The five lectures introduce to the description of entanglement in many-particle systems and
review the ground-state entanglement features of standard solvable lattice models. This is …

We introduce density matrix embedding theory (DMET), a quantum embedding theory for
computing frequency-independent quantities, such as ground-state properties, of infinite …

We show that entanglement entropy of free fermions scales faster than area law, as opposed
to the scaling L d-1 for the harmonic lattice, for example. We also suggest and provide …

There is no unique and widely accepted definition of the complexity measure (CM) of a
many-fermion wave function in the presence of interactions. The simplest many-fermion …

We study entanglement properties of free-fermion systems without Hermiticity by use of
correlation matrix and overlap matrix in the biorthogonal basis. We find at a critical point in …

We study three-dimensional insulators with inversion symmetry in which other point group
symmetries, such as time reversal, are generically absent. We find that certain information …

In this work, we report, for the first time, an implementation of fermionic auxiliary-field
quantum Monte Carlo (AFQMC) using matrix product state (MPS) trial wavefunctions …

Topological band insulators are usually characterized by symmetry-protected surface modes
or quantized linear-response functions (like Hall conductance). Here we present a way to …

We revisit the computation of particle number fluctuations and the Rényi entanglement
entropy of a two-dimensional Fermi gas using multidimensional bosonization. In particular …

We study the full counting statistics (FCS) and symmetry-resolved entanglement entropies of
integer and fractional quantum Hall states. For the filled lowest Landau level of spin …