Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cluster expansion for ground states of local Hamiltonians   A central problem in many-body quantum physics is the determination of the
ground state of a thermodynamically large physical system. We construct a
cluster expansion for ground states of local Hamiltonians, which naturally
incorporates physical requirements inherited by locality as conditions on its
cluster amplitudes. Applying a diagrammatic technique we derive the relation of
these amplitudes to thermodynamic quantities and local observables. Moreover we
derive a set of functional equations that determine the cluster amplitudes for
a general Hamiltonian, verify the consistency with perturbation theory and
discuss non-perturbative approaches. Lastly we verify the persistence of
locality features of the cluster expansion under unitary evolution with a local
Hamiltonian and provide applications to out-of-equilibrium problems: a
simplified proof of equilibration to the GGE and a cumulant expansion for the
statistics of work, for an interacting-to-free quench.

29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int