scholarly journals Many-body localization transition in a lattice model of interacting fermions: Statistics of renormalized hoppings in configuration space

2010 ◽  
Vol 81 (13) ◽  
Author(s):  
Cécile Monthus ◽  
Thomas Garel
2015 ◽  
Vol 92 (21) ◽  
Author(s):  
Xiao Chen ◽  
Xiongjie Yu ◽  
Gil Young Cho ◽  
Bryan K. Clark ◽  
Eduardo Fradkin

2018 ◽  
Vol 97 (20) ◽  
Author(s):  
Johnnie Gray ◽  
Sougato Bose ◽  
Abolfazl Bayat

Author(s):  
Alisa Bokulich

Traditionally \1 is used to stand for both the mathematical wavefunction (the representation) and the quantum state (thing in the world). This elision has been elevated to a metaphysical thesis by advocates of wavefunction realism. The aim of Chapter 10 is to challenge the hegemony of the wavefunction by calling attention to a littleknown formulation of quantum theory that does not make use of the wavefunction in representing the quantum state. This approach, called Lagrangian quantum hydrodynamics (LQH), is a full alternative formulation, not an approximation scheme. A consideration of alternative formalisms is essential for any realist project that attempts to read the ontology of a theory off the mathematical formalism. The chapter shows that LQH falsifies the claim that one must represent the many-body quantum state as living in 3n-dimensional configuration space. When exploring quantum realism, regaining sight of the proverbial forest of quantum representations beyond the \1 is just the beginning.


2019 ◽  
Vol 99 (22) ◽  
Author(s):  
Sthitadhi Roy ◽  
David E. Logan ◽  
J. T. Chalker

2017 ◽  
Vol 529 (7) ◽  
pp. 1600350 ◽  
Author(s):  
David J. Luitz ◽  
Yevgeny Bar Lev

1998 ◽  
Vol 09 (08) ◽  
pp. 1221-1230 ◽  
Author(s):  
A. Masselot ◽  
B. Chopard

Cellular automata (CA) and lattice-Boltzmann (LB) models are two possible approaches to simulate fluid-like systems. CA models keep track of the many-body correlations and provide a description of the fluctuations. However, they lead to a noisy dynamics and impose strong restrictions on the possible viscosity values. On the other hand, LB models are numerically more efficient and offer much more flexibility to adjust the fluid parameters, but they neglect fluctuations. Here we discuss a multiparticle lattice model which reconciles both approaches. Our method is tested on Poiseuille flows and on the problem of ballistic annihilation in two dimensions for which the fluctuations are known to play an important role.


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