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Article overview
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Trace formula for spin chains | | Daniel Waltner
; Petr Braun
; Maram Akila
; Thomas Guhr
; | | Date: |
5 Sep 2016 | | Abstract: | While detailed information about the semiclassics for single-particle systems
is available, much less is known about the connection between quantum and
classical dynamics for many-body systems. As an example, we focus on spin
chains which are of considerable conceptual and practical importance. We derive
a trace formula for coupled spin $j$ particles which relates the quantum energy
levels to the classical dynamics. Our derivation is valid in the limit
$j
ightarrowinfty$ with $jhbar={
m const.}$ and applies to time-continuous
as well as to periodically driven dynamics. We provide a simple explanation why
the Solari-Kochetov phase can be omitted if the correct classical Hamiltonian
is chosen. | | Source: | arXiv, 1609.1191 | | Services: | Forum | Review | PDF | Favorites | |
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