Entanglement renormalization for quantum fields with boundaries and defects

• URL: http://arxiv.org/abs/2103.07463v1
• Date: Fri, 12 Mar 2021 18:59:23 GMT
• Title: Entanglement renormalization for quantum fields with boundaries and defects
• Authors: Adri\'an Franco-Rubio
• Abstract summary: Multiscale Entanglement Renormalization Ansatz (cMERA) gives a variational wavefunctional for ground states of quantum field theoretic Hamiltonians. A cMERA is defined as the result of applying to a reference unentangled state a unitary evolution generated by a quasilocal operator, the entangler. Here we show how this generalization works, using the 1+1d free boson cMERA as a proof-of-principle example.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The continuous Multiscale Entanglement Renormalization Ansatz (cMERA) [Haegeman et al., Phys. Rev. Lett. 110, 100402 (2013)] gives a variational wavefunctional for ground states of quantum field theoretic Hamiltonians. A cMERA is defined as the result of applying to a reference unentangled state a unitary evolution generated by a quasilocal operator, the entangler. This makes the extension of the formalism to the case where boundaries and defects are present nontrivial. Here we show how this generalization works, using the 1+1d free boson cMERA as a proof-of-principle example, and restricting ourselves to conformal boundaries and defects. In our prescription, the presence of a boundary or defect induces a modification of the entangler localized only to its vicinity, in analogy with the so-called principle of minimal updates for the lattice tensor network MERA.

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