Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gaussian time-dependent variational principle for the finite-temperature
  anharmonic lattice dynamics   The anharmonic lattice is a representative example of an interacting bosonic
many-body system. The self-consistent harmonic approximation has proven
versatile for the study of the equilibrium properties of anharmonic lattices.
However, the study of dynamical properties therewithin resorts to an ansatz,
whose validity has not yet been theoretically proven. Here, we apply the
time-dependent variational principle, a recently emerging useful tool for
studying the dynamic properties of interacting many-body systems, to the
anharmonic lattice Hamiltonian at finite temperature using the Gaussian states
as the variational manifold. We derive an analytic formula for the
position-position correlation function and the phonon self-energy, proving the
dynamical ansatz of the self-consistent harmonic approximation. We establish a
fruitful connection between time-dependent variational principle and the
anharmonic lattice Hamiltonian, providing insights in both fields. Our work
expands the range of applicability of time-dependent variational principle to
first-principles lattice Hamiltonians and lays the groundwork for the study of
dynamical properties of the anharmonic lattice using a fully variational
framework.

15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys