Entanglement in noncritical inhomogeneous quantum chains

Depletion in fermionic chains with inhomogeneous hoppings

“…In it we have shown the entanglement entropies (EE) of blocks A = [1, • • • , ] as a function of for both states in the rainbow case, defined as S( ) = −Tr A (ρ A log ρ A ) with ρ A = Tr Ā| |. As it was shown in [13], the EE of our states is approximately equal to the EE of blocks of a shorter system bounded by the turning points at half-filling [9,22]. FIG.…”

“…In that case, the energy cost of introducing extra particles becomes zero. This new system can be set in any different static 1+1D metric by introducing an appropriate Weyl factor, thus yielding the compensating potential system [9,22]. Now we may ask a complementary question.…”

Entanglement links and the quasiparticle picture

“…Our examples include dimerized states, see Fig. 2 (a), the rainbow chain of N sites [17][18][19][20][21][22][23][24][25][26], whose GS can be described as a concentric set of valence bond states between site i and site N + 1 − i, see Fig. 2 (b), or the bridge state that we introduce here, which presents bonds between sites i and i + N/2, with i ∈ {1, • • • , N/2}, see Fig.…”

“…EE of the rainbow state.-Let us present our extended quasi-particle picture (EQPP), which is also valid for initial states with long-range entanglement. As a first example we will consider the GS of the free-fermionic rainbow chain [17][18][19][20][21][22][23][24][25][26], defined by Hamiltonian (11) using…”

Ergotropy and entanglement in critical spin chains

“…Notice that the EH allows us to describe the entanglement structure of complex quantum states in thermal terms. Both the EH and its eigenvalues, which define the entanglement spectrum (ES) [17], have provided invaluable insight to characterize the entanglement structure of the low energy states of quantum manybody systems [18][19][20][21][22][23][24][25][26], in some cases exploiting their conformal invariance [27][28][29].…”