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SUMMARY:Hamiltonian methods from Quantum Information Technologies: A Unifi
 ed Program from Z2 String Dynamics to Continuous U(1) Electrodynamics with
  Superconducting Circuits
DTSTART:20260708T120000Z
DTEND:20260708T140000Z
DTSTAMP:20260913T171500Z
UID:indico-event-1701077@indico.cern.ch
DESCRIPTION:Speakers: Enrique Rico Ortega (CERN)\n\nReal-time\, non-pertur
 bative dynamics of gauge theories\, from string formation and fragmentatio
 n to thermalization and jet production\, lie largely beyond the reach of s
 tandard Euclidean Monte Carlo methods. Hamiltonian formulations of lattice
  gauge theories\, combined with tools from quantum information science\, o
 ffer a complementary route that provides direct access to time evolution\,
  avoids the sign problem\, and enforces gauge invariance at the level of t
 he physical Hilbert space.\nIn this colloquium\, I present three interconn
 ected works that systematically develop this program\, using the Z2 and U(
 1) gauge groups as a ladder of increasing complexity. In the first\, we us
 e matrix product state (MPS) methods to study the roughening transition of
  an electric flux string in a (2+1)-dimensional Z2 lattice gauge theory. W
 orking in the Hamiltonian framework\, we obtain the universal Lüscher cor
 rection to the confining potential\, extract a central charge c = 1 consis
 tent with an effective free-boson description of the rough string\, confir
 m the restoration of rotational symmetry\, and reveal qualitatively distin
 ct real-time entanglement dynamics in the roughening and strongly-confined
  regimes\, which are inaccessible to Euclidean approaches. In the second\,
  we extend to the Z2-Higgs model with dynamical matter and implement it on
  a superconducting quantum processor with up to 144 qubits and a circuit d
 epth of 192 two-qubit layers. Exploiting local gauge symmetry for error su
 ppression and mitigation\, we resolve a dynamical hierarchy between longit
 udinal string oscillations and transverse endpoint-bending modes\, precurs
 ors to hadronization and meson rotational spectra\, and observe multi-stri
 ng fragmentation and recombination. In the third work\, we propose an anal
 og superconducting-circuit architecture that realizes compact U(1) lattice
  gauge theory using the intrinsic infinite-dimensional Hilbert space of Jo
 sephson-junction phase and charge variables. Gauss's law follows exactly f
 rom Kirchhoff's current conservation\, with no truncation\, penalty terms\
 , or auxiliary stabilizers\, and numerical diagonalization confirms the em
 ergence of compact electrodynamics and coherent vortex excitations. Togeth
 er\, these results establish a complementary triad of classical tensor net
 works\, digital NISQ hardware\, and analog circuit design as a viable and 
 scalable strategy for probing non-perturbative gauge dynamics in real time
 .\n\nhttps://indico.cern.ch/event/1701077/\n\nZoom: https://cern.zoom.us/j
 /67346292748?pwd=ZnRkQWh0ZXVFQTc5K256QW5NcEcrdz09
LOCATION:4/3-006 - TH Conference Room (CERN)
URL:https://indico.cern.ch/event/1701077/
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