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SUMMARY:William Witczak-Krempa (Université de Montréal)
DTSTART;VALUE=DATE-TIME:20200930T193000Z
DTEND;VALUE=DATE-TIME:20200930T203000Z
DTSTAMP;VALUE=DATE-TIME:20230926T002016Z
UID:quanTASeminar/1
DESCRIPTION:Title: Conformal field theories and quantum phase transitions: an entanglem
ent perspective\nby William Witczak-Krempa (Université de Montréal)
as part of quanTA Seminar\n\n\nAbstract\nQuantum phase transitions occur w
hen a quantum system undergoes a sharp change in its ground state\, e.g. b
etween a ferro- and para-magnet. I will present a remarkable set of transi
tions\, called quantum critical\, that are described by conformal field th
eories (CFTs). I will focus on 2 and 3 spatial dimensions\, where the conf
ormal symmetry is powerful yet less constraining than in 1 dimension. We w
ill probe these scale-invariant theories via the structure of their quantu
m entanglement. The methods will include large-N expansions\, the AdS/CFT
duality from string theory\, and large-scale numerical simulations. Finall
y\, we’ll see that certain quantum Hall states\, which are topological i
n nature\, possess very similar entanglement properties. This hints at bro
ader principles that relate very different quantum states.\n
LOCATION:https://researchseminars.org/talk/quanTASeminar/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Monica Jinwoo Kang (Caltech)
DTSTART;VALUE=DATE-TIME:20201104T213000Z
DTEND;VALUE=DATE-TIME:20201104T223000Z
DTSTAMP;VALUE=DATE-TIME:20230926T002016Z
UID:quanTASeminar/2
DESCRIPTION:Title: The infinite HaPPY code\nby Monica Jinwoo Kang (Caltech) as part
of quanTA Seminar\n\n\nAbstract\nI will construct an infinite-dimensional
analog of the HaPPY code as a growing series of stabilizer codes defined
respective to their Hilbert spaces. These Hilbert spaces are related by is
ometries that will be defined during this talk. I will analyze its system
in various aspects and discuss its implications in AdS/CFT. Our result hin
ts that the relevance of quantum error correction in quantum gravity may n
ot be limited to the CFT context.\n
LOCATION:https://researchseminars.org/talk/quanTASeminar/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Anton Kapustin (Caltech)
DTSTART;VALUE=DATE-TIME:20201209T203000Z
DTEND;VALUE=DATE-TIME:20201209T213000Z
DTSTAMP;VALUE=DATE-TIME:20230926T002016Z
UID:quanTASeminar/3
DESCRIPTION:Title: The topology and geometry of the space of gapped lattice systems
\nby Anton Kapustin (Caltech) as part of quanTA Seminar\n\n\nAbstract\nRec
ently there has been a lot of progress in classifying phases of gapped qua
ntum many-body systems. From the mathematical viewpoint\, a phase of a qua
ntum system is a connected component of the “space” of gapped quantum
systems\, and it is natural to study the topology of this space. I will ex
plain how to probe it using generalizations of the Berry curvature. I will
focus on the case of lattice systems where all constructions can be made
rigorous. Coarse geometry plays an important role in these constructions.\
n
LOCATION:https://researchseminars.org/talk/quanTASeminar/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Karen Yeats (University of Waterloo)
DTSTART;VALUE=DATE-TIME:20210122T213000Z
DTEND;VALUE=DATE-TIME:20210122T223000Z
DTSTAMP;VALUE=DATE-TIME:20230926T002016Z
UID:quanTASeminar/4
DESCRIPTION:Title: Combinatorial structures in perturbative quantum field theory\nb
y Karen Yeats (University of Waterloo) as part of quanTA Seminar\n\n\nAbst
ract\nI will give an overview of a few places where combinatorial structur
es have an interesting role to play in quantum field theory and which I ha
ve been involved in to varying degrees\, from the Connes-Kreimer Hopf alge
bra and other renormalization Hopf algebras\, to the combinatorics of Dyso
n-Schwinger equations and the graph theory of Feynman integrals.\n
LOCATION:https://researchseminars.org/talk/quanTASeminar/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Igor Boettcher (University of Alberta)
DTSTART;VALUE=DATE-TIME:20210317T203000Z
DTEND;VALUE=DATE-TIME:20210317T213000Z
DTSTAMP;VALUE=DATE-TIME:20230926T002016Z
UID:quanTASeminar/5
DESCRIPTION:Title: Crystallography of hyperbolic lattices: from children's drawings to
Fuchsian groups\nby Igor Boettcher (University of Alberta) as part of
quanTA Seminar\n\n\nAbstract\nHyperbolic lattices are tessellations of the
hyperbolic plane using\, for instance\, heptagons or octagons. They are r
elevant for quantum error correcting codes and experimental simulations of
quantum physics in curved space. Underneath their perplexing beauty lies
a hidden and\, perhaps\, unexpected periodicity that allows us to identify
the unit cell and Bravais lattice for a given hyperbolic lattice. This pa
ves the way for applying powerful concepts from solid state physics and\,
potentially\, finding a generalization of Bloch's theorem to hyperbolic la
ttices. In my talk\, I will explain some of the mathematics underlying thi
s hyperbolic crystallography.\n
LOCATION:https://researchseminars.org/talk/quanTASeminar/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Maria Emelianenko (George Mason University)
DTSTART;VALUE=DATE-TIME:20210414T203000Z
DTEND;VALUE=DATE-TIME:20210414T213000Z
DTSTAMP;VALUE=DATE-TIME:20230926T002016Z
UID:quanTASeminar/6
DESCRIPTION:Title: Random walks and graphs in materials\, biology\, and quantum informa
tion science\nby Maria Emelianenko (George Mason University) as part o
f quanTA Seminar\n\n\nAbstract\nWhat does mathematics\, materials science\
, biology\, and quantum information science have in common? It turns out\,
there are many connections worth exploring. I this talk\, I will focus on
graphs and random walks\, starting from the classical mathematical constr
ucts and moving on to quantum descriptions and applications. We will see h
ow the notions of graph entropy and KL divergence appear in the context of
characterizing polycrystalline material microstructures and predicting th
eir performance under mechanical deformation\, while also allowing to meas
ure adaptation in cancer networks and entanglement of quantum states. We w
ill discover unified conditions under which master equations for classical
random walks exhibit nonlocal and non-diffusive behavior and see how quan
tum walks allow to realize the coveted exponential speedup in quantum Hami
ltonian simulations. Recent classical and quantum breakthroughs and open q
uestions will be discussed.\n
LOCATION:https://researchseminars.org/talk/quanTASeminar/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jonas Fransson (Uppsala University)
DTSTART;VALUE=DATE-TIME:20220927T213000Z
DTEND;VALUE=DATE-TIME:20220927T223000Z
DTSTAMP;VALUE=DATE-TIME:20230926T002016Z
UID:quanTASeminar/7
DESCRIPTION:Title: A correlated view of chiral-induced spin selectivity\nby Jonas F
ransson (Uppsala University) as part of quanTA Seminar\n\nLecture held in
PHYS 103.\n\nAbstract\nChiral-induced spin selectivity is an intriguing ph
enomenon that\, to our knowledge\, rests on a foundation of structural chi
rality\, spin-orbit interactions\, and strongly nonequilibrium conditions.
The effect is a measure of the response to changes in the magnetic enviro
nment coupled to the active region\, and the phenomenology refers back to
the experimental observations of substantial changes in the charge current
amplitude through chiral molecules upon changes in the external magnetic
conditions. Chiral-induced spin selectivity has been shown to not be limit
ed to multistranded helical structures\, such as double-stranded DNA molec
ules and bacteriorhodopsin\, but has also been observed in\, for example\,
various types of peptides and polyalanines and\, recently\, also in helic
ene.\n\nIn order to depart from the generic single electron\, or\, non-int
eracting models that have\, quite unsuccessfully\, been used in attempts t
o describe the chiral-induced spin selectivity effect\, it is proposes to
include many-body effects\, arising from\, e.g.\, electron-electron or ele
ctron-vibron interactions. In cooperation with spin-orbit interactions\, t
he many-body interactions generate exchange splitting between the spin cha
nnels which is viable for the chiral-induced spin selectivity phenomenon.
By constructing models comprising either electron-electron or electron-vib
ron interactions\, it can be demonstrated that the chiral-induced spin sel
ectivity effect increases by several orders of magnitude compared to the r
esults from any non-interacting description. The phenomenology of the chir
al-induced spin selectivity effect indicates that charge transfer within t
he chiral molecule is accompanied by the emergence of intra-molecular spin
-polarization.\n\n \n\n \n\nSome relevant references:\n\n \n\nJ. Fransson\
, Chirality induced spin-selectivity: The role of electron correlation: J
Phys Chem Lett\, 10\, 7126 (2019).\n\nJ. Fransson\, Vibrational origin of
exchange splitting and chiral-induced spin selectivity: Phys Rev B\, 102\,
235416 (2020).\n\nJ. Fransson\, Charge Redistribution and Spin Polarizati
on Driven by Correlation Induced Electron Exchange in Chiral Molecules: Na
no Lett\, 21\, 3026 (2021).\n\nJ. Fransson\, Charge and Spin Dynamics and
Enantioselectivity in Chiral Molecules: J Phys Chem Lett\, 13\, 808 (2022)
.\n\nIn-person only on University of Saskatchewan campus in room PHYS 103.
\n
LOCATION:https://researchseminars.org/talk/quanTASeminar/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Gordon Sarty (University of Saskatchewan)
DTSTART;VALUE=DATE-TIME:20230124T213000Z
DTEND;VALUE=DATE-TIME:20230124T223000Z
DTSTAMP;VALUE=DATE-TIME:20230926T002016Z
UID:quanTASeminar/8
DESCRIPTION:Title: MRI as an example of quantum engineering\nby Gordon Sarty (Unive
rsity of Saskatchewan) as part of quanTA Seminar\n\nLecture held in PHYSIC
S 103.\n\nAbstract\nThe term quantum engineering generally focuses around
the design of quantum computers\, but MRI is an excellent example of quant
um mechanics applied to engineering. It works by exciting proton spins in
water molecules in a patient's body\, spatially encoding them by phase acc
ording to systematic applications of RF pulses and magnetic field configur
ations. The engineering needed is both old and new. On one hand\, an appli
cation of simple Ham radio technology is used to make the small MRI protot
ypes now in my lab. This direction will hopefully lead to a proliferation
of MRIs to nearly every medical clinic situation around the world. On the
other hand\, the use of new quantum materials - which is definitely not Ha
m radio technology - promises MRI designs that are ever smaller\, conceptu
ally different in function and more sensitive. In this lecture\, I will ta
lk about both the small simple MRIs that I am building now and about the w
ork we have been doing with diamonds as a quantum material to serve as ver
y sensitive magnetometers for application to future MRI designs.\n\nHybrid
delivery (in person on University of Saskatchewan campus and via Zoom).\n
LOCATION:https://researchseminars.org/talk/quanTASeminar/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Artur Sowa (University of Saskatchewan)
DTSTART;VALUE=DATE-TIME:20220125T213000Z
DTEND;VALUE=DATE-TIME:20220125T223000Z
DTSTAMP;VALUE=DATE-TIME:20230926T002016Z
UID:quanTASeminar/9
DESCRIPTION:Title: New application of harmonic analysis to quantum theory and engineeri
ng\nby Artur Sowa (University of Saskatchewan) as part of quanTA Semin
ar\n\n\nAbstract\nHarmonic analysis has played a foundational role in quan
tum theory all throughout its historical development.\nTo recall a few wel
l-known examples\, it is expressly present in the Heisenberg uncertainty p
rinciple (1920s)\; it\nwas fundamental in solving the quantum spin chain (
1970s)\; it now helps to gain insights into the problem of\nquantumness in
relation to quantum computing (2010s). While sourcing some of its methods
from the repertoire\nof harmonic analysis\, Physics has always generously
paid back\, e.g.\, the coherent state theory stimulated the\ndevelopment
of wavelet techniques and of the linear canonical transform. In this talk
I will highlight some\nlesser-known recent examples of quantum application
s of harmonic analysis. In particular\, I will demonstrate\nhow the Haar t
ransform (i.e.\, a special type of wavelet transform) helps to analyze the
dynamics of an array of\nqubits. I will also highlight applications of th
e generalized Fourier transform on the multiplicative group of\npositive r
ationals (i.e.\, the group furnished by the multiplication of common fract
ions) to the analysis of arrays\nof bosons. The ultimate purpose of this w
ork is to help countervail the so-called “curse of dimensionality”\nwh
ich arises in quantum engineering and other aspects of quantum theory and
modelling. The outcomes that I\nwill relay serve as good examples of value
being added (and multiplied) when mathematicians and physicists\nexchange
ideas. The tools that were inspired by these collaborative efforts help t
ackle more general problems of\noperator analysis. They also highlight som
e mesmerizing new connections between quantum theory and the\nanalytic num
ber theory as well as fractals.\n
LOCATION:https://researchseminars.org/talk/quanTASeminar/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Steven Rayan (University of Saskatchewan)
DTSTART;VALUE=DATE-TIME:20220215T213000Z
DTEND;VALUE=DATE-TIME:20220215T223000Z
DTSTAMP;VALUE=DATE-TIME:20230926T002016Z
UID:quanTASeminar/10
DESCRIPTION:Title: New models of quantum matter inspired by geometry\nby Steven Ra
yan (University of Saskatchewan) as part of quanTA Seminar\n\nLecture held
in PHYS 103.\n\nAbstract\nThe exciting and rapidly-growing field of topol
ogical materials has brought with it unexpected new connections\nbetween p
hysics and mathematics. As the name suggests\, topology has played a signi
ficant role in\nunderstanding and classifying these materials. In this tal
k\, I will offer a brief look at another emerging chapter\nin this story i
n which exotic geometries — of the kind found in the woodcuts of M.C. Es
cher! — anticipate new\nmodels of two-dimensional quantum matter associa
ted with hyperbolic lattices.\n\nIn-person only on University of Saskatche
wan campus in room PHYS 103.\n
LOCATION:https://researchseminars.org/talk/quanTASeminar/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Matthew Rupert (University of Saskatchewan)
DTSTART;VALUE=DATE-TIME:20230306T220000Z
DTEND;VALUE=DATE-TIME:20230306T233000Z
DTSTAMP;VALUE=DATE-TIME:20230926T002016Z
UID:quanTASeminar/11
DESCRIPTION:Title: Recent progress on the Kazhdan-Lusztig correspondence for vertex op
erator algebras and quantum groups\nby Matthew Rupert (University of S
askatchewan) as part of quanTA Seminar\n\nLecture held in PHYSICS 126.\n\n
Abstract\nVertex operator algebras are the symmetry algebras of two dimens
ional conformal field theory. In a famous series of papers\, Kazhdan and L
usztig proved an equivalence between particular semi-simple categories of
modules over affine Lie algebras and quantum groups\, the former of which
can also be realized as modules over a corresponding vertex operator algeb
ra. Such equivalences between representation categories of vertex operator
algebras and quantum groups are now broadly referred to as the Kazhdan-Lu
sztig correspondence.\n\nThere has been substantial research interest over
the last two decades in understanding the Kazhdan-Lusztig correspondence
for vertex operator algebras with non semi-simple representation theory. I
n this talk I will present recent categorical results which aid in proving
such equivalences with applications to the singlet vertex algebra in part
icular. Based on joint work with Thomas Creutzig and Simon Lentner.\n\nTal
k is hybrid with in-person audience in room PHYSICS 126 on the University
of Saskatchewan campus with a simultaneous virtual stream on Zoom.\n
LOCATION:https://researchseminars.org/talk/quanTASeminar/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Thomas Chen (UT Austin)
DTSTART;VALUE=DATE-TIME:20230310T203000Z
DTEND;VALUE=DATE-TIME:20230310T213000Z
DTSTAMP;VALUE=DATE-TIME:20230926T002016Z
UID:quanTASeminar/12
DESCRIPTION:Title: On the emergence of Boltzmann equations from quantum dynamics\n
by Thomas Chen (UT Austin) as part of quanTA Seminar\n\n\nAbstract\nThe ma
thematically rigorous derivation of nonlinear Boltzmann equations from fir
st principles in interacting physical systems is an extremely active resea
rch area in Analysis\, Mathematical Physics\, and Applied Mathematics. In
classical physical systems\, rigorous results of this type have been obtai
ned for some models. In the quantum case on the other hand\, the problem h
as essentially remained open. In this talk\, I will explain how a cubic qu
antum Boltzmann equation arises within the fluctuation dynamics around a B
ose-Einstein condensate\, within the quantum field theoretic description o
f an interacting Boson gas. This is based on joint work with Michael Hott.
\n\nVirtual talk held in conjunction with the Mathematics & Statistics Col
loquium at the University of Saskatchewan.\n
LOCATION:https://researchseminars.org/talk/quanTASeminar/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sean Lawton (George Mason University)
DTSTART;VALUE=DATE-TIME:20230712T203000Z
DTEND;VALUE=DATE-TIME:20230712T214500Z
DTSTAMP;VALUE=DATE-TIME:20230926T002016Z
UID:quanTASeminar/13
DESCRIPTION:Title: What is a character variety?\nby Sean Lawton (George Mason Univ
ersity) as part of quanTA Seminar\n\nLecture held in St. Thomas More 1002.
\n\nAbstract\nCharacter varieties are topological spaces that are a playgr
ound for intermingling areas of mathematics and science. In this talk\, I
will give a definition that unifies many approaches to them\, discuss are
as of study where they naturally arise\, and give examples requiring littl
e more than linear algebra to understand. There will be pictures.\n\nIn-p
erson only on University of Saskatchewan campus in room St. Thomas More 10
02.\n
LOCATION:https://researchseminars.org/talk/quanTASeminar/13/
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