Disorder(Strength(δ2( Energy( Density( Ext,(( Para( ( MBL( Para
... Hamiltonian. We emphasize that unlike standard discussions of quantum phase transitions, our discussion is not about ground states or low-lying excited states, but is about highly-excited eigenstates at energies that would correspond to nonzero (even infinite) temperature if the system could thermal ...
... Hamiltonian. We emphasize that unlike standard discussions of quantum phase transitions, our discussion is not about ground states or low-lying excited states, but is about highly-excited eigenstates at energies that would correspond to nonzero (even infinite) temperature if the system could thermal ...
Inferring latent structures via information inequalities
... deterministic functions assigning the values of X and Y [22, 5, 25]. Thus, the region of compatibility associated with p(x, y|z) is a polytope and all the probability inequalities characterizing it can in principle be determined using linear programming. However, as the number of values taken by the ...
... deterministic functions assigning the values of X and Y [22, 5, 25]. Thus, the region of compatibility associated with p(x, y|z) is a polytope and all the probability inequalities characterizing it can in principle be determined using linear programming. However, as the number of values taken by the ...
Introduction to the Bethe Ansatz I
... effect of the magnon interaction on these states is visualized in Fig. 3. It shows all N (N − 1)/2 − N + 3 class C1 and class C2 states for N = 32 in comparison with the N (N + 1)/2 two-magnon superpositions, where the momenta kj , j = 1, 2 in (12) are replaced by one-magnon wave numbers kj = 2πmj / ...
... effect of the magnon interaction on these states is visualized in Fig. 3. It shows all N (N − 1)/2 − N + 3 class C1 and class C2 states for N = 32 in comparison with the N (N + 1)/2 two-magnon superpositions, where the momenta kj , j = 1, 2 in (12) are replaced by one-magnon wave numbers kj = 2πmj / ...
