Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ab initio optimization principle for the ground states of
  translationally invariant strongly correlated quantum lattice models   In this work, a simple and fundamental numeric scheme dubbed as ab-initio
optimization principle (AOP) is proposed for the ground states of translational
invariant strongly-correlated quantum lattice models. The idea is to transform
a nondeterministic-polynomial-hard ground state simulation with infinite
degrees of freedom into a single optimization problem of a local function with
finite number of physical and ancillary degrees of freedom. This work
contributes mainly in the following aspects: 1) AOP provides a simple and
efficient scheme to simulate the ground state by solving a local optimization
problem. Its solution contains two kinds of boundary states, one of which play
the role of the entanglement bath that mimic the interactions between a
supercell and the infinite environment, and the other give the ground state in
a tensor network (TN) form. 2) In the sense of TN, a novel decomposition named
as tensor ring decomposition (TRD) is proposed to implement AOP. Instead of
following the contraction-truncation scheme used by many existing TN-based
algorithms, TRD solves the contraction of a uniform TN in an opposite clue by
encoding the contraction in a set of self-consistent equations that
automatically reconstruct the whole TN, making the simulation simple and
unified; 3) AOP inherits and develops the ideas of different well-established
methods, including the density matrix renormalization group (DMRG), infinite
time-evolving block decimation (iTEBD), network contractor dynamics, density
matrix embedding theory, and etc., providing a unified perspective that is
previously missing in this fields; 4) AOP as well as TRD gives novel
implications to existing TN-based algorithms: a modified iTEBD is suggested and
the 2D AOP is argued to be an intrinsic 2D extension of DMRG that is based on
infinite projected entangled pair state.

29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg