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Gaussian time-dependent variational principle for the finite-temperature anharmonic lattice dynamics

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Title
Gaussian time-dependent variational principle for the finite-temperature anharmonic lattice dynamics
Author(s)
Lihm, Jae-Mo; Cheol-Hwan Park
Publication Date
2021-09
Journal
Physical Review Research, v.3, no.3
Publisher
American Physical Society
Abstract
© 2021 Published by the American Physical SocietyThe 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 therein 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 the 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.
URI
https://pr.ibs.re.kr/handle/8788114/10641
DOI
10.1103/PhysRevResearch.3.L032017
ISSN
2643-1564
Appears in Collections:
Center for Correlated Electron Systems(강상관계 물질 연구단) > 1. Journal Papers (저널논문)
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