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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Quantum modulation: first-principle derivations of
the equations of generalised hydrodynamics in the
Lieb-Liniger quantum gas. - Benjamin Doyon (King'
s College London)
DTSTART;TZID=Europe/London:20221020T103000
DTEND;TZID=Europe/London:20221020T110000
UID:TALK182576AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/182576
DESCRIPTION:Hydrodynamics is a powerful framework for large-wa
velength phenomena in many-body systems. At its ba
sis is the assumption that one can reduce the dyna
mics to that of long-lived\, effective degrees of
freedom obtained from the available conservation l
aws. This fundamental idea\, applied traditionally
on systems with few conservation laws\, can be ex
tended to integrable systems\, which admit an exte
nsive number. The ensuing ``generalised hydrodynam
ics&rdquo\; (GHD) is a universal theory for the la
rge-scale dynamics in integrable classical and qua
ntum chains\, gases and fields. In particular\, th
e GHD equations are equivalent to the kinetic equa
tions found\, much earlier\, in soliton gases. Unt
il now\, in quantum interacting systems the only d
erivation available is based on the assumption of
local generalised thermalisation\, with exact expr
essions of average currents playing a crucial role
. By contrast\, in soliton gases\, the kinetic equ
ations can be derived from an application of Whith
am modulation theory. Are there first-principle de
rivations\, or a ``quantum modulation theory"\, fr
om which the GHD equations can be obtained without
the assumption of local generalised thermalisatio
n? I will propose such derivations\, in particular
using what can be seen as a simple version of qua
ntum modulation\, in a paradigmatic model of quant
um integrability\, the Lieb-Liniger gas.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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