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BEGIN:VEVENT
SUMMARY:Javier Molina-Vilaplana (Polytechnic University of Cartagena)
DTSTART;VALUE=DATE-TIME:20200508T133000Z
DTEND;VALUE=DATE-TIME:20200508T143000Z
DTSTAMP;VALUE=DATE-TIME:20240329T020007Z
UID:HEP-TN/1
DESCRIPTION:Title: N
on-Gaussian entanglement renormalization for quantum fields\nby Javier
Molina-Vilaplana (Polytechnic University of Cartagena) as part of HEP-ten
sor network seminars\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/HEP-TN/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Luca Tagliacozzo (University of Barcelona)
DTSTART;VALUE=DATE-TIME:20200522T133000Z
DTEND;VALUE=DATE-TIME:20200522T143000Z
DTSTAMP;VALUE=DATE-TIME:20240329T020007Z
UID:HEP-TN/2
DESCRIPTION:Title: S
ignatures of universality out of equilibrium\nby Luca Tagliacozzo (Uni
versity of Barcelona) as part of HEP-tensor network seminars\n\nAbstract:
TBA\n
LOCATION:https://researchseminars.org/talk/HEP-TN/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Karel Van Acoleyen (University of Ghent)
DTSTART;VALUE=DATE-TIME:20200618T133000Z
DTEND;VALUE=DATE-TIME:20200618T143000Z
DTSTAMP;VALUE=DATE-TIME:20240329T020007Z
UID:HEP-TN/3
DESCRIPTION:Title: E
ntanglement compression in scale space: from MERA to MPOs\nby Karel Va
n Acoleyen (University of Ghent) as part of HEP-tensor network seminars\n\
nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/HEP-TN/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ananda Roy (Technical University of Munich)
DTSTART;VALUE=DATE-TIME:20200625T133000Z
DTEND;VALUE=DATE-TIME:20200625T143000Z
DTSTAMP;VALUE=DATE-TIME:20240329T020007Z
UID:HEP-TN/4
DESCRIPTION:Title: S
imulating Quantum Field Theories with Quantum Circuits\nby Ananda Roy
(Technical University of Munich) as part of HEP-tensor network seminars\n\
n\nAbstract\nInvestigation of strongly interacting quantum field theories
(QFTs) remains one of the outstanding challenges of modern physics. Quantu
m simulation has the potential to be a crucial technique towards solving t
his problem. By harnessing the power of quantum information processing\, q
uantum simulation can potentially perform tasks deemed intractable by the
classical information processing paradigm. In this talk\, I will show that
mesoscopic quantum electronic circuit lattices\, built with superconducti
ng capacitors and Josephson junctions\, can simulate certain bosonic QFTs
in 1+1 space-time dimensions. In contrast to conventional spin-chain latti
ce-regularizations\, quantum circuits faithfully capture the non-perturbat
ive properties of these QFTs and are experimentally-realizable with modern
-day\, superconducting circuit technology. I will begin with the free\, co
mpactified boson conformal field theory and analyze its entanglement Hamil
tonian for different boundary conditions using analytical and numerical (d
ensity matrix renormalization group) techniques. Subsequently\, I will des
cribe a quantum circuit lattice for an integrable deformation of the free
compactified boson QFT: the quantum sineGordon model. I will present analy
tical and numerical computations for the various thermodynamic properties
of this model.\n
LOCATION:https://researchseminars.org/talk/HEP-TN/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Philipp Hauke (Universty of Trento)
DTSTART;VALUE=DATE-TIME:20200710T133000Z
DTEND;VALUE=DATE-TIME:20200710T143000Z
DTSTAMP;VALUE=DATE-TIME:20240329T020007Z
UID:HEP-TN/5
DESCRIPTION:Title: Q
uantum simulating lattice gauge theories – How to make a quantum simulat
or obey Gauss’s law\nby Philipp Hauke (Universty of Trento) as part
of HEP-tensor network seminars\n\n\nAbstract\nThe difficulty of tackling t
he out-of-equilibrium dynamics of gauge theories on classical computers is
spurring a worldwide effort to solve these problems on dedicated quantum
simulator devices. In this talk\, I will discuss recent progress towards q
uantum simulation of gauge theories. A particular focus will lie on a cent
ral issue in this context: How to ensure that the quantum simulator fulfil
ls the local symmetry that defines the gauge theory? In other words\, how
can one ensure that the ultracold atoms or superconducting qubits in a qua
ntum simulator behave as electrons\, positrons\, and electric field\, and
mimic Gauss’s law of electrodynamics? I will present our theoretical eff
ort to quantify – and mitigate – the influence of microscopic violatio
ns of gauge symmetry [1] as well as the first quantum simulation experimen
t that measured the fulfillment of Gauss’s law [2]. Through these discus
sions\, I will aim at outlining a roadmap towards mature and practically r
elevant quantum simulation of gauge theories.\n[1] Jad C. Halimeh\, Philip
p Hauke\, Reliability of lattice gauge theories\, arXiv:2001.00024 [cond-m
at.quant-gas] (2020)\, Staircase prethermalization and constrained dynamic
s in lattice gauge theories\, arXiv:2004.07248 [cond-mat.quant-gas] (2020)
\, Origin of staircase prethermalization in lattice gauge theories\, arXiv
:2004.07254 [cond-mat.str-el] (2020)\, Jad C. Halimeh\, Robert Ott\, Ian P
. McCulloch\, Bing Yang\, Philipp Hauke\, Robustness of gauge-invariant dy
namics in ultracold-atom gauge theories\, arXiv:2005.10249 [cond-mat.quant
-gas].\n[2] Bing Yang\, Hui Sun\, Robert Ott\, Han-Yi Wang\, Torsten V. Za
che\, Jad C. Halimeh\, Zhen-Sheng Yuan\, Philipp Hauke\, Jian-Wei Pan\, Ob
servation of gauge invariance in a 71-site quantum simulator\, arXiv:2003.
08945 [cond-mat.quant-gas] (2020).\n
LOCATION:https://researchseminars.org/talk/HEP-TN/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Erez Zohar (Racah Institute of Physics)
DTSTART;VALUE=DATE-TIME:20200723T133000Z
DTEND;VALUE=DATE-TIME:20200723T143000Z
DTSTAMP;VALUE=DATE-TIME:20240329T020007Z
UID:HEP-TN/6
DESCRIPTION:Title: A
bsorbing fermionic statistics by lattice gauge fields and eliminating ferm
ions\nby Erez Zohar (Racah Institute of Physics) as part of HEP-tensor
network seminars\n\n\nAbstract\nFermionic statistics include the parity s
uperselection rule\, having to do with the global Z_2 (parity) symmetry of
fermionic Hamiltonians. In lattice theories\, this symmetry can be gauged
and made local\, with "parity Gauss laws" relating the local fermionic pa
rity on each site with the divergence of parity gauge fields around it. Th
ese local constraints allow one to transfer the statistics from the fermio
nic matter to the gauge field. Lattice gauge theories\, whose gauge group
contains a normal Z_2 subgroup\, offer this possibility without introducin
g any extra ingredients. I will discuss a transformation we have recently
derived\, which maps lattice gauge theories with fermionic matter to equiv
alent theories with hardcore bosonic matter. In the resulting models\, the
interaction of the matter with the gauge fields is slightly changed\, but
in a local way. Unlike in the Jordan-Wigner procedure\, this mapping give
s rise to no nonlocality and can be performed in arbitrary space dimension
s. Furthermore\, it can be extended to models without any gauge field\, by
the introduction of an auxiliary\, non-dynamical Z_2 field which will abs
orb the statistics.\n
LOCATION:https://researchseminars.org/talk/HEP-TN/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Laurens Lootens (University of Ghent)
DTSTART;VALUE=DATE-TIME:20200924T133000Z
DTEND;VALUE=DATE-TIME:20200924T143000Z
DTSTAMP;VALUE=DATE-TIME:20240329T020007Z
UID:HEP-TN/7
DESCRIPTION:Title: M
atrix product operator symmetries and intertwiners for topological and cri
tical lattice models\nby Laurens Lootens (University of Ghent) as part
of HEP-tensor network seminars\n\n\nAbstract\nProjected entangled pair st
ate (PEPS) descriptions of (2+1)d topologically ordered states are charact
erized by non-local matrix product operator (MPO) symmetries on the entang
lement degrees of freedom of the PEPS tensors. Various explicit tensor net
work representations and their symmetries have been known for a long time\
, examples being G-injective and string-net PEPS. In this talk\, based on
our recent work (arXiv:2008.11187)\, I will synthesize and generalize thes
e results by showing that the consistency conditions for MPO symmetries am
ount to the defining equations of a bimodule category\, thereby showing th
at the classification of these PEPS and MPO symmetries amounts to the clas
sification of the data of a bimodule category. Different PEPS representati
ons of the same state can be related by an MPO intertwiner\, which can be
thought of as a generalized gauge transformation on the virtual level\, pr
oviding an important step towards a general fundamental theorem of PEPS. A
dditionally\, these new PEPS representations allow us to construct tensor
network representations of domain walls between different topological phas
es. Finally\, all these results have an immediate application to critical
lattice models described by CFT\, and I will illustrate this by giving an
example of orbifolding or simple current extension on the lattice.\n
LOCATION:https://researchseminars.org/talk/HEP-TN/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jutho Haegeman (University of Ghent)
DTSTART;VALUE=DATE-TIME:20201008T133000Z
DTEND;VALUE=DATE-TIME:20201008T143000Z
DTSTAMP;VALUE=DATE-TIME:20240329T020007Z
UID:HEP-TN/8
DESCRIPTION:Title: L
attice regularization and entanglement structure of the Gross Neveu model<
/a>\nby Jutho Haegeman (University of Ghent) as part of HEP-tensor network
seminars\n\n\nAbstract\nWe construct a Hamiltonian lattice regularisation
of the N-flavour Gross-Neveu model that manifestly respects the full O(2N
) symmetry\, preventing the appearance of any unwanted marginal perturbati
ons to the quantum field theory. In the context of this lattice model\, th
e dynamical mass generation is intimately related to the Coleman-Mermin-Wa
gner and Lieb-Schultz-Mattis theorem. In particular\, the model can be int
erpreted as lying at the first-order phase transition line between a trivi
al and symmetry-protected topological (SPT) phase\, which explains the deg
eneracy of the elementary kink excitations. We show that our Hamiltonian m
odel can be solved analytically in the large N limit\, producing the corre
ct expression for the mass gap. Furthermore\, we perform extensive numeric
al matrix product state simulations for N=2\, thereby recovering the emerg
ent Lorentz symmetry and the proper non-perturbative mass gap scaling in t
he continuum limit. Finally\, our simulations also reveal how the continuu
m limit manifests itself in the entanglement spectrum. As expected from co
nformal field theory we find two conformal towers\, one tower spanned by t
he linear representations of O(4)\, corresponding to the trivial phase\, a
nd the other by the projective i.e. spinor representations\, corresponding
to the SPT phase.\n
LOCATION:https://researchseminars.org/talk/HEP-TN/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Johannes Knaute (Albert Einstein Institute\, Potsdam)
DTSTART;VALUE=DATE-TIME:20201022T133000Z
DTEND;VALUE=DATE-TIME:20201022T143000Z
DTSTAMP;VALUE=DATE-TIME:20240329T020007Z
UID:HEP-TN/9
DESCRIPTION:Title: F
rom spin chains to real-time thermal field theory using tensor networks\nby Johannes Knaute (Albert Einstein Institute\, Potsdam) as part of HEP
-tensor network seminars\n\n\nAbstract\nOne of the most interesting direct
ions in theoretical high-energy and condensed-matter physics is understand
ing dynamical properties of collective states of quantum field theories. T
he most elementary tool in this quest is retarded equilibrium correlators
governing the linear response theory. In this talk\, I will describe how t
ensor networks can be used to determine retarded correlators in an ab init
io way for a class of (1 + 1)-dimensional quantum field theories that aris
e as infrared descriptions of quantum Ising chains. I will show that\, com
plemented with signal analysis using the Prony method\, tensor network cal
culations for intermediate times provide a powerful way to explore the str
ucture of singularities of the correlator in the complex frequency plane a
nd to make predictions about the thermal response to perturbations in a cl
ass of nonintegrable interacting quantum field theories. The talk is based
on arXiv:1912.08836. Time permitting\, I will also mention some follow-up
directions emerging from this line of research.\n
LOCATION:https://researchseminars.org/talk/HEP-TN/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tobias Osborne (University of Hannover)
DTSTART;VALUE=DATE-TIME:20210422T130000Z
DTEND;VALUE=DATE-TIME:20210422T140000Z
DTSTAMP;VALUE=DATE-TIME:20240329T020007Z
UID:HEP-TN/10
DESCRIPTION:Title:
Holographic networks for 1+1 de Sitter spacetimes\nby Tobias Osborne (
University of Hannover) as part of HEP-tensor network seminars\n\n\nAbstra
ct\nHolographic tensor networks associated to tilings of (1+1)-dimensional
de Sitter spacetime are introduced. Basic features of these networks are
discussed\, compared\, and contrasted with conjectured properties of quant
um gravity in de Sitter spacetime. Notably\, a correspondence between the
quantum information capacity of the network and the cosmological constant
will be highlighted.\n
LOCATION:https://researchseminars.org/talk/HEP-TN/10/
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