831 citations · 1.1k across the 7 of their papers we have counts for
7 papers
Continuous matrix product operators for quantum fields
Erickson Tjoa, J. Ignacio Cirac
In this work we introduce an ansatz for continuous matrix product operators for quantum field theory. We show that (i) they admit a closed-form expression in terms of finite number…
Large-N limit of spontaneous superradiance
Daniel Malz, Rahul Trivedi, Ignacio Cirac
We investigate the thermodynamic limit of Dicke superradiance. We find an expression for the system's density matrix that we can prove is exact in the limit of large atom numbers N…
Matrix Product States and Projected Entangled Pair States: Concepts, Symmetries, and Theorems
Ignacio Cirac, David Perez-Garcia, Norbert Schuch +1
The theory of entanglement provides a fundamentally new language for describing interactions and correlations in many body systems. Its vocabulary consists of qubits and entangled…
Removing Staggered Fermionic Matter in and Lattice Gauge Theories
Erez Zohar, J. Ignacio Cirac
Gauge theories, through the local symmetry which is in their core, exhibit many local constraints, that must be taken care of and addressed in any calculation. In the Hamiltonian p…
Nuclear spin cooling using Overhauser field selective coherent population trapping
Mena Issler, Eric Kessler, Geza Giedke +4
Hyperfine interactions with a nuclear spin environment fundamentally limit the coherence properties of confined electron spins in the solid-state. Here, we show that a quantum inte…
The computational difficulty of finding MPS ground states
Norbert Schuch, Ignacio Cirac, Frank Verstraete
We determine the computational difficulty of finding ground states of one-dimensional (1D) Hamiltonians which are known to be Matrix Product States (MPS). To this end, we construct…