◽  
Spin Chains ◽  
Scaling Analysis ◽  
Finite Size Scaling ◽  
Many Body ◽  
Localization Transition ◽  
Size Scaling ◽  
The Many
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