scholarly journals Subdiffusion in a one-dimensional Anderson insulator with random dephasing: Finite-size scaling, Griffiths effects, and possible implications for many-body localization

2021 ◽  
Vol 103 (18) ◽  
Author(s):  
Scott R. Taylor ◽  
Antonello Scardicchio
Keyword(s):  
Finite Size ◽  
Finite Size Scaling ◽  
Many Body ◽  
One Dimensional ◽  
Size Scaling

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

Finite-size scaling studies of massive one-dimensional lattice models

2001 ◽  
Vol 64 (10) ◽  
Author(s):  
Liu Yichang ◽  
Jianhui Dai ◽  
Shaojin Qin ◽  
Lu Yu
Keyword(s):  
Finite Size ◽  
Lattice Models ◽  
Finite Size Scaling ◽  
Dimensional Lattice ◽  
One Dimensional ◽  
Size Scaling

scholarly journals Many-body localization in presence of cavity mediated long-range interactions

2019 ◽  
Vol 7 (1) ◽  
Author(s):  
Piotr Sierant ◽  
Krzysztof Biedroń ◽  
Giovanna Morigi ◽  
Jakub Zakrzewski
Keyword(s):  
Finite Size ◽  
Exact Diagonalization ◽  
Quantum Gases ◽  
Time Dependent ◽  
Finite Size Scaling ◽  
Many Body ◽  
Initial State ◽  
Optical Cavities ◽  
One Dimensional ◽  
Long Range Interactions

We show that a one-dimensional Hubbard model with all-to-all coupling may exhibit many-body localization in the presence of local disorder. We numerically identify the parameter space where many-body localization occurs using exact diagonalization and finite-size scaling. The time evolution from a random initial state exhibits features consistent with the localization picture. The dynamics can be observed with quantum gases in optical cavities, localization can be revealed through the time-dependent dynamics of the light emitted by the resonator.

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