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SUMMARY:Subir Sachdev (Harvard University)
DTSTART:20210120T140000Z
DTEND:20210120T145000Z
DTSTAMP:20260415T220342Z
UID:Fry_Conference_Series/1
DESCRIPTION:Title: A simple model of entangled qubits: how it describes superco
nductors and black holes\nby Subir Sachdev (Harvard University) as par
t of Challenges and Recent Advances in Mathematical Physics 2021\n\n\nAbst
ract\nLong-range\, multi-particle quantum entanglement plays a fundamental
role in our understanding of many modern quantum materials\, including th
e copper-based high temperature superconductors. Hawking’s quantum infor
mation puzzle in the quantum theory of black holes also involves non-local
entanglement. I will describe a simple model of randomly entangled qubits
which has shed light on these distinct fields of physics.\n
LOCATION:https://researchseminars.org/talk/Fry_Conference_Series/1/
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SUMMARY:Harry Buhrman (CWI and QUSOFT\, Amsterdam)
DTSTART:20210120T150000Z
DTEND:20210120T155000Z
DTSTAMP:20260415T220342Z
UID:Fry_Conference_Series/2
DESCRIPTION:Title: Doubling down: from classical to quantum designs\nby Har
ry Buhrman (CWI and QUSOFT\, Amsterdam) as part of Challenges and Recent A
dvances in Mathematical Physics 2021\n\n\nAbstract\nA combinatorial design
is a collection of subsets with a certain structure\, the most prominent
examples being finite projective and affine planes that provide discrete m
odels for projective and affine geometry. We establish a connection betwee
n affine planes and their dual on one hand and quantum designs known as MU
Bs (mutually unbiased bases) and SIC (symmetric\, informationally complete
) POVMs on the other hand. This connection is based on a "doubling down" o
peration that converts each subset to a pair of quantum states under a uni
tary basis change. This talk is based on preliminary results together with
Maris Ozols.\n
LOCATION:https://researchseminars.org/talk/Fry_Conference_Series/2/
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SUMMARY:Alexander Bobenko (Technische Unversität Berlin)
DTSTART:20210120T170000Z
DTEND:20210120T180000Z
DTSTAMP:20260415T220342Z
UID:Fry_Conference_Series/3
DESCRIPTION:Title: Public lecture: The Discrete Charm of Geometry\nby Alexa
nder Bobenko (Technische Unversität Berlin) as part of Challenges and Rec
ent Advances in Mathematical Physics 2021\n\n\nAbstract\nDiscrete geometri
c structures (points\, lines\, triangles\, rectangles\, polygons\, etc.) a
re ubiquitous in everyday life\, ranging from visible sophisticated freefo
rm structures in contemporary architecture to hidden geometric algorithms
in computer generated imagery. On the other hand\, discrete geometric stru
ctures have also proven to be very useful in modeling and approximating co
ntinuous shapes (e.g. curves and surfaces) and real processes. This lectur
e provides a non-technical and pictorial introduction to the foundations o
f a new beautiful branch of mathematics which underpins these real world s
ituations. We will also show excerpts from our new computer-animated movie
entitled "Koebe Polyhedra and Minimal Surfaces".\n
LOCATION:https://researchseminars.org/talk/Fry_Conference_Series/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sylvia Serfaty (New York University)
DTSTART:20210121T140000Z
DTEND:20210121T145000Z
DTSTAMP:20260415T220342Z
UID:Fry_Conference_Series/4
DESCRIPTION:Title: Microscopic description of Coulomb gases\nby Sylvia Serf
aty (New York University) as part of Challenges and Recent Advances in Mat
hematical Physics 2021\n\n\nAbstract\nWe are interested in the statistical
mechanics of systems of points with Coulomb\, logarithmic or more general
ly Riesz interactions (i.e. inverse powers of the distance)\, at arbitrary
temperature. A particular instance is the famous Ginibre ensemble in ran
dom matrices.\n\nAfter reviewing the motivations\, we will take a point of
view based on the detailed expansion of the interaction energy to describ
e the microscopic behavior of the systems. This allows to observe the eff
ect of the temperature as it gets very large or very small\, and to conne
ct with crystallization questions.\n\nThis is based on works with Thomas L
eblé and Scott Armstrong (themselves based on prior works with Etienne S
andier\, Nicolas Rougerie and Mircea Petrache).\n
LOCATION:https://researchseminars.org/talk/Fry_Conference_Series/4/
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SUMMARY:Alexander Bufetov (Aix-Marseille Université)
DTSTART:20210121T150000Z
DTEND:20210121T155000Z
DTSTAMP:20260415T220342Z
UID:Fry_Conference_Series/5
DESCRIPTION:Title: CANCELLED: The sine-process has excess one\nby Alexander
Bufetov (Aix-Marseille Université) as part of Challenges and Recent Adva
nces in Mathematical Physics 2021\n\n\nAbstract\nUnfortunately due to unfo
reseen circumstances\, Bufetov's talk has been cancelled. Please note the
other session times will remain the same.\n
LOCATION:https://researchseminars.org/talk/Fry_Conference_Series/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Eva-Maria Graefe (Imperial College London)
DTSTART:20210121T163000Z
DTEND:20210121T172000Z
DTSTAMP:20260415T220342Z
UID:Fry_Conference_Series/6
DESCRIPTION:Title: Non-Hermitian PT-symmetric quantum chaos - A PT-symmetric ki
cked top\nby Eva-Maria Graefe (Imperial College London) as part of Cha
llenges and Recent Advances in Mathematical Physics 2021\n\n\nAbstract\nWh
ile traditional quantum mechanics focusses on systems conserving energy an
d probability\, described by Hermitian Hamiltonians\, in recent years ther
e has been ever growing interest in the use of non-Hermitian Hamiltonians.
These can effectively describe loss and gain in a quantum system. In part
icular systems with a certain balance of loss and gain\, so-called PT-symm
etric systems\, have attracted considerable attention. The realisation of
PT-symmetric quantum dynamics in optical systems has opened up a whole new
field of investigations. \n\nWhat has been little investigated in these s
ystems\, hitherto\, however\, is their quantum classical correspondence\,
and in particular the emergence of chaos. This is about to change.\n\nIn t
his talk I will give a brief introduction to / motivation of PT-symmetric
quantum systems on the one hand and prominent features of quantum chaos on
the other hand. I will then introduce a toy model for the investigation o
f the interplay of chaos and PT-symmetry: A non-Hermitian PT-symmetric ver
sion of the famous kicked top.\n
LOCATION:https://researchseminars.org/talk/Fry_Conference_Series/6/
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BEGIN:VEVENT
SUMMARY:Tom Claeys (UC Louvain)
DTSTART:20210122T140000Z
DTEND:20210122T145000Z
DTSTAMP:20260415T220342Z
UID:Fry_Conference_Series/7
DESCRIPTION:Title: From random matrices to random interface growth via the KdV
equation\nby Tom Claeys (UC Louvain) as part of Challenges and Recent
Advances in Mathematical Physics 2021\n\n\nAbstract\nFredholm determinants
describe some of the most important distributions of random matrix eigenv
alues and arise also in other models in integrable probability. Deformed A
iry kernel Fredholm determinants for instance encode information about fin
ite temperature free fermions and about random interface growth modeled by
the Kardar-Parisi-Zhang (KPZ) equation. These determinants give rise to a
family of unbounded solutions to the Korteweg-de Vries (KdV) equation and
to an integro-differential Painlev\\'e equation. The initial value proble
m for KdV reveals tail asymptotics for KPZ and gap asymptotics for finite
temperature free fermions. I will explain these connections and I will exp
lain how asymptotic questions related to Fredholm determinants can be addr
essed.\n
LOCATION:https://researchseminars.org/talk/Fry_Conference_Series/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Margherita Disertori (University of Bonn)
DTSTART:20210122T150000Z
DTEND:20210122T155000Z
DTSTAMP:20260415T220342Z
UID:Fry_Conference_Series/8
DESCRIPTION:Title: A supersymmetric transfer operator in 1D random band matrice
s\nby Margherita Disertori (University of Bonn) as part of Challenges
and Recent Advances in Mathematical Physics 2021\n\n\nAbstract\nTransfer m
atrix approach is a powerful tool to study one dimensional or quasi 1d sta
tistical mechanical models. Transfer operator kernels arising in the con
text of quantum diffusion and the supersymmetric approach display bosonic
and fermionic components. For such kernels\, the presence of fermion-boson
symmetries allows to drastically simplify the problem. I will review the
method and give some results for the case of random band matrices.\n\nThis
is joint work with Sasha Sodin and Martin Lohmann.\n
LOCATION:https://researchseminars.org/talk/Fry_Conference_Series/8/
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