scholarly journals Many-body localization in the presence of long-range interactions and long-range hopping

2019 ◽  
Vol 99 (22) ◽  
Author(s):  
Sabyasachi Nag ◽  
Arti Garg
Keyword(s):  
Long Range ◽  
Many Body ◽  
Long Range Interactions

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

scholarly journals How many particles make up a chaotic many-body quantum system?

2021 ◽  
Vol 10 (4) ◽  
Author(s):  
Guy Zisling ◽  
Lea Santos ◽  
Yevgeny Bar Lev
Keyword(s):  
Long Range ◽  
Quantum Chaos ◽  
Short Range ◽  
Many Body ◽  
Interacting Particles ◽  
One Dimensional ◽  
Long Range Interactions ◽  
Minimum Number ◽  
Many Particles ◽  
Number Of Particles

We numerically investigate the minimum number of interacting particles, which is required for the onset of strong chaos in quantum systems on a one-dimensional lattice with short-range and long-range interactions. We consider multiple system sizes which are at least three times larger than the number of particles and find that robust signatures of quantum chaos emerge for as few as 4 particles in the case of short-range interactions and as few as 3 particles for long-range interactions, and without any apparent dependence on the size of the system.

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