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Gauged Gaussian Projected Entangled Pair States: A High Dimensional Tensor Network Formulation for Lattice Gauge Theories
Gauge theories form the basis of our understanding of modern physics—ranging from the description of quarks and gluons to …
Ariel Kelman, Umberto Borla, Itay Gomelski, Jonathan Elyovich, Gertian Roose, Patrick Emonts, Erez Zohar
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A Christmas Story about Quantum Teleportation
Quantum teleportation is a concept that fascinates and confuses many people, in particular, given that it combines quantum physics and …
Barry W. Fitzgerald, Patrick Emonts, Jordi Tura
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Variational Monte Carlo Algorithm for Lattice Gauge Theories with Continuous Gauge Groups: A Study of ( 2 + 1 ) -Dimensional Compact QED with Dynamical Fermions at Finite Density
Lattice gauge theories coupled to fermionic matter account for many interesting phenomena in both highenergy physics and …
Julian Bender, Patrick Emonts, J. Ignacio Cirac
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Fermionic Gaussian Projected Entangled Pair States in 3 + 1 D : Rotations and Relativistic Limits
Fermionic Gaussian Projected Entangled Pair States (PEPS) are fermionic tensor network state constructions which describe the physics …
Patrick Emonts, Erez Zohar
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Finding the Ground State of a Lattice Gauge Theory with Fermionic Tensor Networks: A $2+1d$ $Z_2$ Demonstration
Tensor network states, and in particular Projected Entangled Pair States (PEPS) have been a strong ansatz for the variational study of …
Patrick Emonts, Ariel Kelman, Umberto Borla, Sergej Moroz, Snir Gazit, Erez Zohar
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Reduced Density Matrix and Entanglement of Interacting Quantum Field Theories with Hamiltonian Truncation
Entanglement is the fundamental difference between classical and quantum systems and has become one of the guiding principles in the …
Patrick Emonts, Ivan Kukuljan
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Gaussian Continuous Tensor Network States for Simple Bosonic Field Theories
Tensor networks states allow one to find the low-energy states of local lattice Hamiltonians through variational optimization. …
Teresa D. Karanikolaou, Patrick Emonts, Antoine Tilloy
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Real-Time Dynamics in $2 + 1$D Compact QED Using Complex Periodic Gaussian States
We introduce a class of variational states to study ground-state properties and real-time dynamics in (2 + 1)-dimensional compact QED. …
Julian Bender, Patrick Emonts, Erez Zohar, J. Ignacio Cirac
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Variational Monte Carlo Simulation with Tensor Networks of a Pure $Z_3$ Gauge Theory in $( 2 + 1 )$ D
Variational minimization of tensor network states enables the exploration of low energy states of lattice gauge theories. However, the …
Patrick Emonts, Mari Carmen Bañuls, Ignacio Cirac, Erez Zohar
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Gauss Law, Minimal Coupling and Fermionic PEPS for Lattice Gauge Theories
In these lecture notes, we review some recent works on Hamiltonian lattice gauge theories, that involve, in particular, tensor network …
Patrick Emonts, Erez Zohar
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